Variational study of fermionic and bosonic systems with non-Gaussian states: Theory and applications
NASA Astrophysics Data System (ADS)
Shi, Tao; Demler, Eugene; Ignacio Cirac, J.
2018-03-01
We present a new variational method for investigating the ground state and out of equilibrium dynamics of quantum many-body bosonic and fermionic systems. Our approach is based on constructing variational wavefunctions which extend Gaussian states by including generalized canonical transformations between the fields. The key advantage of such states compared to simple Gaussian states is presence of non-factorizable correlations and the possibility of describing states with strong entanglement between particles. In contrast to the commonly used canonical transformations, such as the polaron or Lang-Firsov transformations, we allow parameters of the transformations to be time dependent, which extends their regions of applicability. We derive equations of motion for the parameters characterizing the states both in real and imaginary time using the differential structure of the variational manifold. The ground state can be found by following the imaginary time evolution until it converges to a steady state. Collective excitations in the system can be obtained by linearizing the real-time equations of motion in the vicinity of the imaginary time steady-state solution. Our formalism allows us not only to determine the energy spectrum of quasiparticles and their lifetime, but to obtain the complete spectral functions and to explore far out of equilibrium dynamics such as coherent evolution following a quantum quench. We illustrate and benchmark this framework with several examples: a single polaron in the Holstein and Su-Schrieffer-Heeger models, non-equilibrium dynamics in the spin-boson and Kondo models, the superconducting to charge density wave phase transitions in the Holstein model.
Geometric diffusion of quantum trajectories
Yang, Fan; Liu, Ren-Bao
2015-01-01
A quantum object can acquire a geometric phase (such as Berry phases and Aharonov–Bohm phases) when evolving along a path in a parameter space with non-trivial gauge structures. Inherent to quantum evolutions of wavepackets, quantum diffusion occurs along quantum trajectories. Here we show that quantum diffusion can also be geometric as characterized by the imaginary part of a geometric phase. The geometric quantum diffusion results from interference between different instantaneous eigenstate pathways which have different geometric phases during the adiabatic evolution. As a specific example, we study the quantum trajectories of optically excited electron-hole pairs in time-reversal symmetric insulators, driven by an elliptically polarized terahertz field. The imaginary geometric phase manifests itself as elliptical polarization in the terahertz sideband generation. The geometric quantum diffusion adds a new dimension to geometric phases and may have applications in many fields of physics, e.g., transport in topological insulators and novel electro-optical effects. PMID:26178745
Matching-pursuit/split-operator-Fourier-transform computations of thermal correlation functions.
Chen, Xin; Wu, Yinghua; Batista, Victor S
2005-02-08
A rigorous and practical methodology for evaluating thermal-equilibrium density matrices, finite-temperature time-dependent expectation values, and time-correlation functions is described. The method involves an extension of the matching-pursuit/split-operator-Fourier-transform method to the solution of the Bloch equation via imaginary-time propagation of the density matrix and the evaluation of Heisenberg time-evolution operators through real-time propagation in dynamically adaptive coherent-state representations.
Gradient optimization of finite projected entangled pair states
NASA Astrophysics Data System (ADS)
Liu, Wen-Yuan; Dong, Shao-Jun; Han, Yong-Jian; Guo, Guang-Can; He, Lixin
2017-05-01
Projected entangled pair states (PEPS) methods have been proven to be powerful tools to solve strongly correlated quantum many-body problems in two dimensions. However, due to the high computational scaling with the virtual bond dimension D , in a practical application, PEPS are often limited to rather small bond dimensions, which may not be large enough for some highly entangled systems, for instance, frustrated systems. Optimization of the ground state using the imaginary time evolution method with a simple update scheme may go to a larger bond dimension. However, the accuracy of the rough approximation to the environment of the local tensors is questionable. Here, we demonstrate that by combining the imaginary time evolution method with a simple update, Monte Carlo sampling techniques and gradient optimization will offer an efficient method to calculate the PEPS ground state. By taking advantage of massive parallel computing, we can study quantum systems with larger bond dimensions up to D =10 without resorting to any symmetry. Benchmark tests of the method on the J1-J2 model give impressive accuracy compared with exact results.
A Hands-On Simulation of Natural Selection in an Imaginary Organism, Platysoma apoda.
ERIC Educational Resources Information Center
Fifield, Steve; Fall, Bruce
1992-01-01
Describes a simulation exercise involving an imaginary organism in which students study the effect of predation on allele frequencies, examine the assumptions of the Hardy-Weinberg law, and consider whether the need to survive is a guiding force in evolution. Includes instruction for conducting the exercise. (MDH)
Unifying time evolution and optimization with matrix product states
NASA Astrophysics Data System (ADS)
Haegeman, Jutho; Lubich, Christian; Oseledets, Ivan; Vandereycken, Bart; Verstraete, Frank
2016-10-01
We show that the time-dependent variational principle provides a unifying framework for time-evolution methods and optimization methods in the context of matrix product states. In particular, we introduce a new integration scheme for studying time evolution, which can cope with arbitrary Hamiltonians, including those with long-range interactions. Rather than a Suzuki-Trotter splitting of the Hamiltonian, which is the idea behind the adaptive time-dependent density matrix renormalization group method or time-evolving block decimation, our method is based on splitting the projector onto the matrix product state tangent space as it appears in the Dirac-Frenkel time-dependent variational principle. We discuss how the resulting algorithm resembles the density matrix renormalization group (DMRG) algorithm for finding ground states so closely that it can be implemented by changing just a few lines of code and it inherits the same stability and efficiency. In particular, our method is compatible with any Hamiltonian for which ground-state DMRG can be implemented efficiently. In fact, DMRG is obtained as a special case of our scheme for imaginary time evolution with infinite time step.
Real time visualization of quantum walk
DOE Office of Scientific and Technical Information (OSTI.GOV)
Miyazaki, Akihide; Hamada, Shinji; Sekino, Hideo
2014-02-20
Time evolution of quantum particles like electrons is described by time-dependent Schrödinger equation (TDSE). The TDSE is regarded as the diffusion equation of electrons with imaginary diffusion coefficients. And the TDSE is solved by quantum walk (QW) which is regarded as a quantum version of a classical random walk. The diffusion equation is solved in discretized space/time as in the case of classical random walk with additional unitary transformation of internal degree of freedom typical for quantum particles. We call the QW for solution of the TDSE a Schrödinger walk (SW). For observation of one quantum particle evolution under amore » given potential in atto-second scale, we attempt a successive computation and visualization of the SW. Using Pure Data programming, we observe the correct behavior of a probability distribution under the given potential in real time for observers of atto-second scale.« less
Imaginaries of nuclear energy in the Portuguese parliament: Between promise, risk, and democracy.
Santos Pereira, Tiago; Carvalho, António; Fonseca, Paulo F C
2017-04-01
This article explores the evolution of the nuclear energy debate and its associated controversies in the Portuguese parliament. The analysis focuses on the dictatorial regime of the New State (from the beginning of the nuclear program in 1951 until the 1974 revolution) and on the democratic period (post-1974). Portugal, as an exporting country of uranium minerals, significantly invested in the development of a national capacity in nuclear research, but never developed an endogenous nuclear power infrastructure. Through the analysis of parliamentary debates, this article characterizes the dynamic evolution of the Portuguese sociotechnical imaginary on nuclear energy and technology interlinked with ambivalent representations, including the promise of nuclear energy as key for the constitution of a technological Nation or as prompting new sociotechnical risks.
Self-consistent collective coordinate for reaction path and inertial mass
NASA Astrophysics Data System (ADS)
Wen, Kai; Nakatsukasa, Takashi
2016-11-01
We propose a numerical method to determine the optimal collective reaction path for a nucleus-nucleus collision, based on the adiabatic self-consistent collective coordinate (ASCC) method. We use an iterative method, combining the imaginary-time evolution and the finite amplitude method, for the solution of the ASCC coupled equations. It is applied to the simplest case, α -α scattering. We determine the collective path, the potential, and the inertial mass. The results are compared with other methods, such as the constrained Hartree-Fock method, Inglis's cranking formula, and the adiabatic time-dependent Hartree-Fock (ATDHF) method.
Gaps in the Rock and Fossil Records and Implications for the Rate and Mode of Evolution.
ERIC Educational Resources Information Center
Smith, Grant Sackett
1988-01-01
Examines three types of gaps in the fossil record: real gaps, imaginary gaps, and temporary gaps. Reviews some recent evidence concerning evolution from the paleontological record of microfossils, invertebrates, and vertebrates in order to make some general conclusions regarding the manner in which life evolved on earth. (CW)
Imaginary geometric phases of quantum trajectories in high-order terahertz sideband generation
NASA Astrophysics Data System (ADS)
Yang, Fan; Liu, Ren-Bao
2014-03-01
Quantum evolution of particles under strong fields can be described by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integral. The quantum trajectories are the key concept to understand the high-order terahertz siedeband generation (HSG) in semiconductors. Due to the nontrivial ``vacuum'' states of band materials, the quantum trajectories of optically excited electron-hole pairs in semiconductors can accumulate geometric phases under the driving of an elliptically polarized THz field. We find that the geometric phase of the stationary trajectory is generally complex with both real and imaginary parts. In monolayer MoS2, the imaginary parts of the geometric phase leads to a changing of the polarization ellipticity of the sideband. We further show that the imaginary part originates from the quantum interference of many trajectories with different phases. Thus the observation of the polarization ellipticity of the sideband shall be a good indication of the quantum nature of the stationary trajectory. This work is supported by Hong Kong RGC/GRF 401512 and the CUHK Focused Investments Scheme.
From Maxwell's Electrodynamics to Relativity, a Geometric Journey
NASA Astrophysics Data System (ADS)
Smith, Felix T.
2015-05-01
Since Poincaré and Minkowski recognized ict as a fourth coordinate in a four-space associated with the Lorentz transformation, the occurrence of that imaginary participant in the relativistic four-vector has been a mystery of relativistic dynamics. A reexamination of Maxwell's equations (ME) shows that one of their necessary implications is to bring to light a constraint that distorts the 3-space of our experience from strict Euclidean zero curvature by a time-varying, spatially isotropic term creating a minute curvature Kcurv(t) and therefore a radius of curvature rcurv(t) =Kcurv- 1 / 2 (t). In the light of Michelson-Morley and the Lorentz transformation, this radius must be imaginary, and the geometric curvature K must be negative. From the time dependence of the ME the rate of change of the curvature radius is shown to be drcurv / dt = ic , agreeing exactly with the Hubble expansion. The imaginary magnitude is the radius of curvature; the time itself is not imaginary. Minkowski's space-time is unjustified. Important consequences for the foundations of special relativity follow.
Fantastic animals as an experimental model to teach animal adaptation
Guidetti, Roberto; Baraldi, Laura; Calzolai, Caterina; Pini, Lorenza; Veronesi, Paola; Pederzoli, Aurora
2007-01-01
Background Science curricula and teachers should emphasize evolution in a manner commensurate with its importance as a unifying concept in science. The concept of adaptation represents a first step to understand the results of natural selection. We settled an experimental project of alternative didactic to improve knowledge of organism adaptation. Students were involved and stimulated in learning processes by creative activities. To set adaptation in a historic frame, fossil records as evidence of past life and evolution were considered. Results The experimental project is schematized in nine phases: review of previous knowledge; lesson on fossils; lesson on fantastic animals; planning an imaginary world; creation of an imaginary animal; revision of the imaginary animals; adaptations of real animals; adaptations of fossil animals; and public exposition. A rubric to evaluate the student's performances is reported. The project involved professors and students of the University of Modena and Reggio Emilia and of the "G. Marconi" Secondary School of First Degree (Modena, Italy). Conclusion The educational objectives of the project are in line with the National Indications of the Italian Ministry of Public Instruction: knowledge of the characteristics of living beings, the meanings of the term "adaptation", the meaning of fossils, the definition of ecosystem, and the particularity of the different biomes. At the end of the project, students will be able to grasp particular adaptations of real organisms and to deduce information about the environment in which the organism evolved. This project allows students to review previous knowledge and to form their personalities. PMID:17767729
NASA Astrophysics Data System (ADS)
Wittek, Peter; Calderaro, Luca
2015-12-01
We extended a parallel and distributed implementation of the Trotter-Suzuki algorithm for simulating quantum systems to study a wider range of physical problems and to make the library easier to use. The new release allows periodic boundary conditions, many-body simulations of non-interacting particles, arbitrary stationary potential functions, and imaginary time evolution to approximate the ground state energy. The new release is more resilient to the computational environment: a wider range of compiler chains and more platforms are supported. To ease development, we provide a more extensive command-line interface, an application programming interface, and wrappers from high-level languages.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Mekni, Omar, E-mail: omarmekni-lmop@yahoo.fr; Arifa, Hakim; Askri, Besma
2014-09-14
Usually, the trapping phenomenon in insulating materials is studied by injecting charges using a Scanning Electron Microscope. In this work, we use the dielectric spectroscopy technique for showing a correlation between the dielectric properties and the trapping-charging ability of insulating materials. The evolution of the complex permittivity (real and imaginary parts) as a function of frequency and temperature reveals different types of relaxation according to the trapping ability of the material. We found that the space charge relaxation at low frequencies affects the real part of the complex permittivity ε{sup ´} and the dissipation factor Tan(δ). We prove that themore » evolution of the imaginary part of the complex permittivity against temperature ε{sup ′′}=f(T) reflects the phenomenon of charge trapping and detrapping as well as trapped charge evolution Q{sub p}(T). We also use the electric modulus formalism to better identify the space charge relaxation. The investigation of trapping or conductive nature of insulating materials was mainly made by studying the activation energy and conductivity. The conduction and trapping parameters are determined using the Correlated Barrier Hopping (CBH) model in order to confirm the relation between electrical properties and charge trapping ability.« less
Potential barrier classification by short-time measurement
NASA Astrophysics Data System (ADS)
Granot, Er'El; Marchewka, Avi
2006-03-01
We investigate the short-time dynamics of a delta-function potential barrier on an initially confined wave packet. There are mainly two conclusions: (A) At short times the probability density of the first particles that passed through the barrier is unaffected by it. (B) When the barrier is absorptive (i.e., its potential is imaginary) it affects the transmitted wave function at shorter times than a real potential barrier. Therefore, it is possible to distinguish between an imaginary and a real potential barrier by measuring its effect at short times only on the transmitting wave function.
From Anticipatory Corpse to Posthuman God.
Bishop, Jeffrey P
2016-12-01
The essays in this issue of JMP are devoted to critical engagement of my book, The Anticipatory Corpse The essays, for the most part, accept the main thrust of my critique of medicine. The main thrust of the criticism is whether the scope of the critique is too totalizing, and whether the proposed remedy is sufficient. I greatly appreciate these interventions because they allow me this occasion to respond and clarify, and to even further extend the argument of my book. In this response essay, I maintain that the regnant social imaginary of medicine is the regnant social imaginary of our time. It is grounded in a specific ontotheology: where ontology is a power ontology; where material is malleable to the open-ended organization of power and dependent only on working out the efficient mechanisms of its enactment; where ethically it is oriented only to the immanent telos of utility maximization in the short run, and ultimately to some posthuman future in the long run. This ontotheology originates in the anticipatory corpse and is ordered toward some god-like posthuman being. The entire ontotheology finds enactment through the political economy of neoliberalism. This social imaginary constantly works to insulate itself from other social imaginaries through the use of its institutional power, through marginalization, circumscription, or absorption. The modern social imaginary of neoliberal societies marginalizes and politically isolates other social imaginaries, or transforms them into something acceptable to the neoliberal imaginary. Yet, these other social imaginaries could influence the larger social imaginary in novel ways, sometimes through withdrawal and sometimes through challenges. These other practices-again, usually practices ordered according to different ontological and teleological purposes-might serve as a source of renewal and transformation, but only if the practitioners of these other social imaginaries understand the ontotheological powers that they are up against. © The Author 2016. Published by Oxford University Press, on behalf of the Journal of Medicine and Philosophy Inc. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com.
ERIC Educational Resources Information Center
Stoever, Edward C., Jr.
Crustal Evolution Education Project (CEEP) modules were designed to: (1) provide students with the methods and results of continuing investigations into the composition, history, and processes of the earth's crust and the application of this knowledge to man's activities and (2) to be used by teachers with little or no previous background in the…
An Adolescent and His Imaginary Companions: From Quasi-Delusional Constructs to Creative Imagination
ERIC Educational Resources Information Center
Adamo, Simonetta
2004-01-01
In this paper I shall describe the psychotherapeutic treatment of a 14-year-old boy, who suffered from mild Asperger's syndrome. This adolescent had a multiplicity of imaginary friends, which protected him from catastrophic feelings of loneliness and deadness, but at the same time interfered with the possibility of establishing meaningful…
Real-time and imaginary-time quantum hierarchal Fokker-Planck equations
NASA Astrophysics Data System (ADS)
Tanimura, Yoshitaka
2015-04-01
We consider a quantum mechanical system represented in phase space (referred to hereafter as "Wigner space"), coupled to a harmonic oscillator bath. We derive quantum hierarchal Fokker-Planck (QHFP) equations not only in real time but also in imaginary time, which represents an inverse temperature. This is an extension of a previous work, in which we studied a spin-boson system, to a Brownian system. It is shown that the QHFP in real time obtained from a correlated thermal equilibrium state of the total system possesses the same form as those obtained from a factorized initial state. A modified terminator for the hierarchal equations of motion is introduced to treat the non-Markovian case more efficiently. Using the imaginary-time QHFP, numerous thermodynamic quantities, including the free energy, entropy, internal energy, heat capacity, and susceptibility, can be evaluated for any potential. These equations allow us to treat non-Markovian, non-perturbative system-bath interactions at finite temperature. Through numerical integration of the real-time QHFP for a harmonic system, we obtain the equilibrium distributions, the auto-correlation function, and the first- and second-order response functions. These results are compared with analytically exact results for the same quantities. This provides a critical test of the formalism for a non-factorized thermal state and elucidates the roles of fluctuation, dissipation, non-Markovian effects, and system-bath coherence. Employing numerical solutions of the imaginary-time QHFP, we demonstrate the capability of this method to obtain thermodynamic quantities for any potential surface. It is shown that both types of QHFP equations can produce numerical results of any desired accuracy. The FORTRAN source codes that we developed, which allow for the treatment of Wigner space dynamics with any potential form (TanimuranFP15 and ImTanimuranFP15), are provided as the supplementary material.
Exclusive, hard diffraction in QCD
NASA Astrophysics Data System (ADS)
Freund, Andreas
In the first chapter we give an introduction to hard diffractive scattering in QCD to introduce basic concepts and terminology, thus setting the stage for the following chapters. In the second chapter we make predictions for nondiagonal parton distributions in a proton in the LLA. We calculate the DGLAP-type evolution kernels in the LLA, solve the nondiagonal GLAP evolution equations with a modified version of the CTEQ-package and comment on the range of applicability of the LLA in the asymmetric regime. We show that the nondiagonal gluon distribution g(x1,x2,t,μ2) can be well approximated at small x by the conventional gluon density xG(x,μ2). In the third chapter, we discuss the algorithms used in the LO evolution program for nondiagonal parton distributions in the DGLAP region and discuss the stability of the code. Furthermore, we demonstrate that we can reproduce the case of the LO diagonal evolution within less than 0.5% of the original code as developed by the CTEQ-collaboration. In chapter 4, we show that factorization holds for the deeply virtual Compton scattering amplitude in QCD, up to power suppressed terms, to all orders in perturbation theory. Furthermore, we show that the virtuality of the produced photon does not influence the general theorem. In chapter 5, we demonstrate that perturbative QCD allows one to calculate the absolute cross section of diffractive exclusive production of photons at large Q2 at HERA, while the aligned jet model allows one to estimate the cross section for intermediate Q2~2GeV2. Furthermore, we find that the imaginary part of the amplitude for the production of real photons is larger than the imaginary part of the corresponding DIS amplitude, leading to predictions of a significant counting rate for the current generation of experiments at HERA. We also find a large azimuthal angle asymmetry in ep scattering for HERA kinematics which allows one to directly measure the real part of the DVCS amplitude and hence the nondiagonal parton distributions. In the last chapter, we propose a new methodology of gaining shape fits to nondiagonal parton distributions and, for the first time, to determine the ratio η of the real to imaginary part of the DIS amplitude. We do this by using several recent fits to F2(x,Q2) to compute the asymmetry A for the combined DVCS and Bethe- Heitler cross section. The asymmetry A, isolates the interference term of DVCS and Bethe-Heitler in the total cross section, in other words, by isolating the real part of the DVCS amplitude through this asymmetry one has access to the nondiagonal parton distributions for the first time. Comparing the predictions for A against experiment would allow one to make a prediction of the shape, though not absolute value, of nondiagonal parton distributions. In the appendix, to illustrate an application of distributional methods as discussed in chapter 4, we will show, with the aid of simple examples, how to make simple estimates of the sizes of higher-order Feynman graphs. Our methods enable appropriate values of renormalization and factorization scales to be made. They allow the diagnosis of the source of unusually large corrections that are in need of resummation.
Umari, Amjad M.J.; Gorelick, Steven M.
1986-01-01
In the numerical modeling of groundwater solute transport, explicit solutions may be obtained for the concentration field at any future time without computing concentrations at intermediate times. The spatial variables are discretized and time is left continuous in the governing differential equation. These semianalytical solutions have been presented in the literature and involve the eigensystem of a coefficient matrix. This eigensystem may be complex (i.e., have imaginary components) due to the asymmetry created by the advection term in the governing advection-dispersion equation. Previous investigators have either used complex arithmetic to represent a complex eigensystem or chosen large dispersivity values for which the imaginary components of the complex eigenvalues may be ignored without significant error. It is shown here that the error due to ignoring the imaginary components of complex eigenvalues is large for small dispersivity values. A new algorithm that represents the complex eigensystem by converting it to a real eigensystem is presented. The method requires only real arithmetic.
Improved real-time dynamics from imaginary frequency lattice simulations
NASA Astrophysics Data System (ADS)
Pawlowski, Jan M.; Rothkopf, Alexander
2018-03-01
The computation of real-time properties, such as transport coefficients or bound state spectra of strongly interacting quantum fields in thermal equilibrium is a pressing matter. Since the sign problem prevents a direct evaluation of these quantities, lattice data needs to be analytically continued from the Euclidean domain of the simulation to Minkowski time, in general an ill-posed inverse problem. Here we report on a novel approach to improve the determination of real-time information in the form of spectral functions by setting up a simulation prescription in imaginary frequencies. By carefully distinguishing between initial conditions and quantum dynamics one obtains access to correlation functions also outside the conventional Matsubara frequencies. In particular the range between ω0 and ω1 = 2πT, which is most relevant for the inverse problem may be more highly resolved. In combination with the fact that in imaginary frequencies the kernel of the inverse problem is not an exponential but only a rational function we observe significant improvements in the reconstruction of spectral functions, demonstrated in a simple 0+1 dimensional scalar field theory toy model.
NASA Astrophysics Data System (ADS)
Piroli, Lorenzo; Pozsgay, Balázs; Vernier, Eric
2017-02-01
We consider the computation of the Loschmidt echo after quantum quenches in the interacting XXZ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the Néel and tilted Néel states. We apply the quantum transfer matrix (QTM) approach to derive generalized TBA equations, which follow from the fusion hierarchy of the appropriate QTM’s. Our formulas are valid for arbitrary imaginary time and for real times at least up to a time t 0, after which the integral equations have to be modified. In some regimes, t 0 is seen to be either very large or infinite, allowing to explore in detail the post-quench dynamics of the system. As an important part of our work, we show that for the Néel state our imaginary time results can be recovered by means of the quench action approach, unveiling a direct connection with the quantum transfer matrix formalism. In particular, we show that in the zero-time limit, the study of our TBA equations allows for a simple alternative derivation of the recently obtained Bethe ansatz distribution functions for the Néel, tilted Néel and tilted ferromagnet states.
Real-time and imaginary-time quantum hierarchal Fokker-Planck equations
DOE Office of Scientific and Technical Information (OSTI.GOV)
Tanimura, Yoshitaka, E-mail: tanimura@kuchem.kyoto-u.ac.jp
2015-04-14
We consider a quantum mechanical system represented in phase space (referred to hereafter as “Wigner space”), coupled to a harmonic oscillator bath. We derive quantum hierarchal Fokker-Planck (QHFP) equations not only in real time but also in imaginary time, which represents an inverse temperature. This is an extension of a previous work, in which we studied a spin-boson system, to a Brownian system. It is shown that the QHFP in real time obtained from a correlated thermal equilibrium state of the total system possesses the same form as those obtained from a factorized initial state. A modified terminator for themore » hierarchal equations of motion is introduced to treat the non-Markovian case more efficiently. Using the imaginary-time QHFP, numerous thermodynamic quantities, including the free energy, entropy, internal energy, heat capacity, and susceptibility, can be evaluated for any potential. These equations allow us to treat non-Markovian, non-perturbative system-bath interactions at finite temperature. Through numerical integration of the real-time QHFP for a harmonic system, we obtain the equilibrium distributions, the auto-correlation function, and the first- and second-order response functions. These results are compared with analytically exact results for the same quantities. This provides a critical test of the formalism for a non-factorized thermal state and elucidates the roles of fluctuation, dissipation, non-Markovian effects, and system-bath coherence. Employing numerical solutions of the imaginary-time QHFP, we demonstrate the capability of this method to obtain thermodynamic quantities for any potential surface. It is shown that both types of QHFP equations can produce numerical results of any desired accuracy. The FORTRAN source codes that we developed, which allow for the treatment of Wigner space dynamics with any potential form (TanimuranFP15 and ImTanimuranFP15), are provided as the supplementary material.« less
Individual differences in children’s private speech: The role of imaginary companions
Davis, Paige E.; Meins, Elizabeth; Fernyhough, Charles
2013-01-01
Relations between children’s imaginary companion status and their engagement in private speech during free play were investigated in a socially diverse sample of 5-year-olds (N = 148). Controlling for socioeconomic status, receptive verbal ability, total number of utterances, and duration of observation, there was a main effect of imaginary companion status on type of private speech. Children who had imaginary companions were more likely to engage in covert private speech compared with their peers who did not have imaginary companions. These results suggest that the private speech of children with imaginary companions is more internalized than that of their peers who do not have imaginary companions and that social engagement with imaginary beings may fulfill a similar role to social engagement with real-life partners in the developmental progression of private speech. PMID:23978382
What Can Vampires Teach Us about Immunology?
Schneider, David S
2016-04-01
Speculative fiction examines the leading edge of science and can be used to introduce ideas into the classroom. For example, most students are already familiar with the fictional infectious diseases responsible for vampire and zombie outbreaks. The disease dynamics of these imaginary ailments follow the same rules we see for real diseases and can be used to remind students that they already understand the basic rules of disease ecology and immunology. By engaging writers of this sort of fiction in an effort to solve problems in immunology we may be able to perform a directed evolution experiment where we follow the evolution of plots rather than genetic traits. Copyright © 2016. Published by Elsevier Ltd.
Complex hybrid inflation and baryogenesis.
Delepine, David; Martínez, Carlos; Ureña-López, L Arturo
2007-04-20
We propose a hybrid inflation model with a complex waterfall field which contains an interaction term that breaks the U(1) global symmetry associated with the waterfall field charge. We show that the asymmetric evolution of the real and imaginary parts of the complex field during the phase transition at the end of inflation translates into a charge asymmetry. The latter strongly depends on the vacuum expectation value of the waterfall field, which is well constrained by diverse cosmological observations.
Factorials of real negative and imaginary numbers - A new perspective.
Thukral, Ashwani K
2014-01-01
Presently, factorials of real negative numbers and imaginary numbers, except for zero and negative integers are interpolated using the Euler's gamma function. In the present paper, the concept of factorials has been generalised as applicable to real and imaginary numbers, and multifactorials. New functions based on Euler's factorial function have been proposed for the factorials of real negative and imaginary numbers. As per the present concept, the factorials of real negative numbers, are complex numbers. The factorials of real negative integers have their imaginary part equal to zero, thus are real numbers. Similarly, the factorials of imaginary numbers are complex numbers. The moduli of the complex factorials of real negative numbers, and imaginary numbers are equal to their respective real positive number factorials. Fractional factorials and multifactorials have been defined in a new perspective. The proposed concept has also been extended to Euler's gamma function for real negative numbers and imaginary numbers, and beta function.
NASA Technical Reports Server (NTRS)
Sinyuk, Alexander; Torres, Omar; Dubovik, Oleg; Bhartia, P. K. (Technical Monitor)
2002-01-01
We present a method for retrieval of imaginary part of refractive index of desert dust aerosol in UV part of spectrum along with aerosol layer height above the ground. The method uses Total Ozone Mapping Spectrometer' (TOMS) measurements of the top of atmosphere radiances (331 nm, 360 nm) and aerosol optical depth provided by Aerosol Robotic Network (AERONET) (440 nm). Obtained values of imaginary part of refractive index retrieved for Saharan dust aerosol at 360 nm are significantly lower than previously reported values. The average retrieved values vary between 0.0054 and 0.0066 for different geographical locations. Our findings are in good agreement with the results of several recent investigations. The time variability of retrieved values for aerosol layer height is consistent with the predictions of dust transport model.
Social Provisions of Real and Imaginary Relationships in Early Childhood.
ERIC Educational Resources Information Center
Gleason, Tracy R.
2002-01-01
This study compared perceptions of relationships with parents, best friends, siblings, and imaginary companions among 4-year-olds with invisible friends, object companions, or no imaginary companion. Findings indicated that parents afforded instrumental help, and siblings were associated with conflict. Real and imaginary friendship provisions were…
A Good Story: Children with Imaginary Companions Create Richer Narratives
ERIC Educational Resources Information Center
Trionfi, Gabriel; Reese, Elaine
2009-01-01
In line with theories that children's pretend play reflects and extends their narrative skills, children with imaginary companions were predicted to have better narrative skills than children without imaginary companions. Forty-eight 5 1/2-year-old children and their mothers participated in interviews about children's imaginary companions.…
The Role of Competence in Children's Creation of Imaginary Friends.
ERIC Educational Resources Information Center
Harter, Susan; Chao, Christine
1992-01-01
The function of children's imaginary friends was investigated from the perspective of perceived competence. Teachers judged children with imaginary friends to be less competent and socially accepted by peers than other children. Children's descriptions of themselves and their imaginary friends revealed significant gender differences in the types…
DOE Office of Scientific and Technical Information (OSTI.GOV)
Rodriguez, Alejandro; Ibanescu, Mihai; Joannopoulos, J. D.
2007-09-15
We describe a numerical method to compute Casimir forces in arbitrary geometries, for arbitrary dielectric and metallic materials, with arbitrary accuracy (given sufficient computational resources). Our approach, based on well-established integration of the mean stress tensor evaluated via the fluctuation-dissipation theorem, is designed to directly exploit fast methods developed for classical computational electromagnetism, since it only involves repeated evaluation of the Green's function for imaginary frequencies (equivalently, real frequencies in imaginary time). We develop the approach by systematically examining various formulations of Casimir forces from the previous decades and evaluating them according to their suitability for numerical computation. We illustratemore » our approach with a simple finite-difference frequency-domain implementation, test it for known geometries such as a cylinder and a plate, and apply it to new geometries. In particular, we show that a pistonlike geometry of two squares sliding between metal walls, in both two and three dimensions with both perfect and realistic metallic materials, exhibits a surprising nonmonotonic ''lateral'' force from the walls.« less
Sustainable Imaginaries: A Case Study of a Large Suburban Canadian University
ERIC Educational Resources Information Center
Vaughter, Philip; Alsop, Steve
2017-01-01
Purpose: This paper aims to explore the concept of sustainability imaginaries--unifying core assumptions on what sustainability entails held by stakeholders--set within a large suburban Canadian university. The study aims to expand the field of research into imaginaries by focusing on imaginaries within an institution as opposed to a societal or…
Imaginary Play in Montessori Classrooms: Considerations for a Position Statement
ERIC Educational Resources Information Center
Soundy, Cathleen S.
2012-01-01
Imaginary play activities are not only enjoyable in their own right, but also offer clear intellectual, social, and emotional benefits to children who participate in them. This article describes the nature of imaginary play as observed in some Montessori classrooms and lays the groundwork for developing a position statement on imaginary play for…
ERIC Educational Resources Information Center
Paananen, Maiju; Lipponen, Lasse; Kumpulainen, Kristiina
2015-01-01
Drawing on the analytic concept of imaginary, this study investigates policy hybridisation in the Finnish early childhood education. Specifically, it illuminates how the interplay between different imaginaries enabled the neoliberal imaginary to oust the social-democratic imaginary through a tripartite process in a case of local productivity…
Differentiability breaking and Schwarz theorem violation in an aging material
NASA Astrophysics Data System (ADS)
Doussineau, P.; Levelut, A. L.
2002-07-01
Dielectric constant measurements are performed in the frequency range from 1 kHz to 1 MHz on a disordered material with ferroelectric properties (KTa1-xNbxO3 crystals) after isothermal aging at the plateau temperature Tpl≅10 K. They show that the derivatives of the complex capacitance with respect to temperature and time present two very peculiar behaviors. The first point is that the first and second derivatives against temperature are not equal on the two sides of Tpl; this is differentiability breaking. The second point is that the two crossed second derivatives against temperature and time are not equal (indeed they have opposite signs); this is a violation of Schwarz theorem. These results are obtained on both the real part and the imaginary part of the capacitance. A model, initially imagined for aging and memory of aging, attributes the time-dependent properties to the evolution (growth and reconformations) of the polarization domain walls. It is shown that it can also explain the observed differentiability breaking (and in particular its logarithmic increase with the plateau duration tpl) and the violation of Schwarz theorem.
A different approach to multiplicity-edited heteronuclear single quantum correlation spectroscopy
NASA Astrophysics Data System (ADS)
Sakhaii, Peyman; Bermel, Wolfgang
2015-10-01
A new experiment for recording multiplicity-edited HSQC spectra is presented. In standard multiplicity-edited HSQC experiments, the amplitude of CH2 signals is negative compared to those of CH and CH3 groups. We propose to reverse the sign of 13C frequencies of CH2 groups in t1 as criteria for editing. Basically, a modified [BIRD]r,x element (Bilinear Rotation Pulses and Delays) is inserted in a standard HSQC pulse sequence with States-TPPI frequency detection in t1 for this purpose. The modified BIRD element was designed in such a way as to pass or stop the evolution of the heteronuclear 1JHC coupling. This is achieved by adding a 180° proton RF pulse in each of the 1/2J periods. Depending on their position the evolution is switched on or off. Usually, the BIRD- element is applied on real and imaginary increments of a HSQC experiment to achieve the editing between multiplicities. Here, we restrict the application of the modified BIRD element to either real or imaginary increments of the HSQC. With this new scheme for editing, changing the frequency and/or amplitude of the CH2 signals becomes available. Reversing the chemical shift axis for CH2 signals simplifies overcrowded frequency regions and thus avoids accidental signal cancellation in conventional edited HSQC experiments. The practical implementation is demonstrated on the protein Lysozyme. Advantages and limitations of the idea are discussed.
Quasiclassical analysis of Bloch oscillations in non-Hermitian tight-binding lattices
NASA Astrophysics Data System (ADS)
Graefe, E. M.; Korsch, H. J.; Rush, A.
2016-07-01
Many features of Bloch oscillations in one-dimensional quantum lattices with a static force can be described by quasiclassical considerations for example by means of the acceleration theorem, at least for Hermitian systems. Here the quasiclassical approach is extended to non-Hermitian lattices, which are of increasing interest. The analysis is based on a generalised non-Hermitian phase space dynamics developed recently. Applications to a single-band tight-binding system demonstrate that many features of the quantum dynamics can be understood from this classical description qualitatively and even quantitatively. Two non-Hermitian and PT-symmetric examples are studied, a Hatano-Nelson lattice with real coupling constants and a system with purely imaginary couplings, both for initially localised states in space or in momentum. It is shown that the time-evolution of the norm of the wave packet and the expectation values of position and momentum can be described in a classical picture.
Analytic continuation of quantum Monte Carlo data by stochastic analytical inference.
Fuchs, Sebastian; Pruschke, Thomas; Jarrell, Mark
2010-05-01
We present an algorithm for the analytic continuation of imaginary-time quantum Monte Carlo data which is strictly based on principles of Bayesian statistical inference. Within this framework we are able to obtain an explicit expression for the calculation of a weighted average over possible energy spectra, which can be evaluated by standard Monte Carlo simulations, yielding as by-product also the distribution function as function of the regularization parameter. Our algorithm thus avoids the usual ad hoc assumptions introduced in similar algorithms to fix the regularization parameter. We apply the algorithm to imaginary-time quantum Monte Carlo data and compare the resulting energy spectra with those from a standard maximum-entropy calculation.
Periodic orbit spectrum in terms of Ruelle-Pollicott resonances
NASA Astrophysics Data System (ADS)
Leboeuf, P.
2004-02-01
Fully chaotic Hamiltonian systems possess an infinite number of classical solutions which are periodic, e.g., a trajectory “p” returns to its initial conditions after some fixed time τp. Our aim is to investigate the spectrum {τ1,τ2,…} of periods of the periodic orbits. An explicit formula for the density ρ(τ)=∑pδ(τ-τp) is derived in terms of the eigenvalues of the classical evolution operator. The density is naturally decomposed into a smooth part plus an interferent sum over oscillatory terms. The frequencies of the oscillatory terms are given by the imaginary part of the complex eigenvalues (Ruelle-Pollicott resonances). For large periods, corrections to the well-known exponential growth of the smooth part of the density are obtained. An alternative formula for ρ(τ) in terms of the zeros and poles of the Ruelle ζ function is also discussed. The results are illustrated with the geodesic motion in billiards of constant negative curvature. Connections with the statistical properties of the corresponding quantum eigenvalues, random-matrix theory, and discrete maps are also considered. In particular, a random-matrix conjecture is proposed for the eigenvalues of the classical evolution operator of chaotic billiards.
NASA Astrophysics Data System (ADS)
Sahay, Peeyush; Almabadi, Huda M.; Pradhan, Prabhakar
Real delay time (τr) provides a measure of the time spent by photons inside an optical system. The measurement of τr is conducted in terms of energy (E) derivative of the Wigner phase delay (φ) , as τr = dϕ / dE dϕ / cdk k and c represents wavenumber and the speed of light, respectively. The characterization of τr requires interferometric system to measure φ of the light waves scattering from the medium [ R =√{ r} exp (- iϕ) ]. We investigated the possibility of extracting the τr information from the intensity measurement of the backscattered waves. The study was performed on a 1D model of weak disordered optical system and short sample length by numerically evaluating the backscattered light intensity. An imaginary delay time (τi) , defined as τi = dθ / cdk , where θ represents an `imaginary phase', was obtained upon expressing the backscattered intensity as RR* =| R | 2 = r = exp (- θ) . The result shows a strong correlation between r and φ with τr and τi exhibiting similar statistical distribution but with a shift. The magnitude and variation of the mean and std values of τr, and the std values of τi with sample lengths are nearly the same, which indicates about one parameter theory of delay time. This work potentially paves way for extracting phase information from the intensity distribution without using interferometric systems.
Imaginary Companions: Pretending They Are Real but Knowing They Are Not
ERIC Educational Resources Information Center
Taylor, Marjorie; Mottweiler, Candice M.
2008-01-01
Parents and child specialists are o?ften concerned about the role imaginary companions play in children's lives. Recent research shows that the creation of an imaginary companion is a common and healthy type of pretend play. There are many di?fferent kinds of imaginary companions, including those based on various types of props as well those that…
Diffraction and quantum control of wave functions in nonresonant two-photon absorption
NASA Astrophysics Data System (ADS)
Li, Baihong; Pang, Huafeng; Wang, Doudou; Zhang, Tao; Dong, Ruifang; Li, Yongfang
2018-03-01
In this study, the nonresonant two-photon absorption process in a two-level atom, induced by a weak chirped pulse, is theoretically investigated in the frequency domain. An analytical expression of the wave function expressed by Fresnel functions is obtained, and the two-photon transition probability (TPTP) versus the integral bandwidth, spectral width, and chirp parameter is analyzed. The results indicate that the oscillation evolution of the TPTP result from quantum diffraction of the wave function, which can be explained by analogy with Fresnel diffraction from a wide slit in the spatial domain. Moreover, the ratio between the real and imaginary parts of the excited state wave function and, hence, the atomic polarization, can be controlled by the initial phase of the excitation pulse. In some special initial phase of the excitation pulse, the wave functions with purely real or imaginary parts can be obtained by measuring the population probability. This work provides a novel perspective for understanding the physical details of the interactions between atoms and chirped light pulses in the multiphoton process.
Complex heavy-quark potential at finite temperature from lattice QCD.
Rothkopf, Alexander; Hatsuda, Tetsuo; Sasaki, Shoichi
2012-04-20
We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance r is obtained from the spectral function of the thermal Wilson loop. We confirm the existence of an imaginary part above the critical temperature T(C), which grows as a function of r and underscores the importance of collisions with the gluonic environment for the melting of heavy quarkonia in the quark-gluon plasma.
Black Hole Scrambling from Hydrodynamics.
Grozdanov, Sašo; Schalm, Koenraad; Scopelliti, Vincenzo
2018-06-08
We argue that the gravitational shock wave computation used to extract the scrambling rate in strongly coupled quantum theories with a holographic dual is directly related to probing the system's hydrodynamic sound modes. The information recovered from the shock wave can be reconstructed in terms of purely diffusionlike, linearized gravitational waves at the horizon of a single-sided black hole with specific regularity-enforced imaginary values of frequency and momentum. In two-derivative bulk theories, this horizon "diffusion" can be related to late-time momentum diffusion via a simple relation, which ceases to hold in higher-derivative theories. We then show that the same values of imaginary frequency and momentum follow from a dispersion relation of a hydrodynamic sound mode. The frequency, momentum, and group velocity give the holographic Lyapunov exponent and the butterfly velocity. Moreover, at this special point along the sound dispersion relation curve, the residue of the retarded longitudinal stress-energy tensor two-point function vanishes. This establishes a direct link between a hydrodynamic sound mode at an analytically continued, imaginary momentum and the holographic butterfly effect. Furthermore, our results imply that infinitely strongly coupled, large-N_{c} holographic theories exhibit properties similar to classical dilute gases; there, late-time equilibration and early-time scrambling are also controlled by the same dynamics.
Black Hole Scrambling from Hydrodynamics
NASA Astrophysics Data System (ADS)
Grozdanov, Sašo; Schalm, Koenraad; Scopelliti, Vincenzo
2018-06-01
We argue that the gravitational shock wave computation used to extract the scrambling rate in strongly coupled quantum theories with a holographic dual is directly related to probing the system's hydrodynamic sound modes. The information recovered from the shock wave can be reconstructed in terms of purely diffusionlike, linearized gravitational waves at the horizon of a single-sided black hole with specific regularity-enforced imaginary values of frequency and momentum. In two-derivative bulk theories, this horizon "diffusion" can be related to late-time momentum diffusion via a simple relation, which ceases to hold in higher-derivative theories. We then show that the same values of imaginary frequency and momentum follow from a dispersion relation of a hydrodynamic sound mode. The frequency, momentum, and group velocity give the holographic Lyapunov exponent and the butterfly velocity. Moreover, at this special point along the sound dispersion relation curve, the residue of the retarded longitudinal stress-energy tensor two-point function vanishes. This establishes a direct link between a hydrodynamic sound mode at an analytically continued, imaginary momentum and the holographic butterfly effect. Furthermore, our results imply that infinitely strongly coupled, large-Nc holographic theories exhibit properties similar to classical dilute gases; there, late-time equilibration and early-time scrambling are also controlled by the same dynamics.
NASA Astrophysics Data System (ADS)
Aldiss, Brian W.
2001-02-01
Belief that intelligent life is commonplace in the Universe was taken for granted by scholars and scientists until well into the nineteenth century. Space travel since the late 1950s reignited the debate, which even now attracts discussion by serious, professional scientists. And although statisticians might lobby that life must surely exist somewhere in the Universe, the evolution of what we perceive as 'intelligent life' seems utterly improbable - elsewhere as well as on Earth. Can we free ourselves of our animist fantasies and accept that all alien forms of intelligent life are, and always have been, imaginary?
The everyday lives of energy transitions: Contested sociotechnical imaginaries in the American West.
Smith, Jessica M; Tidwell, Abraham Sd
2016-06-01
This article brings together two growing literatures - on sociotechnical imaginaries in science and technology studies and on resource materialities in anthropology - to explore how two energy-producing communities in the American West understand the moral salience of energy systems and the place of labor within them. Studies of energy sociotechnical imaginaries overwhelmingly focus on the role that state and transnational actors play in shaping perceptions of the 'good society', rather than how these imaginaries inform and are transformed in the lived experience of everyday people. We illuminate the contested dimension of sociotechnical imaginaries and their positioning within structures of power that inform visions of moral behavior and social order. Whereas the role of energy in national imaginaries is grounded almost entirely in the consumption it enables, examining the everyday ethics of people who live and work in Colorado's uranium-rich Western Slope and Wyoming's coal-rich Powder River Basin reveals an insistence that 'good' energy systems also provide opportunities for dignified and well-paid blue-collar work. This imaginary, we argue, remains 'bounded' at a local scale rather than circulating more widely to gain national or international traction. Theorizing this boundedness illustrates not only the contested nature of sociotechnical imaginaries, but also the constraints that material assemblages and sediments of the past place on imagined futures.
Theoretical assumptions of Maffesoli's sensitivity and Problem-Based Learning in Nursing Education1
Rodríguez-Borrego, María-Aurora; Nitschke, Rosane Gonçalves; do Prado, Marta Lenise; Martini, Jussara Gue; Guerra-Martín, María-Dolores; González-Galán, Carmen
2014-01-01
Objective understand the everyday and the imaginary of Nursing students in their knowledge socialization process through the Problem-Based Learning (PBL) strategy. Method Action Research, involving 86 students from the second year of an undergraduate Nursing program in Spain. A Critical Incident Questionnaire and Group interview were used. Thematic/categorical analysis, triangulation of researchers, subjects and techniques. Results the students signal the need to have a view from within, reinforcing the criticism against the schematic dualism; PBL allows one to learn how to be with the other, with his mechanical and organic solidarity; the feeling together, with its emphasis on learning to work in group and wanting to be close to the person taking care. Conclusions The great contradictions the protagonists of the process, that is, the students experience seem to express that group learning is not a form of gaining knowledge, as it makes them lose time to study. The daily, the execution time and the imaginary of how learning should be do not seem to have an intersection point in the use of Problem-Based Learning. The importance of focusing on the daily and the imaginary should be reinforced when we consider nursing education. PMID:25029064
An extension of stochastic hierarchy equations of motion for the equilibrium correlation functions
NASA Astrophysics Data System (ADS)
Ke, Yaling; Zhao, Yi
2017-06-01
A traditional stochastic hierarchy equations of motion method is extended into the correlated real-time and imaginary-time propagations, in this paper, for its applications in calculating the equilibrium correlation functions. The central idea is based on a combined employment of stochastic unravelling and hierarchical techniques for the temperature-dependent and temperature-free parts of the influence functional, respectively, in the path integral formalism of the open quantum systems coupled to a harmonic bath. The feasibility and validity of the proposed method are justified in the emission spectra of homodimer compared to those obtained through the deterministic hierarchy equations of motion. Besides, it is interesting to find that the complex noises generated from a small portion of real-time and imaginary-time cross terms can be safely dropped to produce the stable and accurate position and flux correlation functions in a broad parameter regime.
Parity-Time Symmetry Breaking in Spin Chains.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Galda, Alexey; Vinokur, Valerii M.
We investigate nonequilibrium phase transitions in classical Heisenberg spin chains associated with spontaneous breaking of parity-time (PT) symmetry of the system under the action of Slonczewski spin-transfer torque (STT) modeled by an applied imaginary magnetic field. We reveal the STT-driven PT symmetry-breaking phase transition between the regimes of precessional and exponentially damped spin dynamics and show that its several properties can be derived from the distribution of zeros of the system's partition function, the approach first introduced by Yang and Lee for studying equilibrium phase transitions in Ising spin chains. The physical interpretation of imaginary magnetic field as describing themore » action of nonconservative forces opens the possibility of direct observations of Lee-Yang zeros in nonequilibrium physical systems.« less
Parity-time symmetry breaking in spin chains
NASA Astrophysics Data System (ADS)
Galda, Alexey; Vinokur, Valerii M.
2018-05-01
We investigate nonequilibrium phase transitions in classical Heisenberg spin chains associated with spontaneous breaking of parity-time (PT ) symmetry of the system under the action of Slonczewski spin-transfer torque (STT) modeled by an applied imaginary magnetic field. We reveal the STT-driven PT symmetry-breaking phase transition between the regimes of precessional and exponentially damped spin dynamics and show that its several properties can be derived from the distribution of zeros of the system's partition function, the approach first introduced by Yang and Lee for studying equilibrium phase transitions in Ising spin chains. The physical interpretation of imaginary magnetic field as describing the action of nonconservative forces opens the possibility of direct observations of Lee-Yang zeros in nonequilibrium physical systems.
2012-03-09
equation is a product of a complex basis vector in Jackson and a linear combination of plane wave functions. We convert both the amplitudes and the...wave function arguments from complex scalars to complex vectors . This conversion allows us to separate the electric field vector and the imaginary...magnetic field vector , because exponentials of imaginary scalars convert vectors to imaginary vectors and vice versa, while ex- ponentials of imaginary
Revisiting special relativity: a natural algebraic alternative to Minkowski spacetime.
Chappell, James M; Iqbal, Azhar; Iannella, Nicolangelo; Abbott, Derek
2012-01-01
Minkowski famously introduced the concept of a space-time continuum in 1908, merging the three dimensions of space with an imaginary time dimension [Formula: see text], with the unit imaginary producing the correct spacetime distance [Formula: see text], and the results of Einstein's then recently developed theory of special relativity, thus providing an explanation for Einstein's theory in terms of the structure of space and time. As an alternative to a planar Minkowski space-time of two space dimensions and one time dimension, we replace the unit imaginary [Formula: see text], with the Clifford bivector [Formula: see text] for the plane that also squares to minus one, but which can be included without the addition of an extra dimension, as it is an integral part of the real Cartesian plane with the orthonormal basis [Formula: see text] and [Formula: see text]. We find that with this model of planar spacetime, using a two-dimensional Clifford multivector, the spacetime metric and the Lorentz transformations follow immediately as properties of the algebra. This also leads to momentum and energy being represented as components of a multivector and we give a new efficient derivation of Compton's scattering formula, and a simple formulation of Dirac's and Maxwell's equations. Based on the mathematical structure of the multivector, we produce a semi-classical model of massive particles, which can then be viewed as the origin of the Minkowski spacetime structure and thus a deeper explanation for relativistic effects. We also find a new perspective on the nature of time, which is now given a precise mathematical definition as the bivector of the plane.
Revisiting Special Relativity: A Natural Algebraic Alternative to Minkowski Spacetime
Chappell, James M.; Iqbal, Azhar; Iannella, Nicolangelo; Abbott, Derek
2012-01-01
Minkowski famously introduced the concept of a space-time continuum in 1908, merging the three dimensions of space with an imaginary time dimension , with the unit imaginary producing the correct spacetime distance , and the results of Einstein’s then recently developed theory of special relativity, thus providing an explanation for Einstein’s theory in terms of the structure of space and time. As an alternative to a planar Minkowski space-time of two space dimensions and one time dimension, we replace the unit imaginary , with the Clifford bivector for the plane that also squares to minus one, but which can be included without the addition of an extra dimension, as it is an integral part of the real Cartesian plane with the orthonormal basis and . We find that with this model of planar spacetime, using a two-dimensional Clifford multivector, the spacetime metric and the Lorentz transformations follow immediately as properties of the algebra. This also leads to momentum and energy being represented as components of a multivector and we give a new efficient derivation of Compton’s scattering formula, and a simple formulation of Dirac’s and Maxwell’s equations. Based on the mathematical structure of the multivector, we produce a semi-classical model of massive particles, which can then be viewed as the origin of the Minkowski spacetime structure and thus a deeper explanation for relativistic effects. We also find a new perspective on the nature of time, which is now given a precise mathematical definition as the bivector of the plane. PMID:23300566
Chinese children's imaginary companions: Relations with peer relationships and social competence.
Lin, Qiyi; Fu, Hong; Wan, Yingjia; Zhou, Nan; Xu, Hui
2016-09-25
We investigated relationships between Chinese children's imaginary companions (ICs) and peer relationships and social competence in 160 children, aged 5-6 years old. Children and their mothers participated in the interviews regarding the details of the children's ICs, including the type of the companion and the quality of the child-IC relationship. Peer relationships were assessed using sociometric nomination and perceived popularity nomination. Teachers rated children's social competence. Here, 55 children (34.3%) were deemed to have engaged in imaginary companion play. There was no relationship between imaginary companion types and child-IC relationship qualities. Children with invisible friends received more positive nominations than children with personified objects. Children with egalitarian relationships received more positive nominations and popularity nominations, but fewer negative nominations and unpopularity nominations than children with hierarchical relationships. Compared with children with hierarchical relationships, teachers rated the children with egalitarian relationships higher in social competence. The results suggest that imaginary companion types and relationship qualities may represent different dimensions of imaginary companions, calling attentions to the different mechanisms underlying imaginary companion types and relationship qualities with respect to social functioning. © 2016 International Union of Psychological Science.
Frequency domain kinetic of positron-electron annihilation in the MgO-Al2O3 spinel-type ceramics
NASA Astrophysics Data System (ADS)
Fl'unt, Orest; Klym, Halyna; Ingram, Adam
2018-03-01
In this work, the kinetic of positron-electron annihilation in the MgO-Al2O3 spinel-type ceramics sintered at different temperatures (1100, 1200 and 1400 °C) has been calculated and analyzed in a frequency domain. The spectra of real (in-phase) and imaginary (quadrature) components of positron-electron annihilation kinetic have been obtained numerically from usual temporal characteristics using integral Fourier transform. The numerical calculations were carried out using cubic spline interpolation of the pulse characteristics of MgO-Al2O3 ceramics in time domain with following analytical calculations of integrals. The obtained spectra as real so imaginary part of MgO-Al2O3 ceramics in frequency domain almost good obey a Debye law denying correlation between elementary positron annihilation processes. Complex diagrams of frequency domain responses of as-prepared samples have a shape of semicircles with close characteristic frequencies. Some deviation on low-frequency side of the semicircles is observed confirming an availability of longer time kinetic processes. Sintering temperature dependencies of the relaxation times and characteristic frequencies of positron-electron annihilation processes have been obtained. It is shown that position of large maxima on the frequency dependencies of imaginary part corresponds to fast average relaxation lifetime representing the most intensive interaction process of positrons with small cavity traps in solids.
ERIC Educational Resources Information Center
Anolik, Steven A.
1981-01-01
Application of the concept of the imaginary audience to adolescents labeled as juvenile delinquents was attempted. Results showed that delinquents expressed greater concern about the imaginary audience and had more negative perceptions of their fathers than did nondelinquent males. (Author/GK)
Probing coherence aspects of adiabatic quantum computation and control.
Goswami, Debabrata
2007-09-28
Quantum interference between multiple excitation pathways can be used to cancel the couplings to the unwanted, nonradiative channels resulting in robustly controlling decoherence through adiabatic coherent control approaches. We propose a useful quantification of the two-level character in a multilevel system by considering the evolution of the coherent character in the quantum system as represented by the off-diagonal density matrix elements, which switches from real to imaginary as the excitation process changes from being resonant to completely adiabatic. Such counterintuitive results can be explained in terms of continuous population exchange in comparison to no population exchange under the adiabatic condition.
Investigating Valence and Autonomy in Children's Relationships with Imaginary Companions
ERIC Educational Resources Information Center
McInnis, Melissa A.; Pierucci, Jillian M.; Gilpin, Ansley Tullos
2013-01-01
Little research has explored valence and autonomy in children's imaginary relationships. In the present study, a new interview (modeled after an existing measure for real relationships) was designed to elicit descriptions of both positive and negative interactions with imaginary companions and to provide a measure of relationship valence and…
Co-Creating Nano-Imaginaries: Report of a Delphi-Exercise
ERIC Educational Resources Information Center
Deblonde, Marian; Van Oudheusden, Michiel; Evers, Johan; Goorden, Lieve
2008-01-01
In the first phase of the research project Nanotechnologies for Tomorrow's Society (www.nanosoc.be), the research consortium explored a variety of futuristic visions or technoscientific imaginaries. This exploration took the form of a Policy Delphi, adapted to the particular objective of jointly constructing nano-imaginaries, taking participants'…
Computer-Based Imaginary Sciences and Research on Concept Acquisition.
ERIC Educational Resources Information Center
Allen, Brockenbrough S.
To control for interactions in learning research due to subjects' prior knowledge of the instructional material presented, an imaginary curriculum was presented with a computer assisted technique based on Carl Berieter's imaginary science of Xenograde systems. The curriculum consisted of a classification system for ten conceptual classes of…
Derivation of a generalized Schrödinger equation from the theory of scale relativity
NASA Astrophysics Data System (ADS)
Chavanis, Pierre-Henri
2017-06-01
Using Nottale's theory of scale relativity relying on a fractal space-time, we derive a generalized Schrödinger equation taking into account the interaction of the system with the external environment. This equation describes the irreversible evolution of the system towards a static quantum state. We first interpret the scale-covariant equation of dynamics stemming from Nottale's theory as a hydrodynamic viscous Burgers equation for a potential flow involving a complex velocity field and an imaginary viscosity. We show that the Schrödinger equation can be directly obtained from this equation by performing a Cole-Hopf transformation equivalent to the WKB transformation. We then introduce a friction force proportional and opposite to the complex velocity in the scale-covariant equation of dynamics in a way that preserves the local conservation of the normalization condition. We find that the resulting generalized Schrödinger equation, or the corresponding fluid equations obtained from the Madelung transformation, involve not only a damping term but also an effective thermal term. The friction coefficient and the temperature are related to the real and imaginary parts of the complex friction coefficient in the scale-covariant equation of dynamics. This may be viewed as a form of fluctuation-dissipation theorem. We show that our generalized Schrödinger equation satisfies an H-theorem for the quantum Boltzmann free energy. As a result, the probability distribution relaxes towards an equilibrium state which can be viewed as a Boltzmann distribution including a quantum potential. We propose to apply this generalized Schrödinger equation to dark matter halos in the Universe, possibly made of self-gravitating Bose-Einstein condensates.
Aborigines of the Imaginary: Applying Lacan to Aboriginal Education
ERIC Educational Resources Information Center
Harrison, Neil
2012-01-01
This paper applies the work of Jacques Lacan, a French psychoanalyst, to decipher the desire of the teacher in Aboriginal education. It argues that the images of Aboriginal people represented in Australian classrooms are effects of the teacher's Imaginary, the Imaginary being one of the three psychoanalytic domains theorised by Lacan over a period…
Imaginary Play Companion: Annotated Abstract Bibliography. Project No. 93-12.
ERIC Educational Resources Information Center
Kalyan-Masih, Violet; Adams, Janis
This bibliography offers an historical perspective on imaginary play companions with 48 entries dating from 1891 to 1975. Entries, which include journal articles, monographs, and books, draw heavily from child development literature. A list of 10 titles from general literature related to the subject of imaginary companions is also included. The…
Auxiliary-field-based trial wave functions in quantum Monte Carlo calculations
DOE Office of Scientific and Technical Information (OSTI.GOV)
Chang, Chia -Chen; Rubenstein, Brenda M.; Morales, Miguel A.
2016-12-19
Quantum Monte Carlo (QMC) algorithms have long relied on Jastrow factors to incorporate dynamic correlation into trial wave functions. While Jastrow-type wave functions have been widely employed in real-space algorithms, they have seen limited use in second-quantized QMC methods, particularly in projection methods that involve a stochastic evolution of the wave function in imaginary time. Here we propose a scheme for generating Jastrow-type correlated trial wave functions for auxiliary-field QMC methods. The method is based on decoupling the two-body Jastrow into one-body projectors coupled to auxiliary fields, which then operate on a single determinant to produce a multideterminant trial wavemore » function. We demonstrate that intelligent sampling of the most significant determinants in this expansion can produce compact trial wave functions that reduce errors in the calculated energies. Lastly, our technique may be readily generalized to accommodate a wide range of two-body Jastrow factors and applied to a variety of model and chemical systems.« less
Statistics of resonances for a class of billiards on the Poincaré half-plane
NASA Astrophysics Data System (ADS)
Howard, P. J.; Mota-Furtado, F.; O'Mahony, P. F.; Uski, V.
2005-12-01
The lower boundary of Artin's billiard on the Poincaré half-plane is continuously deformed to generate a class of billiards with classical dynamics varying from fully integrable to completely chaotic. The quantum scattering problem in these open billiards is described and the statistics of both real and imaginary parts of the resonant momenta are investigated. The evolution of the resonance positions is followed as the boundary is varied which leads to large changes in their distribution. The transition to arithmetic chaos in Artin's billiard, which is responsible for the Poissonian level-spacing statistics of the bound states in the continuum (cusp forms) at the same time as the formation of a set of resonances all with width \\frac{1}{4} and real parts determined by the zeros of Riemann's zeta function, is closely examined. Regimes are found which obey the universal predictions of random matrix theory (RMT) as well as exhibiting non-universal long-range correlations. The Brody parameter is used to describe the transitions between different regimes.
[The Rorschach's test for heroin addicts treated by methadone: from reality to imaginary].
Deslandes, C; Gourarier, L; Sanchez, M; Lowenstein, W
2000-10-01
The aim of this study was to analyze the role of the imaginary and its link with reality among 30 subjects treated by methadone. The Rorschach test was proposed to 30 heroin addicts treated by methadone, over an average 7 months. The formal answers (used preferentially in the 30 results, though often inappropriately) and socializing landmarks involving considerable individual investment, we were able to identify two ways of working within the same protocol. The first relies most on conformity and adaptation and tries to put the imaginary aside. The second is a more projective, unorganized approach evidencing the influence of the imaginary. This specific imaginary activity could not be assimilated with the traditional "lack of fantasy" observed in heroin addicts. It would be interesting to examine the course of this approach over a longer period.
ERIC Educational Resources Information Center
Fernyhough, Charles; Bland, Kirsten; Meins, Elizabeth; Coltheart, Max
2007-01-01
Background: Previous research has reported a link between imaginary companions (ICs) in middle childhood and the perception of verbal material in ambiguous auditory stimuli. These findings have been interpreted in terms of commonalities in the cognitive processes underlying children's engagement with ICs and adults' reporting of imaginary verbal…
Gauthier, J-M; Widart, F
2008-09-01
Our investigation into dream and delirium in schizophrenic subjects was based on the notion of magical thought developed by Sami-Ali. Starting from this notion, we attempted to determine whether they somehow differentiate the psychic space of dream from that of delirium, whether either of these two spaces, or both, are caught in a relational deadlock, and eventually to analyse the quality of the relationship to others. The underlying assumption is that magical thought is foregrounded in the psychic life of schizophrenic subjects, and that these subjects do not distinguish between the psychic spaces of dream and delirium, nor between the world, others, and themselves. Results show first that the prevalence of magical thought has the following consequences: (a) features characterizing space are those of an imaginary space, i.e. internal and external realities are blurred, what is outside is reflected inside, and vice versa, the subject-object distinction is cancelled to leave one single reality that ignores contradiction; (b) the time of discourse is an imaginary time: their discourses express past and future as belonging to an absolute "perpetual" present. Events they mention are experienced as contemporary. Causal relations, being imaginary, can be reversed. However, some socially sanctioned landmarks in time are often maintained. These are rarely related to any event in their own emotional lives. Second, our results provide evidence for some permeability between the space of dream and the space of delirium. Yet, this permeability can vary from one subject to another. Third, they show that relational deadlocks recur regularly, though not systematically, in the lives of our subjects. Relational deadlocks in dreams are not easy to detect. Finally, the kind of relationship those people have to others is quite paradoxical: physical closeness results in emotional distance, and conversely emotional closeness is only possible in physical distance. The others cannot really exist in the relationship; they are a horizon towards which those people yearn without ever being able to reach it. This kind of paradox, of relational deadlock, may be the ground on which psychosis thrives: it is impossible to be close to the nonself, while it is also deeply wished for. Even the logic of imaginary space - in which everything should be possible - cannot help overcome this paradox. And - a paradox within the paradox - this logic still comes upon a deadline in the potentially infinite and indefinite space it produces. This boundary could be the deadlock that cannot and yet must be overcome, a deadlock that would endlessly fuel the patients' delirium.
Quantum action for time-dependent Ginzburg-Landau equations
NASA Astrophysics Data System (ADS)
Thompson, R. S.
1994-02-01
A gauge-invariant formula is derived for the quantum action of a dirty superconductor with strong pair breaking. The major complication is the coupling between the order parameter and the electro-chemical potential, which is most simply expressed as an imaginary time integral. The perturbative modes of excitation are identified.
Longitudinal Outcomes of Young High-Risk Adolescents with Imaginary Companions
ERIC Educational Resources Information Center
Taylor, Marjorie; Hulette, Annmarie C.; Dishion, Thomas J.
2010-01-01
The creation and cultivation of an imaginary companion is considered to be a healthy form of pretend play in early childhood, but there tends to be a less positive view of older children who have them. To test the extent that having an imaginary companion in middle school is associated with positive or negative outcomes, an ethnically diverse…
Lapborisuth, Pawan; Zhang, Xian; Noah, Adam; Hirsch, Joy
2017-01-01
Abstract. Neurofeedback is a method for using neural activity displayed on a computer to regulate one’s own brain function and has been shown to be a promising technique for training individuals to interact with brain–machine interface applications such as neuroprosthetic limbs. The goal of this study was to develop a user-friendly functional near-infrared spectroscopy (fNIRS)-based neurofeedback system to upregulate neural activity associated with motor imagery, which is frequently used in neuroprosthetic applications. We hypothesized that fNIRS neurofeedback would enhance activity in motor cortex during a motor imagery task. Twenty-two participants performed active and imaginary right-handed squeezing movements using an elastic ball while wearing a 98-channel fNIRS device. Neurofeedback traces representing localized cortical hemodynamic responses were graphically presented to participants in real time. Participants were instructed to observe this graphical representation and use the information to increase signal amplitude. Neural activity was compared during active and imaginary squeezing with and without neurofeedback. Active squeezing resulted in activity localized to the left premotor and supplementary motor cortex, and activity in the motor cortex was found to be modulated by neurofeedback. Activity in the motor cortex was also shown in the imaginary squeezing condition only in the presence of neurofeedback. These findings demonstrate that real-time fNIRS neurofeedback is a viable platform for brain–machine interface applications. PMID:28680906
Lapborisuth, Pawan; Zhang, Xian; Noah, Adam; Hirsch, Joy
2017-04-01
Neurofeedback is a method for using neural activity displayed on a computer to regulate one's own brain function and has been shown to be a promising technique for training individuals to interact with brain-machine interface applications such as neuroprosthetic limbs. The goal of this study was to develop a user-friendly functional near-infrared spectroscopy (fNIRS)-based neurofeedback system to upregulate neural activity associated with motor imagery, which is frequently used in neuroprosthetic applications. We hypothesized that fNIRS neurofeedback would enhance activity in motor cortex during a motor imagery task. Twenty-two participants performed active and imaginary right-handed squeezing movements using an elastic ball while wearing a 98-channel fNIRS device. Neurofeedback traces representing localized cortical hemodynamic responses were graphically presented to participants in real time. Participants were instructed to observe this graphical representation and use the information to increase signal amplitude. Neural activity was compared during active and imaginary squeezing with and without neurofeedback. Active squeezing resulted in activity localized to the left premotor and supplementary motor cortex, and activity in the motor cortex was found to be modulated by neurofeedback. Activity in the motor cortex was also shown in the imaginary squeezing condition only in the presence of neurofeedback. These findings demonstrate that real-time fNIRS neurofeedback is a viable platform for brain-machine interface applications.
The Berry phase and the phase of the determinant
DOE Office of Scientific and Technical Information (OSTI.GOV)
Braverman, Maxim
2014-04-15
We show that under very general assumptions the adiabatic approximation of the phase of the zeta-regularized determinant of the imaginary-time Schrödinger operator with periodic Hamiltonian is equal to the Berry phase.
Impedance characteristics of nanoparticle-LiCoO{sub 2}+PVDF
DOE Office of Scientific and Technical Information (OSTI.GOV)
Panjaitan, Elman, E-mail: elmanp@batan.go.id; Kartini, Evvy, E-mail: kartini@batan.go.id; Honggowiranto, Wagiyo
2016-02-08
The impendance of np-LiCoO{sub 2}+xPVDF, as a cathode material candidate for lithium-ion battery (LIB), has been characterized using impedance spectroscopy for x = 0, 5, 10, 15 and 20 volume percentage (%v/v) and for frequencies in the 42 Hz to 5 MHz range. Both real and imaginary components of the impedance were found to be frequency dependent, and both tend to increase for increasing PVDF (polyvinyilidene fluoride) concentration, except that for 10% PVDF both real and imaginary components of impedance are smaller than for 5%. The mechanism for relaxation time for each addition of PVDF was analyzed using Cole-Cole plots. The analysismore » showed that the relaxation times of the nanostructured LiCoO{sub 2} with PVDF additive is relatively constant. Further, PVDF addition increases the bulk resistance and decreases the bulk capacitance of the nanostructured LiCoO{sub 2}.« less
NASA Astrophysics Data System (ADS)
Rosier, C. L.; Atekwana, E. A.; Price, A.; Sharma, S.; Patrauchan, M.
2015-12-01
Microbial biomass accumulation in subsurface sediments dynamically alters porosity/permeability; factors critical to contaminant transport and management of bioremediation efforts. Current methodologies (i.e. plate counts, tracer/slug tests) offer some understanding of biofilm effect on subsurface hydrology, yet do not provide real-time information regarding biofilm development. Due to these limitations there is interest in assessing the near surface geophysical technique Spectral Induced Polarization (SIP), to measure biofilm formation. Our study assesses the influence of cell density and biofilm production on SIP response. Laboratory experiments monitored changes in SIP, measured colony forming units (CFU), and cellular protein levels on sand packed columns inoculated with either Pseudomonas aeruginosa PAO1 (non-mucoid strain) or Pseudomonas aeruginosa FRD1 (biofilm-overproducing mucoid strain) cells over one month. Confocal laser scanning microscopy (CLSM) and scanning electron microscopy (SEM) were used to confirm the presence of biofilm. Our results indicate that phase and imaginary conductivity remained stable in PAO1 treatments as cell densities and cellular protein levels remained low (1.7x105 CFUml-1; 111 μg ml-1). However, we observed a significant decrease in both phase (0.5 to -0.20 mrad) and imaginary conductivity (0.0 to -3.0x10-5 S m-1) when both cell densities and cellular protein levels increased. In FRD1 treatments we observed an immediate decrease in phase (0.1 mrad) and imaginary conductivity (-2.0x10-6 S m-1) as cell densities were an order of magnitude greater then PAO1 treatments and cellular protein levels surpassed 500 μg ml-1. CLSM and SEM analysis confirmed the presence of biofilm and cells within both PAO1 and FRD1 treatments. Our findings suggest that the ratio of cells to cellular protein production is an important factor influencing both phase and imaginary conductivity response. However, our results are not in agreement with previous studies suggesting large phase shift (~50 mrads) and imaginary conductivity (5.5 S m-1) values due to biofilm development. We hypothesize that large phase shift and imaginary conductivity response are due to trapping of conductive materials within the biofilm matrix, studies are currently underway to address this hypothesis.
NASA Astrophysics Data System (ADS)
Roemer, Thomas
Modern technical education in British Columbia has been affected by two societal trends: in industry, engineering technology evolved as a discipline to bridge the increasing chasm between the process-oriented skill sets of tradespersons/technicians, and the declarative knowledge focus of engineering; in education, the provincial college and institute system was created to address the need for a new post-secondary credential situated between trades certificates and university degrees. The Applied Science Technologist arguably forms the intersection of these two concepts. Almost forty years after its inception, it is timely to ask if the original model has matured into a distinct occupational category in industry, education, and in the public mind. The thesis proposes three environments, the Formative, Market and Public Domain, respectively. Interviews, surveys and personal experience afforded insights into the dynamics of these domains with respect to a fledgling occupational category, while the socio-philosophical concepts of culture, habitus and social imaginary provide the tools to interpret the findings. The thesis postulates that an emerging occupational category will not only challenge existing cultures and habitus, but that over time it will influence the imaginaries of each domain and society as a whole. Ultimately, the occupational category will be truly successful only when the general public is able to distinguish it from related disciplines. Charles Taylor's writings on multiculturalism are used to discuss identity and recognition of the Applied Science Technologist in each domain while Pierre Bourdieu's perspectives on the existence of habitus and self-proliferating elites form the framework to examine the relationships between technologists and engineers. Taylor's theory of multiple concurrent social imaginaries guides the comparison of divergent expectations among academic, career and vocational instructors at British Columbia's colleges. The thesis concludes with recommendations for the sustainability of the Applied Science Technologist as distinct occupational category. Keywords. engineering technology; community college; diploma; recognition; identity; social imaginaries
Mertens, Franz G.; Cooper, Fred; Arevalo, Edward; ...
2016-09-15
Here in this paper, we discuss the behavior of solitary wave solutions of the nonlinear Schrödinger equation (NLSE) as they interact with complex potentials, using a four-parameter variational approximation based on a dissipation functional formulation of the dynamics. We concentrate on spatially periodic potentials with the periods of the real and imaginary part being either the same or different. Our results for the time evolution of the collective coordinates of our variational ansatz are in good agreement with direct numerical simulation of the NLSE. We compare our method with a collective coordinate approach of Kominis and give examples where themore » two methods give qualitatively different answers. In our variational approach, we are able to give analytic results for the small oscillation frequency of the solitary wave oscillating parameters which agree with the numerical solution of the collective coordinate equations. We also verify that instabilities set in when the slope dp(t)/dv(t) becomes negative when plotted parametrically as a function of time, where p(t) is the momentum of the solitary wave and v(t) the velocity.« less
DOE Office of Scientific and Technical Information (OSTI.GOV)
Mertens, Franz G.; Cooper, Fred; Arevalo, Edward
Here in this paper, we discuss the behavior of solitary wave solutions of the nonlinear Schrödinger equation (NLSE) as they interact with complex potentials, using a four-parameter variational approximation based on a dissipation functional formulation of the dynamics. We concentrate on spatially periodic potentials with the periods of the real and imaginary part being either the same or different. Our results for the time evolution of the collective coordinates of our variational ansatz are in good agreement with direct numerical simulation of the NLSE. We compare our method with a collective coordinate approach of Kominis and give examples where themore » two methods give qualitatively different answers. In our variational approach, we are able to give analytic results for the small oscillation frequency of the solitary wave oscillating parameters which agree with the numerical solution of the collective coordinate equations. We also verify that instabilities set in when the slope dp(t)/dv(t) becomes negative when plotted parametrically as a function of time, where p(t) is the momentum of the solitary wave and v(t) the velocity.« less
Observation of Bloch oscillations in complex PT-symmetric photonic lattices
Wimmer, Martin; Miri, Mohammed-Ali; Christodoulides, Demetrios; Peschel, Ulf
2015-01-01
Light propagation in periodic environments is often associated with a number of interesting and potentially useful processes. If a crystalline optical potential is also linearly ramped, light can undergo periodic Bloch oscillations, a direct outcome of localized Wannier-Stark states and their equidistant eigenvalue spectrum. Even though these effects have been extensively explored in conservative settings, this is by no means the case in non-Hermitian photonic lattices encompassing both amplification and attenuation. Quite recently, Bloch oscillations have been predicted in parity-time-symmetric structures involving gain and loss in a balanced fashion. While in a complex bulk medium, one intuitively expects that light will typically follow the path of highest amplification, in a periodic system this behavior can be substantially altered by the underlying band structure. Here, we report the first experimental observation of Bloch oscillations in parity-time-symmetric mesh lattices. We show that these revivals exhibit unusual properties like secondary emissions and resonant restoration of PT symmetry. In addition, we present a versatile method for reconstructing the real and imaginary components of the band structure by directly monitoring the light evolution during a cycle of these oscillations. PMID:26639941
[Considerations regarding the food of the hospital staff].
Nardin, Anne
2005-02-01
The question concerning the food of the hospital staff has drawn attention only tardily. However, food is a faithful mirror in which the knowledge, the capacities, the values and the imaginary ones of an institution are reflected. It is in 1905 that the reform made by the "Administration générale de l'Assistance Publique de Paris" is specifically concerned, for the first time, by the food of the hospital staff. It is a change in the practices, founded until then on the principle of equality in food treatment, resulting probably from the monastic form of the hospital in the earliest times. The introduction of the system into force today was done gradually in the years 1930. From now on, hospital staff pay their meal to the administration which establishes the account of it on the basis of a refectory card. At the end of this evolution, nothing is similar any more in the hospital on the ground of the hierarchical relations between the administration and its staff. The era of self-service restaurants has open, transforming the consumer into an autonomous active and participative individual, in an institution converted into the play of democraty company.
NASA Astrophysics Data System (ADS)
Aono, Masashi; Gunji, Yukio-Pegio
2004-08-01
How can non-algorithmic/non-deterministic computational syntax be computed? "The hyperincursive system" introduced by Dubois is an anticipatory system embracing the contradiction/uncertainty. Although it may provide a novel viewpoint for the understanding of complex systems, conventional digital computers cannot run faithfully as the hyperincursive computational syntax specifies, in a strict sense. Then is it an imaginary story? In this paper we try to argue that it is not. We show that a model of complex systems "Elementary Conflictable Cellular Automata (ECCA)" proposed by Aono and Gunji is embracing the hyperincursivity and the nonlocality. ECCA is based on locality-only type settings basically as well as other CA models, and/but at the same time, each cell is required to refer to globality-dominant regularity. Due to this contradictory locality-globality loop, the time evolution equation specifies that the system reaches the deadlock/infinite-loop. However, we show that there is a possibility of the resolution of these problems if the computing system has parallel and/but non-distributed property like an amoeboid organism. This paper is an introduction to "the slime mold computing" that is an attempt to cultivate an unconventional notion of computation.
Observation of Bloch oscillations in complex PT-symmetric photonic lattices
NASA Astrophysics Data System (ADS)
Wimmer, Martin; Miri, Mohammed-Ali; Christodoulides, Demetrios; Peschel, Ulf
2015-12-01
Light propagation in periodic environments is often associated with a number of interesting and potentially useful processes. If a crystalline optical potential is also linearly ramped, light can undergo periodic Bloch oscillations, a direct outcome of localized Wannier-Stark states and their equidistant eigenvalue spectrum. Even though these effects have been extensively explored in conservative settings, this is by no means the case in non-Hermitian photonic lattices encompassing both amplification and attenuation. Quite recently, Bloch oscillations have been predicted in parity-time-symmetric structures involving gain and loss in a balanced fashion. While in a complex bulk medium, one intuitively expects that light will typically follow the path of highest amplification, in a periodic system this behavior can be substantially altered by the underlying band structure. Here, we report the first experimental observation of Bloch oscillations in parity-time-symmetric mesh lattices. We show that these revivals exhibit unusual properties like secondary emissions and resonant restoration of PT symmetry. In addition, we present a versatile method for reconstructing the real and imaginary components of the band structure by directly monitoring the light evolution during a cycle of these oscillations.
Polarization ellipse and Stokes parameters in geometric algebra.
Santos, Adler G; Sugon, Quirino M; McNamara, Daniel J
2012-01-01
In this paper, we use geometric algebra to describe the polarization ellipse and Stokes parameters. We show that a solution to Maxwell's equation is a product of a complex basis vector in Jackson and a linear combination of plane wave functions. We convert both the amplitudes and the wave function arguments from complex scalars to complex vectors. This conversion allows us to separate the electric field vector and the imaginary magnetic field vector, because exponentials of imaginary scalars convert vectors to imaginary vectors and vice versa, while exponentials of imaginary vectors only rotate the vector or imaginary vector they are multiplied to. We convert this expression for polarized light into two other representations: the Cartesian representation and the rotated ellipse representation. We compute the conversion relations among the representation parameters and their corresponding Stokes parameters. And finally, we propose a set of geometric relations between the electric and magnetic fields that satisfy an equation similar to the Poincaré sphere equation.
Vartanian, L R
2000-01-01
Adolescents are thought to believe that others are always watching and evaluating them, and that they are special and unique, labeled the imaginary audience and the personal fable, respectively. These two constructs have been fixtures in textbooks on adolescent development, and have been offered as explanations for self-consciousness and risk-taking. However, their characterization of adolescent social cognition as biased has not been supported empirically, the measures used to assess them lack construct validity, and alternative explanations for both ideation patterns have not been explored. Despite these issues, the imaginary audience and personal fable constructs continue to be considered prototypical representations of social cognitive processes during adolescence. This paper (1) reviews theoretical models of the imaginary audience and the personal fable, and the empirical data pertaining to each model, (2) highlights problems surrounding the two most commonly used measures, and (3) outlines directions for future research, so that a better understanding of the imaginary audience and personal fable, and their roles in adolescent development, may be achieved.
Pole movement in electronic and optoelectronic oscillators
NASA Astrophysics Data System (ADS)
Chatterjee, S.; Pal, S.; Biswas, B. N.
2013-12-01
An RLC circuit with poles on the left half of the complex frequency plane is capable of executing transient oscillations. During this period, energy conversion from potential to kinetic and from kinetic to potential continuously goes on, until the stored energy is lost in dissipation through the resistance. On the other hand, in an electronic or opto-electronic oscillator with an embedded RLC circuit, the poles are forcibly placed on the right-half plane (RHP) and as far as practicable away from the imaginary axis in order to help the growth of oscillation as quickly as possible. And ultimately, it is imagined that, like the case of an ideal linear harmonic oscillator, the poles are frozen on the imaginary axis so that the oscillation neither grows nor decays. The authors feel that this act of holding the poles right on the imaginary axis is a theoretical conjecture in a soft or hard self-excited oscillator. In this article, a detailed discussion on pole movement in an electronic and opto-electronic oscillator is carried out from the basic concept. A new analytical method for estimating the time-dependent part of the pole is introduced here.
Children’s Imaginaries of Human-Robot Interaction in Healthcare
2018-01-01
This paper analyzes children’s imaginaries of Human-Robots Interaction (HRI) in the context of social robots in healthcare, and it explores ethical and social issues when designing a social robot for a children’s hospital. Based on approaches that emphasize the reciprocal relationship between society and technology, the analytical force of imaginaries lies in their capacity to be embedded in practices and interactions as well as to affect the construction and applications of surrounding technologies. The study is based on a participatory process carried out with six-year-old children for the design of a robot. Imaginaries of HRI are analyzed from a care-centered approach focusing on children’s values and practices as related to their representation of care. The conceptualization of HRI as an assemblage of interactions, the prospective bidirectional care relationships with robots, and the engagement with the robot as an entity of multiple potential robots are the major findings of this study. The study shows the potential of studying imaginaries of HRI, and it concludes that their integration in the final design of robots is a way of including ethical values in it. PMID:29757221
Children's Imaginaries of Human-Robot Interaction in Healthcare.
Vallès-Peris, Núria; Angulo, Cecilio; Domènech, Miquel
2018-05-12
This paper analyzes children’s imaginaries of Human-Robots Interaction (HRI) in the context of social robots in healthcare, and it explores ethical and social issues when designing a social robot for a children’s hospital. Based on approaches that emphasize the reciprocal relationship between society and technology, the analytical force of imaginaries lies in their capacity to be embedded in practices and interactions as well as to affect the construction and applications of surrounding technologies. The study is based on a participatory process carried out with six-year-old children for the design of a robot. Imaginaries of HRI are analyzed from a care-centered approach focusing on children’s values and practices as related to their representation of care. The conceptualization of HRI as an assemblage of interactions, the prospective bidirectional care relationships with robots, and the engagement with the robot as an entity of multiple potential robots are the major findings of this study. The study shows the potential of studying imaginaries of HRI, and it concludes that their integration in the final design of robots is a way of including ethical values in it.
Beekman, Alice; Shan, Daxian; Ali, Alana; Dai, Weiguo; Ward-Smith, Stephen; Goldenberg, Merrill
2005-04-01
This study evaluated the effect of the imaginary component of the refractive index on laser diffraction particle size data for pharmaceutical samples. Excipient particles 1-5 microm in diameter (irregular morphology) were measured by laser diffraction. Optical parameters were obtained and verified based on comparison of calculated vs. actual particle volume fraction. Inappropriate imaginary components of the refractive index can lead to inaccurate results, including false peaks in the size distribution. For laser diffraction measurements, obtaining appropriate or "effective" imaginary components of the refractive index was not always straightforward. When the recommended criteria such as the concentration match and the fit of the scattering data gave similar results for very different calculated size distributions, a supplemental technique, microscopy with image analysis, was used to decide between the alternatives. Use of effective optical parameters produced a good match between laser diffraction data and microscopy/image analysis data. The imaginary component of the refractive index can have a major impact on particle size results calculated from laser diffraction data. When performed properly, laser diffraction and microscopy with image analysis can yield comparable results.
On the use of imaginary faults in palaeostress analysis
NASA Astrophysics Data System (ADS)
Shan, Yehua; Liang, Xinquan
2017-11-01
The imaginary fault refers to the counterpart of a certain given fault that has a similar expression about the Wallace-Bott hypothesis. It is included to further reduce the feasible fields for the principal stress directions using the right dihedra method. The given fault and its imaginary fault have a similar dip-slip sense under the extensional or compressional regime but, as proved in this paper, a different dip-slip sense under the strike-slip regime. Their relation in dip-slip sense does no change with the rotation of the coordinate system, thus making possible the general use in the reduction of the imaginary faults under any tectonic regime. A procedure for this use is proposed and applied to a real example to demonstrate the feasibility of this method.
Viel, Alexandra; Coutinho-Neto, Maurício D; Manthe, Uwe
2007-01-14
Quantum dynamics calculations of the ground state tunneling splitting and of the zero point energy of malonaldehyde on the full dimensional potential energy surface proposed by Yagi et al. [J. Chem. Phys. 1154, 10647 (2001)] are reported. The exact diffusion Monte Carlo and the projection operator imaginary time spectral evolution methods are used to compute accurate benchmark results for this 21-dimensional ab initio potential energy surface. A tunneling splitting of 25.7+/-0.3 cm-1 is obtained, and the vibrational ground state energy is found to be 15 122+/-4 cm-1. Isotopic substitution of the tunneling hydrogen modifies the tunneling splitting down to 3.21+/-0.09 cm-1 and the vibrational ground state energy to 14 385+/-2 cm-1. The computed tunneling splittings are slightly higher than the experimental values as expected from the potential energy surface which slightly underestimates the barrier height, and they are slightly lower than the results from the instanton theory obtained using the same potential energy surface.
NASA Astrophysics Data System (ADS)
Chin, Siu A.
2014-03-01
The sign-problem in PIMC simulations of non-relativistic fermions increases in serverity with the number of fermions and the number of beads (or time-slices) of the simulation. A large of number of beads is usually needed, because the conventional primitive propagator is only second-order and the usual thermodynamic energy-estimator converges very slowly from below with the total imaginary time. The Hamiltonian energy-estimator, while more complicated to evaluate, is a variational upper-bound and converges much faster with the total imaginary time, thereby requiring fewer beads. This work shows that when the Hamiltonian estimator is used in conjunction with fourth-order propagators with optimizable parameters, the ground state energies of 2D parabolic quantum-dots with approximately 10 completely polarized electrons can be obtain with ONLY 3-5 beads, before the onset of severe sign problems. This work was made possible by NPRP GRANT #5-674-1-114 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the author.
Wilhelm, Jan; Seewald, Patrick; Del Ben, Mauro; Hutter, Jürg
2016-12-13
We present an algorithm for computing the correlation energy in the random phase approximation (RPA) in a Gaussian basis requiring [Formula: see text] operations and [Formula: see text] memory. The method is based on the resolution of the identity (RI) with the overlap metric, a reformulation of RI-RPA in the Gaussian basis, imaginary time, and imaginary frequency integration techniques, and the use of sparse linear algebra. Additional memory reduction without extra computations can be achieved by an iterative scheme that overcomes the memory bottleneck of canonical RPA implementations. We report a massively parallel implementation that is the key for the application to large systems. Finally, cubic-scaling RPA is applied to a thousand water molecules using a correlation-consistent triple-ζ quality basis.
Momentum dependence of the imaginary part of the ω- and η^'-nucleus optical potential
NASA Astrophysics Data System (ADS)
Friedrich, S.; Nanova, M.; Metag, V.; Afzal, F. N.; Bayadilov, D.; Bantes, B.; Beck, R.; Becker, M.; Böse, S.; Brinkmann, K.-T.; Crede, V.; Drexler, P.; Eberhardt, H.; Elsner, D.; Frommberger, F.; Funke, Ch.; Gottschall, M.; Grüner, M.; Gutz, E.; Hammann, Ch.; Hannappel, J.; Hartmann, J.; Hillert, W.; Hoffmeister, Ph.; Honisch, Ch.; Jude, T.; Kaiser, D.; Kalischewski, F.; Keshelashvili, I.; Klein, F.; Koop, K.; Krusche, B.; Lang, M.; Makonyi, K.; Messi, F.; Müller, J.; Müllers, J.; Piontek, D.-M.; Rostomyan, T.; Schaab, D.; Schmidt, Ch.; Schmieden, H.; Schmitz, R.; Seifen, T.; Sokhoyan, V.; Sowa, C.; Spieker, K.; Thiel, A.; Thoma, U.; Triffterer, T.; Urban, M.; van Pee, H.; Walther, D.; Wendel, Ch.; Werthmüller, D.; Wiedner, U.; Wilson, A.; Witthauer, L.; Wunderlich, Y.; Zaunick, H.-G.
2016-09-01
The photoproduction of ω and η^' mesons off carbon and niobium nuclei has been measured as a function of the meson momentum for incident photon energies of 1.2-2.9GeV at the electron accelerator ELSA. The mesons have been identified via the ω → π0 γ → 3 γ and η^' → π0 π0η → 6 γ decays, respectively, registered with the CBELSA/TAPS detector system. From the measured meson momentum distributions the momentum dependence of the transparency ratio has been determined for both mesons. Within a Glauber analysis the in-medium ω and η^' widths and the corresponding absorption cross sections have been deduced as a function of the meson momentum. The results are compared to recent theoretical predictions for the in-medium ω width and η^'-N absorption cross sections. The energy dependence of the imaginary part of the ω- and η^'-nucleus optical potential has been extracted. The finer binning of the present data compared to the existing data allows a more reliable extrapolation towards the production threshold. The modulus of the imaginary part of the η^'-nucleus potential is found to be about three times smaller than recently determined values of the real part of the η^'-nucleus potential, which makes the η^' meson a suitable candidate for the search for meson-nucleus bound states. For the ω meson, the modulus of the imaginary part near threshold is comparable to the modulus of the real part of the potential. As a consequence, only broad structures can be expected, which makes the observation of ω mesic states very difficult experimentally.
Mental imagery of gravitational motion.
Gravano, Silvio; Zago, Myrka; Lacquaniti, Francesco
2017-10-01
There is considerable evidence that gravitational acceleration is taken into account in the interaction with falling targets through an internal model of Earth gravity. Here we asked whether this internal model is accessed also when target motion is imagined rather than real. In the main experiments, naïve participants grasped an imaginary ball, threw it against the ceiling, and caught it on rebound. In different blocks of trials, they had to imagine that the ball moved under terrestrial gravity (1g condition) or under microgravity (0g) as during a space flight. We measured the speed and timing of the throwing and catching actions, and plotted ball flight duration versus throwing speed. Best-fitting duration-speed curves estimate the laws of ball motion implicit in the participant's performance. Surprisingly, we found duration-speed curves compatible with 0g for both the imaginary 0g condition and the imaginary 1g condition, despite the familiarity with Earth gravity effects and the added realism of performing the throwing and catching actions. In a control experiment, naïve participants were asked to throw the imaginary ball vertically upwards at different heights, without hitting the ceiling, and to catch it on its way down. All participants overestimated ball flight durations relative to the durations predicted by the effects of Earth gravity. Overall, the results indicate that mental imagery of motion does not have access to the internal model of Earth gravity, but resorts to a simulation of visual motion. Because visual processing of accelerating/decelerating motion is poor, visual imagery of motion at constant speed or slowly varying speed appears to be the preferred mode to perform the tasks. Copyright © 2017 Elsevier Ltd. All rights reserved.
Stochastic, real-space, imaginary-time evaluation of third-order Feynman-Goldstone diagrams
NASA Astrophysics Data System (ADS)
Willow, Soohaeng Yoo; Hirata, So
2014-01-01
A new, alternative set of interpretation rules of Feynman-Goldstone diagrams for many-body perturbation theory is proposed, which translates diagrams into algebraic expressions suitable for direct Monte Carlo integrations. A vertex of a diagram is associated with a Coulomb interaction (rather than a two-electron integral) and an edge with the trace of a Green's function in real space and imaginary time. With these, 12 diagrams of third-order many-body perturbation (MP3) theory are converted into 20-dimensional integrals, which are then evaluated by a Monte Carlo method. It uses redundant walkers for convergence acceleration and a weight function for importance sampling in conjunction with the Metropolis algorithm. The resulting Monte Carlo MP3 method has low-rank polynomial size dependence of the operation cost, a negligible memory cost, and a naturally parallel computational kernel, while reproducing the correct correlation energies of small molecules within a few mEh after 106 Monte Carlo steps.
NASA Astrophysics Data System (ADS)
Yang, Jianke; Nixon, Sean
2016-11-01
Stability of soliton families in one-dimensional nonlinear Schrödinger equations with non-parity-time (PT)-symmetric complex potentials is investigated numerically. It is shown that these solitons can be linearly stable in a wide range of parameter values both below and above phase transition. In addition, a pseudo-Hamiltonian-Hopf bifurcation is revealed, where pairs of purely-imaginary eigenvalues in the linear-stability spectra of solitons collide and bifurcate off the imaginary axis, creating oscillatory instability, which resembles Hamiltonian-Hopf bifurcations of solitons in Hamiltonian systems even though the present system is dissipative and non-Hamiltonian. The most important numerical finding is that, eigenvalues of linear-stability operators of these solitons appear in quartets (λ , - λ ,λ* , -λ*), similar to conservative systems and PT-symmetric systems. This quartet eigenvalue symmetry is very surprising for non- PT-symmetric systems, and it has far-reaching consequences on the stability behaviors of solitons.
Moon Illusion: An Event in Imaginary Space.
Gruber, H E; King, W L; Link, S
1963-02-22
The illusion was obtained with artificial moons viewed against a luminous ceiling, and also with an imaginary ceiling induced by first showing a luminous ceiling and then removing it before the moons were introduced.
Duan, Yuetao; Luo, Jie; Wang, Guanghao; Hang, Zhi Hong; Hou, Bo; Li, Jensen; Sheng, Ping; Lai, Yun
2015-01-01
We derive and numerically demonstrate that perfect absorption of elastic waves can be achieved in two types of ultra-thin elastic meta-films: one requires a large value of almost pure imaginary effective mass density and a free space boundary, while the other requires a small value of almost pure imaginary effective modulus and a hard wall boundary. When the pure imaginary density or modulus exhibits certain frequency dispersions, the perfect absorption effect becomes broadband, even in the low frequency regime. Through a model analysis, we find that such almost pure imaginary effective mass density with required dispersion for perfect absorption can be achieved by elastic metamaterials with large damping. Our work provides a feasible approach to realize broadband perfect absorption of elastic waves in ultra-thin films. PMID:26184117
Compressive strain induced dynamical stability of monolayer 1T-MX2 (M = Mo, W; X = S, Se)
NASA Astrophysics Data System (ADS)
Li, Xiaoyong; Wu, Musheng; Xu, Bo; Liu, Ruifan; Ouyang, Chuying
2017-11-01
The lattice dynamical properties of 1T-MX2 (M = Mo, W; X = S, Se) under different strains were studied by using density functional perturbation theory method. Our results show that all MX2 with 1T phase in our calculations are dynamical instable under zero strain or tensile strain as obvious imaginary frequencies (soft modes) exist. When 3% biaxial compressive strains are applied, the imaginary frequencies remain except that the absolute values of maximum imaginary frequency decrease. With the increase of compressive strain to be 6%, 1T-MoS2, 1T-MoSe2, 1T-WS2 become stable, whereas 1T-WSe2 has small imaginary frequencies. When biaxial compressive strain reaches 9%, all 1T-MX2 are dynamical stable without imaginary frequencies in the phonon dispersion curves. Energy band structures show that all 1T-MX2 are metallic, regardless of zero strain or compressive strain. Therefore, compressive strain could be a practical approach to enhance the stability of 1T-MX2 while maintaining the metallic property.
Imaginary Play Companions: Characteristics and Functions.
ERIC Educational Resources Information Center
Kalyan-Masih, V.
1986-01-01
Investigates some of the following characteristics associated with young children playing with imaginary play companions (IPCs): intelligence, parental and socioeconomic and educational background, family size, and birth order. Compares these children to those without IPCs. (HOD)
[Mirror image of the ego. On Jacques Lacan's theory of the imaginary].
Gekle, H
1995-08-01
Lacan places the concept of the imaginary alongside the categories of the real and the symbolic. This concept plays a highly prominent role in his thinking, given that the essential determination of the imaginary is the primary relation of the ego to the image of the similar. Thus it is not surprising that unlike Freud the early Lacan acceded to the status of theoretician of surrealism, his decentralization of the cogito having a profound effect on Dalí in particular. The author shows that non-identity and paranoic anamorphosis are only conceivable as the forms of the imaginary absolutised by Lacan if they are seen in relation to an Oedipally constructed cogito--just as mannerism regularly follows classicism and cannot be conceived of separately from it. If Freud was a classicist, Lacan was the mannerist who came after him--except that the latter refused to countenance this connection.
The biometric imaginary: (Dis)trust in a policy vacuum.
Gunnarsdóttir, Kristrún; Rommetveit, Kjetil
2017-02-01
The decision in Europe to implement biometric passports, visas and residence permits was made at the highest levels without much consultation, checks and balances. Council regulation came into force relatively unnoticed in January 2005, as part of wider securitization policies urging systems interoperability and data sharing across borders. This article examines the biometric imaginary that characterizes this European Union decision, dictated by executive powers in the policy vacuum after 9/11 - a depiction of mobility governance, technological necessity and whom/what to trust or distrust, calling upon phantom publics to justify decisions rather than test their grounding. We consult an online blog we operated in 2010 to unravel this imaginary years on. Drawing on Dewey's problem of the public, we discuss this temporary opening of a public space in which the imaginary could be reframed and contested, and how such activities may shape, if at all, relations between politics, publics, policy intervention and societal development.
Building a Collaborative Online Literary Experience
ERIC Educational Resources Information Center
Essid, Joe; Wilde, Fran
2011-01-01
Effective virtual simulations can embed participants in imaginary worlds. Researchers working in virtual worlds and gaming often refer to "immersion," a state in which a participant or player loses track of time and becomes one with the simulation. Immersive settings have been shown to deepen learning. Ken Hudson's work with students…
Imaginary Figures of Early Childhood: Santa Claus, Easter Bunny, and the Tooth Fairy.
ERIC Educational Resources Information Center
Prentice, Norman M.; And Others
1978-01-01
The developmental progression of belief in three major imaginary figures of early childhood was examined in 20 White, Christian children (ages four to eight years) by means of interviews and parental questionnaires. (Author/DLS)
The Imaginary Worlds of Childhood: A Multimedia Presentation.
ERIC Educational Resources Information Center
Dyson, Anne Haas
1986-01-01
Presents observations of three children's styles of symbolic language focusing on how each leaned to different degrees on drawing and talking to create their imaginary worlds and thus faced different challenges in rendering those worlds in print. (SRT)
NASA Astrophysics Data System (ADS)
Maksimenko, Vladimir; Runnova, Anastasia; Pchelintseva, Svetlana; Efremova, Tatiana; Zhuravlev, Maksim; Pisarchik, Alexander
2018-04-01
We have considered time-frequency and spatio-temporal structure of electrical brain activity, associated with real and imaginary movements based on the multichannel EEG recordings. We have found that along with wellknown effects of event-related desynchronization (ERD) in α/μ - rhythms and β - rhythm, these types of activity are accompanied by the either ERS (for real movement) or ERD (for imaginary movement) in low-frequency δ - band, located mostly in frontal lobe. This may be caused by the associated processes of decision making, which take place when subject is deciding either perform the movement or imagine it. Obtained features have been found in untrained subject which it its turn gives the possibility to use our results in the development of brain-computer interfaces for controlling anthropomorphic robotic arm.
System stability and calibrations for hand-held electromagnetic frequency domain instruments
NASA Astrophysics Data System (ADS)
Saksa, Pauli J.; Sorsa, Joona
2017-05-01
There are a few multiple-frequency domain electromagnetic induction (EMI) hand-held rigid boom systems available for shallow geophysical resistivity investigations. They basically measure secondary field real and imaginary components after the system calibrations. One multiple-frequency system, the EMP-400 Profiler from Geophysical Survey Systems Inc., was tested for system calibrations, stability and various effects present in normal measurements like height variation, tilting, signal stacking and time stability. Results indicated that in test conditions, repeatable high-accuracy imaginary component values can be recorded for near-surface frequency soundings. In test conditions, real components are also stable but vary strongly in normal surveying measurements. However, certain calibration issues related to the combination of user influence and measurement system height were recognised as an important factor in reducing for data errors and for further processing like static offset corrections.
Superluminal transformations in complex Minkowski spaces
DOE Office of Scientific and Technical Information (OSTI.GOV)
Ramon, C.; Rauscher, E.A.
1980-08-01
We calculate the mixing of real and imaginary components of space and time under the influence of superluminal boots in the x direction. A unique mixing is determined for this superluminal Lorentz transformation when we consider the symmetry properties afforded by the inclusion of three temporal directions. Superluminal transformations in complex six-dimensional space exhibit unique tachyonic connections which have both remote and local space--time event connections.
Imaginary Companions of Preschool Children.
ERIC Educational Resources Information Center
Gleason, Tracy R.; Sebanc, Anne M.; Hartup, Willard W.
2000-01-01
Interviewed mothers to examine the developmental significance of preschoolers' imaginary companions. Found that relationships with invisible companions were described as sociable and friendly, whereas personified objects were usually nurtured. Object personification frequently occurred as a result of acquiring a toy; invisible friends were viewed…
Olafsson, Valur T; Noll, Douglas C; Fessler, Jeffrey A
2018-02-01
Penalized least-squares iterative image reconstruction algorithms used for spatial resolution-limited imaging, such as functional magnetic resonance imaging (fMRI), commonly use a quadratic roughness penalty to regularize the reconstructed images. When used for complex-valued images, the conventional roughness penalty regularizes the real and imaginary parts equally. However, these imaging methods sometimes benefit from separate penalties for each part. The spatial smoothness from the roughness penalty on the reconstructed image is dictated by the regularization parameter(s). One method to set the parameter to a desired smoothness level is to evaluate the full width at half maximum of the reconstruction method's local impulse response. Previous work has shown that when using the conventional quadratic roughness penalty, one can approximate the local impulse response using an FFT-based calculation. However, that acceleration method cannot be applied directly for separate real and imaginary regularization. This paper proposes a fast and stable calculation for this case that also uses FFT-based calculations to approximate the local impulse responses of the real and imaginary parts. This approach is demonstrated with a quadratic image reconstruction of fMRI data that uses separate roughness penalties for the real and imaginary parts.
Business Partnerships: Sex and Attractiveness Stereotypes.
ERIC Educational Resources Information Center
Kushner, T.
1982-01-01
Examined the preference for men over women as business partners in three studies. Results showed that both men and women tended to use masculine names when naming imaginary partners, and chose attractive males most and unattractive females least when choosing imaginary partners from photographs. (WAS)
14 CFR 77.28 - Military airport imaginary surfaces.
Code of Federal Regulations, 2011 CFR
2011-01-01
... 14 Aeronautics and Space 2 2011-01-01 2011-01-01 false Military airport imaginary surfaces. 77.28 Section 77.28 Aeronautics and Space FEDERAL AVIATION ADMINISTRATION, DEPARTMENT OF TRANSPORTATION... above the established airfield elevation. (3) Outer horizontal surface. A plane, located 500 feet above...
An Imaginary Community--Hotel.
ERIC Educational Resources Information Center
Allan, Jan
1969-01-01
An English class at Newtyle Secondary School, Scotland, spent four periods a week for 6 weeks on an anthological project entitled "hotel". Students assumed roles in an imaginary hotel community, wrote advertisements, brochures, and business letters, and participated in interviews, discussions, and dramatizations of specific hotel problems. Besides…
Re(con)ceiving Young Children's Curricular Performativity
ERIC Educational Resources Information Center
Sellers, Marg
2010-01-01
Working (with) Deleuzo-Guattarian philosophical imaginaries opens (to) a multiplicity of possibilities for thinking differently about curriculum, young children and how they perform their curricular understandings. In this article I work (as) rhizome, bringing the imaginaries "becoming" and "milieu" into an early childhood curriculum conversation…
Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
NASA Astrophysics Data System (ADS)
Stéphan, Jean-Marie
2017-10-01
We study the return probability and its imaginary (τ) time continuation after a quench from a domain wall initial state in the XXZ spin chain, focusing mainly on the region with anisotropy \\vert Δ\\vert < 1 . We establish exact Fredholm determinant formulas for those, by exploiting a connection to the six-vertex model with domain wall boundary conditions. In imaginary time, we find the expected scaling for a partition function of a statistical mechanical model of area proportional to τ2 , which reflects the fact that the model exhibits the limit shape phenomenon. In real time, we observe that in the region \\vert Δ\\vert <1 the decay for long time t is nowhere continuous as a function of anisotropy: it is Gaussian at roots of unity and exponential otherwise. We also determine that the front moves as x_f(t)=t\\sqrt{1-Δ^2} , by the analytic continuation of known arctic curves in the six-vertex model. Exactly at \\vert Δ\\vert =1 , we find the return probability decays as e-\\zeta(3/2) \\sqrt{t/π}t1/2O(1) . It is argued that this result provides an upper bound on spin transport. In particular, it suggests that transport should be diffusive at the isotropic point for this quench.
Moriguchi, Yusuke; Kanakogi, Yasuhiro; Todo, Naoya; Okumura, Yuko; Shinohara, Ikuko; Itakura, Shoji
2016-01-01
It has been shown that there is a significant relationship between children's mentalizing skills and creation of an imaginary companion (IC). Theorists have proposed that interaction with an IC may improve mentalizing skills, but it is also possible that children's mentalizing skills affect their creation of an IC. In this longitudinal study, we examined whether goal attribution in infants younger than 1 years old (Time 1) predicted their creation of ICs at 48 months old (Time 2). At Time 1, infants' goal attribution was measured in an action prediction experiment, where infants anticipated three types of action goals: (1) another person's goal-directed action (GH condition); (2) another person's non-goal-directed (BH condition); and (3) a mechanical claw's goal-directed action (MC condition). At Time 2, parents completed questionnaires assessing whether their children had ICs. The path analyses using Bayesian estimation revealed that infants' anticipation in the MC condition, but not in the GH and BH conditions, predicted their later IC status. These results indicate that infants' goal attributions to non-human agents may be a strong predictor of their later IC creation. Early mentalizing skills toward non-human objects may provide children with a basis for their engagement in imaginative play.
Semimicroscopic analysis of 6Li+28Si elastic scattering at 76 to 318 MeV
NASA Astrophysics Data System (ADS)
Hassanain, M. A.; Anwar, M.; Behairy, Kassem O.
2018-04-01
Using the α-cluster structure of colliding nuclei, the elastic scattering of 6Li+28Si at energies from 76 to 318 MeV has been investigated by the use of the real folding cluster approach. The results of the cluster analysis are compared with those obtained by the CDM3Y6 effective density- and energy-dependent nucleon-nucleon (NN) interaction based upon G -matrix elements of the M3Y-Paris potential. A Woods-Saxon (WS) form was used for the imaginary potential. For all energies and derived potentials, the diffraction region was well reproduced, except at Elab=135 and 154 MeV at large angle. These results suggest that the addition of the surface (DWS) imaginary potential term to the volume imaginary potential is essential for a correct description of the refractive structure of the 6Li elastic scattering distribution at these energies. The energy dependence of the total reaction cross sections and that of the real and imaginary volume integrals is also discussed.
Adolescent egocentrism and indoor tanning: is the relationship direct or mediated?
Banerjee, Smita C; Greene, Kathryn; Yanovitzky, Itzhak; Bagdasarov, Zhanna; Choi, Soe Yoon; Magsamen-Conrad, Kate
2015-01-01
This paper explored how imaginary audience and personal fable ideations contribute to adolescent indoor tanning intentions directly and indirectly through the way they shape pro-tanning attitude and association with peers who use tanning beds. Five hundred and ninety-five male ( n = 207) and female ( n = 387) adolescents, ranging in age from 11 to 19 ( M = 16.87; SD = 1.34) years completed a cross-sectional survey. Measures included imaginary audience, personal fable (three dimensions: invulnerability, uniqueness, and omnipotence), pro-tanning attitude, association with peers who use tanning beds, and tanning bed use intentions. Bootstrapping analyses documented that imaginary audience ideations are indirectly associated with indoor tanning intentions through the mediation of pro-tanning attitude and association with peers who use tanning beds. Of the personal fable ideations, only invulnerability ideation is indirectly associated with indoor tanning intentions through the mediation of association with peers who use tanning beds. Design and evaluation of interventions and campaigns to reduce indoor tanning must be targeted to adolescents varying in imaginary audience ideations differently.
ERIC Educational Resources Information Center
Jelinek, Gilbert; Schoenike, Paul
Ideas are offered for helping eighth-grade students incorporate an at-home field trip to Canada into a social studies unit. The teachers who developed the unit state that students can complete the 21-day imaginary trip in five hours of classroom time when appropriate materials are available and the classroom environment is conducive to working on…
The "Campus Imaginary": Online Students' Experience of the Masters Dissertation at a Distance
ERIC Educational Resources Information Center
Ross, Jen; Sheail, Philippa
2017-01-01
Higher education research has overlooked online distance Masters students' experiences of independent research, and this is an important gap at a time when increasing numbers of taught postgraduate programmes are delivered online. This article discusses findings from interviews with eighteen graduates from four online Masters programmes. It…
The Imaginary World of Henri Rousseau. Teacher's Guide. School Arts: Looking/Learning.
ERIC Educational Resources Information Center
Henderson, Anne
While Henri Rousseau's work was not easily classified into any definitive artistic style of the time--impressionism, post-impressionism, fauvism, or cubism--it has been considered a forerunner of surrealism because of its dreamlike sensibility. This teaching guide provides information about Rousseau and his work, focusing on "Tropical Forest…
Incorporating Information Networks into Military Simulations
2008-12-01
Figure 4 on an imaginary vertical axis. For example, an agent with blueness 110 possesses the “Net- work of civilians partial to insurgency, blueness...her e-mail is <ssanchez@nps.edu>. THORSTEN SEITZ was born in 1964 in Einbeck, Lower Saxony, where he spent his childhood and his school time. In 1984
NASA Astrophysics Data System (ADS)
Mukherjee, S. P.; Carbotte, J. P.
2018-01-01
We consider a Weyl semimetal with finite doping and tilt within a continuum model Hamiltonian with both broken time-reversal and inversion symmetry. We calculate the absorptive part of the anomalous ac Hall conductivity as a function of photon energy Ω for both type-I and type-II Weyl semimetals. For a given Weyl node, changing the sign of its chirality or of its tilt changes the sign of its contribution to the absorptive Hall conductivity with no change in magnitude. For a noncentrosymmetric system we find that there are ranges of photon energies for which only the positive or only the negative-chirality node contributes to the imaginary (absorptive) part of the Hall conductivity. There are also other photon energies where both chiralities contribute, and there can be other ranges of Ω where there is no absorption associated with the ac Hall conductivity in type-I semimetals and regions where it is instead constant for type-II semimetals. We comment on implications for the absorption of circularly polarized light.
Attempt to generalize fractional-order electric elements to complex-order ones
NASA Astrophysics Data System (ADS)
Si, Gangquan; Diao, Lijie; Zhu, Jianwei; Lei, Yuhang; Zhang, Yanbin
2017-06-01
The complex derivative {D}α +/- {{j}β }, with α, β \\in R+ is a generalization of the concept of integer derivative, where α=1, β=0. Fractional-order electric elements and circuits are becoming more and more attractive. In this paper, the complex-order electric elements concept is proposed for the first time, and the complex-order elements are modeled and analyzed. Some interesting phenomena are found that the real part of the order affects the phase of output signal, and the imaginary part affects the amplitude for both the complex-order capacitor and complex-order memristor. More interesting is that the complex-order capacitor can do well at the time of fitting electrochemistry impedance spectra. The complex-order memristor is also analyzed. The area inside the hysteresis loops increases with the increasing of the imaginary part of the order and decreases with the increasing of the real part. Some complex case of complex-order memristors hysteresis loops are analyzed at last, whose loop has touching points beyond the origin of the coordinate system.
Imaginary potential of moving quarkonia in a D-instanton background
NASA Astrophysics Data System (ADS)
Zhang, Zi-qiang; Hou, De-fu; Chen, Gang
2017-11-01
The imaginary part of the inter-quark potential of moving heavy quarkonia is investigated in the context of dual super-gravity in an AdS background, deformed by a dilaton which induces the gauge field condensate in the dual gauge theory. A quark-anti-quark pair is analyzed, moving transverse and parallel to the plasma wind, in turn. It is shown that in both cases increased D-instanton density tends to increase the inter-distance and decrease the imaginary potential, opposite to the effect of the pair’s velocity. Moreover, it is found that the D-instanton density has stronger effects in the parallel case than the transverse.
ERIC Educational Resources Information Center
Peers, Chris
2014-01-01
Chris Peers begins his response to Jim Mackenzie's article, "Peers on Socrates and Plato" by asking "What is the 'masculine imaginary?'" Peers defines the term "imaginary" as it is applied in his article, "Freud, Plato and Irigaray: A Morpho-Logic of Teaching and Learning" (2012) and draws…
Qualifications Frameworks and Their Conflicting Social Imaginaries of Globalisation
ERIC Educational Resources Information Center
Louise Sarauw, Laura
2012-01-01
Critics often see the European Bologna Process as a univocal standardisation of higher education. By exploring how different qualifications frameworks project different social imaginaries of globalisation, this article takes a different stance. The overarching qualifications framework of the Bologna Process rests on a socially constituted and…
NASA Astrophysics Data System (ADS)
Díaz-Michelena, M.; de Frutos, J.; Ordóñez, A. A.; Rivero, M. A.; Mesa, J. L.; González, L.; Lavín, C.; Aroca, C.; Sanz, M.; Maicas, M.; Prieto, J. L.; Cobos, P.; Pérez, M.; Kilian, R.; Baeza, O.; Langlais, B.; Thébault, E.; Grösser, J.; Pappusch, M.
2017-09-01
In space instrumentation, there is currently no instrument dedicated to susceptibly or complete magnetization measurements of rocks. Magnetic field instrument suites are generally vector (or scalar) magnetometers, which locally measure the magnetic field. When mounted on board rovers, the electromagnetic perturbations associated with motors and other elements make it difficult to reap the benefits from the inclusion of such instruments. However, magnetic characterization is essential to understand key aspects of the present and past history of planetary objects. The work presented here overcomes the limitations currently existing in space instrumentation by developing a new portable and compact multi-sensor instrument for ground breaking high-resolution magnetic characterization of planetary surfaces and sub-surfaces. This new technology introduces for the first time magnetic susceptometry (real and imaginary parts) as a complement to existing compact vector magnetometers for planetary exploration. This work aims to solve the limitations currently existing in space instrumentation by means of providing a new portable and compact multi-sensor instrument for use in space, science and planetary exploration to solve some of the open questions on the crustal and more generally planetary evolution within the Solar System.
14 CFR 77.21 - Department of Defense (DOD) airport imaginary surfaces.
Code of Federal Regulations, 2014 CFR
2014-01-01
... 14 Aeronautics and Space 2 2014-01-01 2014-01-01 false Department of Defense (DOD) airport imaginary surfaces. 77.21 Section 77.21 Aeronautics and Space FEDERAL AVIATION ADMINISTRATION, DEPARTMENT OF... Determining Obstructions to Air Navigation or Navigational Aids or Facilities § 77.21 Department of Defense...
14 CFR 77.21 - Department of Defense (DOD) airport imaginary surfaces.
Code of Federal Regulations, 2012 CFR
2012-01-01
... 14 Aeronautics and Space 2 2012-01-01 2012-01-01 false Department of Defense (DOD) airport imaginary surfaces. 77.21 Section 77.21 Aeronautics and Space FEDERAL AVIATION ADMINISTRATION, DEPARTMENT OF... Determining Obstructions to Air Navigation or Navigational Aids or Facilities § 77.21 Department of Defense...
14 CFR 77.21 - Department of Defense (DOD) airport imaginary surfaces.
Code of Federal Regulations, 2013 CFR
2013-01-01
... 14 Aeronautics and Space 2 2013-01-01 2013-01-01 false Department of Defense (DOD) airport imaginary surfaces. 77.21 Section 77.21 Aeronautics and Space FEDERAL AVIATION ADMINISTRATION, DEPARTMENT OF... Determining Obstructions to Air Navigation or Navigational Aids or Facilities § 77.21 Department of Defense...
Secret Characters: The Interaction of Narrative and Technology.
ERIC Educational Resources Information Center
Jones, Gwyneth
2002-01-01
Presents an autobiographical sketch of a science fiction writer's relationship with the Information Technology revolution, from the Commodore PET to Microsoft 2000: a creator of imaginary futures privileged to observe an "imaginary future" in the act of becoming present reality. Touches on the nature of narrative and technology, the changing…
ERIC Educational Resources Information Center
Love, Alan C.
2010-01-01
An overlooked feature of Darwin's work is his use of "imaginary illustrations" to show that natural selection is competent to produce adaptive, evolutionary change. When set in the context of Darwin's methodology, these thought experiments provide a novel way to teach natural selection and the nature of science.
The Personal Fable and Risk-Taking in Early Adolescence
ERIC Educational Resources Information Center
Alberts, Amy; Elkind, David; Ginsberg, Stephen
2007-01-01
Elkind's (1967) theory of adolescent egocentrism proposes two distinct, but related, constructs--the "imaginary audience" and the "personal fable." A corollary to the imaginary audience, the personal fable (PF) yields a sense of invulnerability and speciality commonly associated with behavioral risk-taking. When regarded as a developmental…
Children's Perceptions of Medical and Psychological Disorders in Their Peers.
ERIC Educational Resources Information Center
Roberts, Michael C.; And Others
The present investigation examined how children viewed imaginary peers who were described as suffering from various forms of medical or psychological disorders. Four written vignettes were employed, each describing imaginary children who varied on dimensions of type of disorder (Medical/Psychological) and severity of the problem (Mild/Severe).…
The Social Imaginary of Study Abroad: Complexities and Contradictions
ERIC Educational Resources Information Center
Kubota, Ryuko
2016-01-01
Many universities around the world today are actively promoting study abroad to raise their international profiles. This trend is tied to the neoliberal social imaginary, which constructs study abroad as a tool for students to develop communication skills, a global mindset, intercultural competence and a competitive edge in global labour…
Boltzmann-conserving classical dynamics in quantum time-correlation functions: "Matsubara dynamics".
Hele, Timothy J H; Willatt, Michael J; Muolo, Andrea; Althorpe, Stuart C
2015-04-07
We show that a single change in the derivation of the linearized semiclassical-initial value representation (LSC-IVR or "classical Wigner approximation") results in a classical dynamics which conserves the quantum Boltzmann distribution. We rederive the (standard) LSC-IVR approach by writing the (exact) quantum time-correlation function in terms of the normal modes of a free ring-polymer (i.e., a discrete imaginary-time Feynman path), taking the limit that the number of polymer beads N → ∞, such that the lowest normal-mode frequencies take their "Matsubara" values. The change we propose is to truncate the quantum Liouvillian, not explicitly in powers of ħ(2) at ħ(0) (which gives back the standard LSC-IVR approximation), but in the normal-mode derivatives corresponding to the lowest Matsubara frequencies. The resulting "Matsubara" dynamics is inherently classical (since all terms O(ħ(2)) disappear from the Matsubara Liouvillian in the limit N → ∞) and conserves the quantum Boltzmann distribution because the Matsubara Hamiltonian is symmetric with respect to imaginary-time translation. Numerical tests show that the Matsubara approximation to the quantum time-correlation function converges with respect to the number of modes and gives better agreement than LSC-IVR with the exact quantum result. Matsubara dynamics is too computationally expensive to be applied to complex systems, but its further approximation may lead to practical methods.
The equilibrium tide in stars and giant planets. I. The coplanar case
NASA Astrophysics Data System (ADS)
Remus, F.; Mathis, S.; Zahn, J.-P.
2012-08-01
Context. Since 1995, more than 500 extrasolar planets have been discovered orbiting very close to their parent star, where they experience strong tidal interactions. Their orbital evolution depends on the physical mechanisms that cause tidal dissipation, which remain poorly understood. Aims: We refine the theory of the equilibrium tide in fluid bodies that are partly or entirely convective, to predict the dynamical evolution of the systems. In particular, we examine the validity of modeling the tidal dissipation using the quality factor Q, which is commonly done. We consider here the simplest case where the considered star or planet rotates uniformly, all spins are aligned, and the companion is reduced to a point mass. Methods: We expand the tidal potential as a Fourier series, and express the hydrodynamical equations in the reference frame, which rotates with the corresponding Fourier component. The results are cast in the form of a complex disturbing function, which may be implemented directly in the equations governing the dynamical evolution of the system. Results: The first manifestation of the tide is to distort the shape of the star or planet adiabatically along the line of centers. This generates the divergence-free velocity field of the adiabatic equilibrium tide, which is stationary in the frame rotating with the considered Fourier component of the tidal potential; this large-scale velocity field is decoupled from the dynamical tide. The tidal kinetic energy is dissipated into heat by means of turbulent friction, which is modeled here as an eddy-viscosity acting on the adiabatic tidal flow. This dissipation induces a second velocity field, the dissipative equilibrium tide, which is in quadrature with the exciting potential; this field is responsible for the imaginary part of the disturbing function, which is implemented in the dynamical evolution equations, from which one derives the characteristic evolutionary times. Conclusions: The rate at which the system evolves depends on the physical properties of the tidal dissipation, and specifically on both how the eddy viscosity varies with tidal frequency and the thickness of the convective envelope for the fluid equilibrium tide. At low frequency, this tide is retarded by a constant time delay, whereas it lags behind by a constant angle when the tidal frequency exceeds the convective turnover rate.
First measurements of the index of refraction of gases for lithium atomic waves.
Jacquey, M; Büchner, M; Trénec, G; Vigué, J
2007-06-15
We report the first measurements of the index of refraction of gases for lithium waves. Using an atom interferometer, we have measured the real and imaginary parts of the index of refraction n for argon, krypton, and xenon as a function of the gas density for several velocities of the lithium beam. The linear dependence of (n-1) with the gas density is well verified. The total collision cross section deduced from the imaginary part of (n-1) is in very good agreement with traditional measurements of this quantity. Finally, the real and imaginary parts of (n-1) and their ratio rho exhibit glory oscillations, in good agreement with calculations.
Coherent perfect absorber and laser modes in purely imaginary metamaterials
NASA Astrophysics Data System (ADS)
Fu, Yangyang; Cao, Yanyan; Cummer, Steven A.; Xu, Yadong; Chen, Huanyang
2017-10-01
Conjugate metamaterials, in which the permittivity and the permeability are complex conjugates of each other, possess the elements of loss and gain simultaneously. By employing a conjugate metamaterial with a purely imaginary form, we propose a mechanism for realizing both coherent perfect absorber (CPA) and laser modes. Moreover, the general conditions for obtaining CPA and laser modes, including obtaining them simultaneously, are revealed by analyzing the wave scattering properties of a slab made of purely imaginary metamaterials (PIMs). Specifically, in a PIM slab with a subunity effective refractive index, the CPA mode can be simplified as a perfect absorption mode and the incident wave from one side could be perfectly absorbed.
NASA Technical Reports Server (NTRS)
Sinyuk, Alexander; Torres, Omar; Dubovik, Oleg; Bhartia, P. K. (Technical Monitor)
2002-01-01
We present a method for retrieval of the imaginary part of refractive index of desert dust aerosol in the near UV part of spectrum. The method uses Total Ozone Mapping Spectrometer (TOMS) measurements of the top of the atmosphere radiances at 331 and 360 run and aerosol optical depth provided by the Aerosol Robotic Network (AERONET). Obtained values of imaginary part of refractive index retrieved for Saharan dust aerosol at 360 nm are significantly lower than previously reported values. The average retrieved values vary between 0.0054 and 0.0066 for different geographical locations. Our findings are in good agreement with the results of several recent investigations.
Imaginary "Geographies" of Childhood: School Library Media Centers as Secret Spaces
ERIC Educational Resources Information Center
Sturm, Brian W.
2008-01-01
Secret spaces serve as mirrors in which children can explore themselves and play with identities, while at the same time they act as windows to the real world through which children develop an understanding of social interactions and societal norms and expectations. The understanding of secret spaces has important implications for the physical…
In Search of Happier Times: Horton Foote's "The Trip to Bountiful."
ERIC Educational Resources Information Center
Novak, Glenn D.
1986-01-01
Horton Foote was among the television writers who helped make NBC's "Television Playhouse" the most popular live dramatic program on the air during the "Golden Age" of television drama, the period between 1952 and 1957. Foote felt a strong affinity for the land and people of his youth, and modeled the imaginary towns of…
Borderlands or Enclosures?: Technology, the University, and Cultural Studies
ERIC Educational Resources Information Center
Goggin, Gerard
2012-01-01
Technology plays a leading role in how media is imagined, and so how one feels about, understands, and participates in contemporary culture. At the same time, technology is key to the local and global imaginaries of the university. The role of technology in the university is now profound, and indeed has gained in complexity and ambiguity with…
4D Sommerfeld quantization of the complex extended charge
NASA Astrophysics Data System (ADS)
Bulyzhenkov, Igor E.
2017-12-01
Gravitational fields and accelerations cannot change quantized magnetic flux in closed line contours due to flat 3D section of curved 4D space-time-matter. The relativistic Bohr-Sommerfeld quantization of the imaginary charge reveals an electric analog of the Compton length, which can introduce quantitatively the fine structure constant and the Plank length.
ERIC Educational Resources Information Center
Rahm, Jrene
2012-01-01
Temporal and spatial configurations that constitute learning and identity work across practices have been little explored in studies of science literacy development. Grounded in multi-sited ethnography, this paper explores diverse girls' engagement with and identity work in science locally, inside a newsletter activity in an afterschool programme…
Complex-time singularity and locality estimates for quantum lattice systems
DOE Office of Scientific and Technical Information (OSTI.GOV)
Bouch, Gabriel
2015-12-15
We present and prove a well-known locality bound for the complex-time dynamics of a general class of one-dimensional quantum spin systems. Then we discuss how one might hope to extend this same procedure to higher dimensions using ideas related to the Eden growth process and lattice trees. Finally, we demonstrate with a specific family of lattice trees in the plane why this approach breaks down in dimensions greater than one and prove that there exist interactions for which the complex-time dynamics blows-up in finite imaginary time. .
Imaginaries of "Europe" in the Governmentality of PhD Education
ERIC Educational Resources Information Center
Bergviken Rensfeldt, Annika
2014-01-01
This article examines the recent European governing of PhD education by describing and destabilizing how Europe, as a social construct, is inscribed in the governing in multiple ways. Conceptually, it aligns with post-Foucauldian research interests in imaginaries of societies, subjectivities, and politics of knowledge. Based on European policies…
Diffractive Pedagogies: Dancing across New Materialist Imaginaries
ERIC Educational Resources Information Center
Hickey-Moody, Anna; Palmer, Helen; Sayers, Esther
2016-01-01
We theorise an interdisciplinary arts practice university course and consider the forms of educational imaginary challenged by our curriculum. We argue for the disruptive and generative potential of what we call diffractive pedagogy as an example of the type of learning that can take place when materiality and entanglement are considered as vital…
Narrative, Imaginary Play, Art, and Self: Intersecting Worlds
ERIC Educational Resources Information Center
Ahn, Jiryung; Filipenko, Margot
2007-01-01
This study documented the ways in which the spontaneous narratives of a focus group of young children reflected the ways in which these children constructed meaning about their world and their place in it. Participants were six kindergartners who engaged in extended episodes of imaginary, dramatic play and produced complex descriptive narratives…
Imaginary Worlds in Middle Childhood: A Qualitative Study of Two Pairs of Coordinated Paracosms
ERIC Educational Resources Information Center
Taylor, Marjorie; Mottweiler, Candice M.; Naylor, Emilee R.; Levernier, Jacob G.
2015-01-01
Imagining alternatives to actual experiences is an important part of everyday life that can take many forms. One manifestation in middle childhood is the creation of elaborate imaginary worlds, called "paracosms." Retrospective reports of adults indicate that having a childhood paracosm is more commonly reported in individuals…
The Community College and a Rising Global Imaginary: An Analysis of Practical Reasoning, 1950-2013
ERIC Educational Resources Information Center
Ayers, David F.; Palmadessa, Allison L.
2015-01-01
Through an analysis of 245 issues of the "Community College Journal" published between 1950 and 2013, we show how three discourses--international understanding and geopolitics, economic competitiveness, and global citizenship--informed practical reasoning about a rising global imaginary and its implications for the community college. By…
Just Imaginary: Delimiting Social Inclusion in Higher Education
ERIC Educational Resources Information Center
Gale, Trevor; Hodge, Steven
2014-01-01
This paper explores the notion of a "just imaginary" for social inclusion in higher education. It responds to the current strategy of OECD nations to expand higher education and increase graduate numbers, as a way of securing a competitive advantage in the global knowledge economy. The Australian higher education system provides the case…
Kindergartners' Performance in Two Types of Imaginary Perspective-Taking
ERIC Educational Resources Information Center
van den Heuvel-Panhuizen, Marja; Elia, Iliada; Robitzsch, Alexander
2015-01-01
This study aimed at gaining further understanding of kindergartners' performance in imaginary perspective-taking (IPT) by examining whether they can imagine "what" is visible from a particular point of view (IPT type 1: visibility) and "how" an object or scene will look from a particular point of view (IPT type 2: appearance).…
Imaginary Companions, Theory of Mind and Emotion Understanding in Young Children
ERIC Educational Resources Information Center
Giménez-Dasí, Marta; Pons, Francisco; Bender, Patrick K.
2016-01-01
The phenomenon of imaginary companions (ICs) has received little attention in developmental psychology, even though it can be observed in approximately 25% of preschool-aged children. Only a few studies have investigated the effect of ICs on children's theory of mind and emotion understanding, and the results are partial or inconsistent. This…
Utopian Scenario Sketching: An Imaginal Pedagogy for Life Giving Civilisation
ERIC Educational Resources Information Center
Willis, Peter
2011-01-01
This paper argues that learning for human flourishing needs a balance between small-scale, convivial experiences, imaginary and creative expression, logical, rational planning and autonomous, purposive practices. It is the second one--imaginary and creative expression--which is particularly of interest in this paper. The focus is on the capacity…
Contagious Ideas: Vulnerability, Epistemic Injustice and Counter-Terrorism in Education
ERIC Educational Resources Information Center
O'Donnell, Aislinn
2018-01-01
The article addresses the implications of Prevent and Channel for epistemic justice. The first section outlines the background of Prevent. It draws upon Moira Gatens and Genevieve Lloyd's concept of the collective imaginary, alongside Lorraine Code's concept of epistemologies of mastery, in order to outline some of the images and imaginaries that…
Adolescent egocentrism and indoor tanning: is the relationship direct or mediated?
Banerjee, Smita C.; Greene, Kathryn; Yanovitzky, Itzhak; Bagdasarov, Zhanna; Choi, Soe Yoon; Magsamen-Conrad, Kate
2016-01-01
This paper explored how imaginary audience and personal fable ideations contribute to adolescent indoor tanning intentions directly and indirectly through the way they shape pro-tanning attitude and association with peers who use tanning beds. Five hundred and ninety-five male (n = 207) and female (n = 387) adolescents, ranging in age from 11 to 19 (M = 16.87; SD = 1.34) years completed a cross-sectional survey. Measures included imaginary audience, personal fable (three dimensions: invulnerability, uniqueness, and omnipotence), pro-tanning attitude, association with peers who use tanning beds, and tanning bed use intentions. Bootstrapping analyses documented that imaginary audience ideations are indirectly associated with indoor tanning intentions through the mediation of pro-tanning attitude and association with peers who use tanning beds. Of the personal fable ideations, only invulnerability ideation is indirectly associated with indoor tanning intentions through the mediation of association with peers who use tanning beds. Design and evaluation of interventions and campaigns to reduce indoor tanning must be targeted to adolescents varying in imaginary audience ideations differently. PMID:28042281
Smallman, Melanie
2017-05-01
Over the past 10 years, numerous public debates on new and emerging science and technologies have taken place in the United Kingdom. In this article, we characterise the discourses emerging from these debates and compare them to the discourses in analogous expert scientific and policy reports. We find that while the public is broadly supportive of new scientific developments, they see the risks and social and ethical issues associated with them as unpredictable but inherent parts of the developments. In contrast, the scientific experts and policymakers see risks and social and ethical issues as manageable and quantifiable with more research and knowledge. We argue that these differences amount to two different sociotechnical imaginaries or views of science and how it shapes our world - an elite imaginary of 'science to the rescue' shared by scientists and policymakers and public counter-imaginary of 'contingent progress'. We argue that these two imaginaries indicate that, but also help explain why, public dialogue has had limited impact on public policy.
NASA Astrophysics Data System (ADS)
Salvaris, Mathew; Sepulveda, Francisco
2010-10-01
Brain-computer interfaces (BCIs) rely on various electroencephalography methodologies that allow the user to convey their desired control to the machine. Common approaches include the use of event-related potentials (ERPs) such as the P300 and modulation of the beta and mu rhythms. All of these methods have their benefits and drawbacks. In this paper, three different selective attention tasks were tested in conjunction with a P300-based protocol (i.e. the standard counting of target stimuli as well as the conduction of real and imaginary movements in sync with the target stimuli). The three tasks were performed by a total of 10 participants, with the majority (7 out of 10) of the participants having never before participated in imaginary movement BCI experiments. Channels and methods used were optimized for the P300 ERP and no sensory-motor rhythms were explicitly used. The classifier used was a simple Fisher's linear discriminant. Results were encouraging, showing that on average the imaginary movement achieved a P300 versus No-P300 classification accuracy of 84.53%. In comparison, mental counting, the standard selective attention task used in previous studies, achieved 78.9% and real movement 90.3%. Furthermore, multiple trial classification results were recorded and compared, with real movement reaching 99.5% accuracy after four trials (12.8 s), imaginary movement reaching 99.5% accuracy after five trials (16 s) and counting reaching 98.2% accuracy after ten trials (32 s).
Salvaris, Mathew; Sepulveda, Francisco
2010-10-01
Brain-computer interfaces (BCIs) rely on various electroencephalography methodologies that allow the user to convey their desired control to the machine. Common approaches include the use of event-related potentials (ERPs) such as the P300 and modulation of the beta and mu rhythms. All of these methods have their benefits and drawbacks. In this paper, three different selective attention tasks were tested in conjunction with a P300-based protocol (i.e. the standard counting of target stimuli as well as the conduction of real and imaginary movements in sync with the target stimuli). The three tasks were performed by a total of 10 participants, with the majority (7 out of 10) of the participants having never before participated in imaginary movement BCI experiments. Channels and methods used were optimized for the P300 ERP and no sensory-motor rhythms were explicitly used. The classifier used was a simple Fisher's linear discriminant. Results were encouraging, showing that on average the imaginary movement achieved a P300 versus No-P300 classification accuracy of 84.53%. In comparison, mental counting, the standard selective attention task used in previous studies, achieved 78.9% and real movement 90.3%. Furthermore, multiple trial classification results were recorded and compared, with real movement reaching 99.5% accuracy after four trials (12.8 s), imaginary movement reaching 99.5% accuracy after five trials (16 s) and counting reaching 98.2% accuracy after ten trials (32 s).
Sasaki, Akira; Kojo, Masashi; Hirose, Kikuji; Goto, Hidekazu
2011-11-02
The path-integral renormalization group and direct energy minimization method of practical first-principles electronic structure calculations for multi-body systems within the framework of the real-space finite-difference scheme are introduced. These two methods can handle higher dimensional systems with consideration of the correlation effect. Furthermore, they can be easily extended to the multicomponent quantum systems which contain more than two kinds of quantum particles. The key to the present methods is employing linear combinations of nonorthogonal Slater determinants (SDs) as multi-body wavefunctions. As one of the noticeable results, the same accuracy as the variational Monte Carlo method is achieved with a few SDs. This enables us to study the entire ground state consisting of electrons and nuclei without the need to use the Born-Oppenheimer approximation. Recent activities on methodological developments aiming towards practical calculations such as the implementation of auxiliary field for Coulombic interaction, the treatment of the kinetic operator in imaginary-time evolutions, the time-saving double-grid technique for bare-Coulomb atomic potentials and the optimization scheme for minimizing the total-energy functional are also introduced. As test examples, the total energy of the hydrogen molecule, the atomic configuration of the methylene and the electronic structures of two-dimensional quantum dots are calculated, and the accuracy, availability and possibility of the present methods are demonstrated.
Working in the real and the imaginary.
Théry, Manuel
2014-11-01
The science we practice is shaped by our interactions with people; the enthusiastic teachers, the fascinating mentors, the inspiring colleagues, and the inquisitive students. The science we enjoy takes us into areas we couldn't have anticipated. From time to time, we come back to reality and try to find ways to share our new explorations with our friends and relatives and to convert our insights into collective progress. What could be a better job? © 2014 Théry.
Closed Timelike Curves in (2+1)-AdS Gravity
NASA Astrophysics Data System (ADS)
Valtancoli, P.
We build the (2+1)-AdS gravity generalization of the Gott time machine using a first-order formalism for solving the scattering of point sources. The two-body dynamics is solved by two invariant masses, whose difference is simply related to the total angular momentum of the system. We show how to build a time machine when at least one of the two invariant masses is no more real but acquires an imaginary part.
Jeyabalan, Vickneswaran; Samraj, Andrews; Loo, Chu Kiong
2010-10-01
Aiming at the implementation of brain-machine interfaces (BMI) for the aid of disabled people, this paper presents a system design for real-time communication between the BMI and programmable logic controllers (PLCs) to control an electrical actuator that could be used in devices to help the disabled. Motor imaginary signals extracted from the brain’s motor cortex using an electroencephalogram (EEG) were used as a control signal. The EEG signals were pre-processed by means of adaptive recursive band-pass filtrations (ARBF) and classified using simplified fuzzy adaptive resonance theory mapping (ARTMAP) in which the classified signals are then translated into control signals used for machine control via the PLC. A real-time test system was designed using MATLAB for signal processing, KEP-Ware V4 OLE for process control (OPC), a wireless local area network router, an Omron Sysmac CPM1 PLC and a 5 V/0.3A motor. This paper explains the signal processing techniques, the PLC's hardware configuration, OPC configuration and real-time data exchange between MATLAB and PLC using the MATLAB OPC toolbox. The test results indicate that the function of exchanging real-time data can be attained between the BMI and PLC through OPC server and proves that it is an effective and feasible method to be applied to devices such as wheelchairs or electronic equipment.
ERIC Educational Resources Information Center
Parker, Franklin; Parker, Betty
This paper presents an imaginary conversation between an interviewer and the novelist, James Michener (1907-1997). Starting with Michener's early life experiences in Doylestown (Pennsylvania), the conversation includes his family's poverty, his wanderings across the United States, and his reading at the local public library. The dialogue includes…
Imaginary Companions and Impersonated Characters: Sex Differences in Children's Fantasy Play
ERIC Educational Resources Information Center
Carlson, Stephanie M.; Taylor, Marjorie
2005-01-01
We compared the incidence of imaginary companions and impersonated characters in 152 three and four year old children (75 males and 77 females). Children and their parents were interviewed about role play in two sessions. Although there were no sex differences in verbal ability or fantasy predisposition, there was a significant difference in the…
ERIC Educational Resources Information Center
Firth, Lucy; Alderson-Day, Ben; Woods, Natalie; Fernyhough, Charles
2015-01-01
The presence of a childhood imaginary companion (IC) has been proposed to reflect heightened imaginative abilities. This study hypothesized that adults who reported having a childhood IC would score higher on a task requiring the imaginative construction of visual scenes. Additionally, it was proposed that individuals who produced more vivid and…
14 CFR 77.25 - Civil airport imaginary surfaces.
Code of Federal Regulations, 2011 CFR
2011-01-01
... relation to the airport and to each runway. The size of each such imaginary surface is based on the... feet above the established airport elevation, the perimeter of which is constructed by swinging arcs of... connecting the adjacent arcs by lines tangent to those arcs. The radius of each arc is: (1) 5,000 feet for...
The Affective Imaginary: Students as Affective Consumers of Risk
ERIC Educational Resources Information Center
Lolich, Luciana; Lynch, Kathleen
2016-01-01
This paper examines the purpose of higher education (HE) for students in Ireland in the context of the dominant narrative of the knowledge-based economy (KBE). It argues that the KBE is one of the most recent of economic imaginaries devised by governments to manage the population [Hay, S., & Kaptizke, C. (2009). "Smart" state for a…
(Re)Bordering the Civic Imaginary: Rhetoric, Hybridity, and Citizenship in "La Gran Marcha"
ERIC Educational Resources Information Center
Cisneros, Josue David
2011-01-01
Though the drive to limit US citizenship often takes shape through the symbolic and material exclusion of "aliens," immigrants also engage in rhetorical struggles over the limits of the US civic imaginary. This essay examines one such challenge to the bordering logics of US citizenship--"La Gran Marcha", one of the largest…
Global Education Inc.: New Policy Networks and the Neoliberal Imaginary
ERIC Educational Resources Information Center
Ball, Stephen J.
2012-01-01
Do private and philanthropic solutions to the problems of education signal the end of state education in its "welfare" form? Education policy is being reformed and re-worked on a global scale. Policies are flowing and converging to produce a singular vision of "best practice" based on the methods and tenets of the "neo-liberal imaginary".…
ERIC Educational Resources Information Center
Medina, Carmen L.; Wohlwend, Karen E.
2014-01-01
This book takes on current perspectives on children's relationships to literacy, media, childhood, markets and transtionalism in converging global worlds. It introduces the idea of multi-sited imaginaries to explain how children's media and literacy performances shape and are shaped by shared visions of communities that we collectively imagine,…
ERIC Educational Resources Information Center
Phillips, Shelley
This description of the development of imagination and fantasy in children outlines how children view their fantasies, imaginings, imaginary companions, and lies at different stages of development. Main topics include (1) the purposes of fantasy; (2) fantasy in preschool children; (3) imaginative games and dramas; (4) promotion or inhibition of…
Frequency-domain ultrasound waveform tomography breast attenuation imaging
NASA Astrophysics Data System (ADS)
Sandhu, Gursharan Yash Singh; Li, Cuiping; Roy, Olivier; West, Erik; Montgomery, Katelyn; Boone, Michael; Duric, Neb
2016-04-01
Ultrasound waveform tomography techniques have shown promising results for the visualization and characterization of breast disease. By using frequency-domain waveform tomography techniques and a gradient descent algorithm, we have previously reconstructed the sound speed distributions of breasts of varying densities with different types of breast disease including benign and malignant lesions. By allowing the sound speed to have an imaginary component, we can model the intrinsic attenuation of a medium. We can similarly recover the imaginary component of the velocity and thus the attenuation. In this paper, we will briefly review ultrasound waveform tomography techniques, discuss attenuation and its relations to the imaginary component of the sound speed, and provide both numerical and ex vivo examples of waveform tomography attenuation reconstructions.
The social reality of the imaginary audience: a grounded theory approach.
Bell, Joanna H; Bromnick, Rachel D
2003-01-01
Traditional approaches to understanding the imaginary audience are challenged in this study. Three hundred sixty-one British schoolchildren (aged 14 and 15 years) were asked to express their worries and concerns, using grounded theory methodology. Qualitative responses were collated and coded according to emerging categories, with "what other people think" identified as the central concern. In particular, the findings are used to critique Elkind's (1967) theory of adolescent egocentrism. Data presented in this study suggest that adolescents worry about what other people think because there are real personal and social consequences. Such concerns are seen as being based in social reality and are not imaginary as Elkind suggested. In conclusion, new methodologies which place young people at the center of the analysis are advocated.
A new model for the spectral induced polarization signature of bacterial growth in porous media
NASA Astrophysics Data System (ADS)
Zhang, C.; Revil, A.; Atekwana, E. A.; Jardani, A.; Smith, S.
2012-12-01
Recent biogeophysics studies demonstrated the sensitivity of complex conductivity to bacterial growth and microbial mediated mineral transformations in porous media. Frequency-domain induced polarization is a minimally invasive manner to measure the complex conductivity of a material over a broad range of frequencies. The real component of complex conductivity is associated with electromigration of the charge carriers, and the imaginary component represents reversible energy storage of charge carriers at polarization length scales. Quantitative relationship between frequency-domain induced polarization responses and bacterial growth and decay in porous media is analyzed in this study using a new developed model. We focus on the direct contribution of bacteria themselves to the complex conductivity in porous media in the absence of biomineralization. At low frequencies, the induced polarization of bacteria (α-polarization) is related to the properties of the electrical double layer surrounding the membrane surface of bacteria. Surface conductivity and α-polarization are due to the Stern layer of the counterions occurring in a brush of polymers coating the surface of the bacteria, and can be related to the cation exchange capacity of the bacteria. From the modeling results, at low frequencies (< 10 Hz), the mobility of the counterions (K+) in the Stern layer of bacteria is found to be extremely small (4.7×10-10 m2s-1 V-1 at 25°C), and is close to the mobility of the same counterions along the surface of clay minerals (Na+, 1.5×10-10 m2s-1 V-1 at 25°C). This result is in agreement with experimental observations and it indicates a very low relaxation frequency for the α-polarization of the bacteria cells (typically around 0.1 to 5 Hertz). By coupling this new model with reactive transport modeling in which the evolution of bacterial populations are usually described by Monod kinetics, we show that the changes in imaginary conductivity with time can be used to determine bacterial growth kinetics parameters such as the growth and endogenous decay coefficient.
Concerning the Spiritual in Art and Its Education: Postmodern-Romanticism and Its Discontents
ERIC Educational Resources Information Center
Jagodzinski, Jan
2013-01-01
This commentary addresses the holistic-spiritualistic movement in art and its education. In many respects it may be for naught, but questions should be raised in a time of ecological terrorism and climate breakdown of a dying Earth. Belief as opposed to knowledge is always a question of ideology--that is, the "imaginary relationship" of…
The Aesthetic Experience in the Process of Recovery from Autistic States
ERIC Educational Resources Information Center
Adamo, Simonetta M. G.
2012-01-01
The paper describes the conclusive phase of the psychotherapy of a young man who suffered from Asperger's syndrome. The patient had been referred as an adolescent, at which time he was very isolated and spent most of his life in the company of countless imaginary friends that were quasi-delusional constructs. After several years of therapy, the…
What Did Kramers and Kronig Do and How Did They Do It?
ERIC Educational Resources Information Center
Bohren, Craig F.
2010-01-01
Over time the account of how the Kramers-Kronig (dispersion) relations between the real and imaginary parts of response functions were derived in 1926 and 1927 has been transmogrified into anecdotes about what might have been done but was not. Although Kramers obtained both members of a pair of relations, Kronig obtained only one. Both authors…
ERIC Educational Resources Information Center
McLeod, Julie
2017-01-01
This article explores how temporality and temporal regimes might be engaged in qualitative research in the sociology of education, proposing that such questions matter in relation to how research is done, not only to the topics and themes researched. The article shows how temporality enters into research designs, practices and imaginaries, arguing…
Gauge-invariant effective potential: Equilibrium and nonequilibrium aspects
DOE Office of Scientific and Technical Information (OSTI.GOV)
Boyanovsky, D.; Brahm, D.; Holman, R.
1996-07-01
We propose a gauge-invariant formulation of the effective potential in terms of a gauge-invariant order parameter, for the Abelian Higgs model. The one-loop contribution at zero and finite temperature is computed explicitly, and the leading terms in the high temperature expansion are obtained. The result is contrasted with the effective potential obtained in several covariant gauge-fixing schemes, and the gauge-invariant quantities that can be reliably extracted from these are identified. It is pointed out that the gauge-invariant effective potential in the one-loop approximation is complex for {ital all} {ital values} of the order parameter between the maximum and the minimummore » of the tree level potential, both at zero and nonzero temperatures. The imaginary part is related to long-wavelength instabilities towards phase separation. We study the real-time dynamics of initial states in the spinodal region, and relate the imaginary part of the effective potential to the growth rate of equal-time gauge-invariant correlation functions in these states. We conjecture that the spinodal instabilities may play a role in nonequilibrium processes {ital inside} the nucleating bubbles if the transition is first order. {copyright} {ital 1996 The American Physical Society.}« less
Cluster states and container picture in light nuclei, and triple-alpha reaction rate
NASA Astrophysics Data System (ADS)
Funaki, Yasuro
2015-04-01
The excited states in 12C are investigated by using an extended version of the so- called Tohsaki-Horiuchi-Schuck-Röpke (THSR) wave function, where both the 3α condensate and 8Be + α cluster asymptotic configurations are included. We focus on the structures of the “Hoyle band” states, 2+2, and 4+2 states, which are recently observed above the Hoyle state, and of the 0+3 and 0+4 states, which are also quite recently identified in experiment. We show that the Hoyle band is not simply considered to be the 8Be(0+) + α rotation as suggested by previous cluster model calculations, nor to be a rotation of a rigid-body triangle-shaped object composed of the 3α particles. We also discuss the rate of the triple-alpha radiative capture reaction, applyng the imaginary-time method. Results of the triple-alpha reaction rate are consistent with NACRE rate for both high (≈ 109K) and low (≈ 107 K) temperatures. We show that the rate of the imaginary-time calculation in coupled-channels approach has a large enhancement for low temperatures if we truncate the number of channels.
NASA Astrophysics Data System (ADS)
Klimchitskaya, G. L.; Mostepanenko, V. M.; Petrov, V. M.
2017-12-01
The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taking into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed via the components of the polarization tensor in (2+1)-dimensional space-time analytically continued to the real frequency axis. Simple analytic expressions for both the real and imaginary parts of the conductivity of graphene are obtained at zero and nonzero temperature. They demonstrate an interesting interplay depending on the values of mass gap and chemical potential. In the local limit, several results obtained earlier using various approximate and phenomenological approaches are reproduced, refined, and generalized. The numerical computations of both the real and imaginary parts of the conductivity of graphene are performed to illustrate the obtained results. The analytic expressions for the conductivity of graphene obtained in this paper can serve as a guide in the comparison between different theoretical approaches and between experiment and theory.
Wave-field decay rate estimate from the wavenumber-frequency spectra
NASA Astrophysics Data System (ADS)
Comisel, H.; Narita, Y.; Voros, Z.
2017-12-01
Observational data for wave or turbulent fields are conveniently analyzed and interpreted in the Fourier domain spanning the frequencies and the wavenumbers. If a wave field has not only oscillatory components (characterized by real parts of frequency) but also temporally decaying components (characterized by imaginary parts of frequency), the energy spectrum shows a frequency broadening around the peak due to the imaginary parts of frequency (or the decay rate). The mechanism of the frequency broadening is the same as that of the Breit-Wigner spectrum in nuclear resonance phenomena. We show that the decay rate can observationally and directly be estimated once multi-point data are available, and apply the method to Cluster four-point magnetometer data in the solar wind on a spatial scale of about 1000 km. The estimated decay rate is larger than the eddy turnover time, indicating that the decay profile of solar wind turbulence is more plasma physical such as excitation of whistler waves and other modes rather than hydrodynamic turbulence behavior.
NASA Astrophysics Data System (ADS)
Phillips, Jordan J.; Zgid, Dominika
2014-06-01
We report an implementation of self-consistent Green's function many-body theory within a second-order approximation (GF2) for application with molecular systems. This is done by iterative solution of the Dyson equation expressed in matrix form in an atomic orbital basis, where the Green's function and self-energy are built on the imaginary frequency and imaginary time domain, respectively, and fast Fourier transform is used to efficiently transform these quantities as needed. We apply this method to several archetypical examples of strong correlation, such as a H32 finite lattice that displays a highly multireference electronic ground state even at equilibrium lattice spacing. In all cases, GF2 gives a physically meaningful description of the metal to insulator transition in these systems, without resorting to spin-symmetry breaking. Our results show that self-consistent Green's function many-body theory offers a viable route to describing strong correlations while remaining within a computationally tractable single-particle formalism.
Factor Structure of the New Imaginary Audience Scale in a Sample of Female College Students
ERIC Educational Resources Information Center
Kuterbach, James M.
2007-01-01
The New Imaginary Audience Scale (NIAS; Lapsley, FitzGerald, Rice, & Jackson, 1989) has been used as a research tool with both high school and college aged samples, yet there is no structural validity evidence for its use with college students. This study examined the structural validity of the NIAS via an exploratory factor analysis, using a…
Scaring the Monster Away: What Children Know about Managing Fears of Real and Imaginary Creatures
ERIC Educational Resources Information Center
Sayfan, Liat; Lagattuta, Kristin Hansen
2009-01-01
Children around 4, 5, and 7 years old (N = 48) listened to scenarios depicting a child alone or accompanied by another person (mother, father, friend) who encounters an entity that looks like a real or an imaginary fear-inducing creature. Participants predicted and explained each protagonist's fear intensity and suggested coping strategies.…
The Curriculum Debate: Why It Is Important Today. IBE Working Papers on Curriculum Issues No. 10
ERIC Educational Resources Information Center
Tedesco, Juan Carlos; Opertti, Renato; Amadio, Massimo
2013-01-01
The current debates on the purpose and role of education are linked to social imaginaries which should be convening and achievable. At the core of these imaginaries is the construction of a more just society. Increasingly, education is viewed as a necessary condition for such visions to be achievable. However, this situation is concomitant with…
ERIC Educational Resources Information Center
Poole, Deborah
2011-01-01
This article explores Vygtosky's (1978) notion of the imaginary situation through analysis of interaction and activity in a Fifth Dimension after-school setting, one of a network of programs designed with an aim to realize developmental concepts proposed by Vygotsky and others in the cultural-historical tradition (see, e.g., Cole & the…
Pedagogical Positioning in Play--Teachers Being inside and outside of Children's Imaginary Play
ERIC Educational Resources Information Center
Fleer, Marilyn
2015-01-01
Although there is a long tradition of play pedagogy in early childhood education, teachers have mostly taken a passive role in children's play. There are relatively few studies of the pedagogical roles adults take from inside of children's imaginary play. This paper seeks to fill this gap through presenting the findings of a study where the play…
ERIC Educational Resources Information Center
Welply, Oakleigh
2015-01-01
This article examines the role of global representations in immigrant-background children's social imaginaries in primary schools in France and England. Increased globalisation, mobility and migration hold strong implications in terms of identity and belonging for children from immigrant backgrounds in schools in European countries, based on…
A Classroom Exercise in Spatial Analysis Using an Imaginary Data Set.
ERIC Educational Resources Information Center
Kopaska-Merkel, David C.
One skill that elementary students need to acquire is the ability to analyze spatially distributed data. In this activity students are asked to complete the following tasks: (1) plot a set of data (related to "mud-sharks"--an imaginary fish) on a map of the state of Alabama, (2) identify trends in the data, (3) make graphs using the data…
ERIC Educational Resources Information Center
Davis, Paige E.; Meins, Elizabeth; Fernyhough, Charles
2014-01-01
Relations between having an imaginary companion (IC) and (i) descriptions of a real-life friend, (ii) theory of mind performance, and (iii) reported prosocial behaviour and behavioural difficulties were investigated in a sample of 5-year-olds (N?=?159). Children who had an IC were more likely than their peers without an IC to describe their best…
Ceccim, Ricardo Burg; Armani, Teresa Borgert; de Oliveira, Dora Lúcia Leidens Correa; Bilibio, Luiz Fernando; Moraes, Maurício; Santos, Naiane Dartora
2008-01-01
This paper is part of a research into the imaginaries present in the training of health professionals with respect to the regulation and exercise of their profession. The professions selected were medicine, odontology and psychology, for which emerging courses require evaluation by the National Health Council. The imaginaries were understood as operators of the virtual and the real with the potential of affirming or denying forms and contents in relation to being a professional or being in the profession. There was evidence for an imaginary of free exercise of the profession in the public sector on state level, where more experience with diseases and diversities of suffering would be gained. The ideal work place would be the private sector allowing for free choices for both professionals and users, but not without connection to the public sector for providing experience, study opportunities and the possibility of research scholarships and overseas training. Despite the expectations in relation to the private sector, currently there is no education in the field of supplementary care or about the meanings of the regulation proposed by the Brazilian Health System.
Fernando, Ranelka G; Balhoff, Mary C; Lopata, Kenneth
2015-02-10
Non-Hermitian real-time time-dependent density functional theory was used to compute the Si L-edge X-ray absorption spectrum of α-quartz using an embedded finite cluster model and atom-centered basis sets. Using tuned range-separated functionals and molecular orbital-based imaginary absorbing potentials, the excited states spanning the pre-edge to ∼20 eV above the ionization edge were obtained in good agreement with experimental data. This approach is generalizable to TDDFT studies of core-level spectroscopy and dynamics in a wide range of materials.
Calculating broad neutron resonances in a cut-off Woods-Saxon potential
NASA Astrophysics Data System (ADS)
Baran, Á.; Noszály, Cs.; Salamon, P.; Vertse, T.
2015-07-01
In a cut-off Woods-Saxon (CWS) potential with realistic depth S -matrix poles being far from the imaginary wave number axis form a sequence where the distances of the consecutive resonances are inversely proportional with the cut-off radius value, which is an unphysical parameter. Other poles lying closer to the imaginary wave number axis might have trajectories with irregular shapes as the depth of the potential increases. Poles being close repel each other, and their repulsion is responsible for the changes of the directions of the corresponding trajectories. The repulsion might cause that certain resonances become antibound and later resonances again when they collide on the imaginary axis. The interaction is extremely sensitive to the cut-off radius value, which is an apparent handicap of the CWS potential.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Rout, G. C., E-mail: siva1987@iopb.res.in, E-mail: skp@iopb.res.in, E-mail: gcr@iopb.res.in; Sahu, Sivabrata; Panda, S. K.
2016-04-13
We report here a microscopic tight-binding model calculation for AB-stacked bilayer graphene in presence of biasing potential between the two layers and the impurity effects to study the evolution of the total density of states with special emphasis on opening of band gap near Dirac point. We have calculated the electron Green’s functions for both the A and B sub-lattices by Zubarev technique. The imaginary part of the Green’s function gives the partial and total density of states of electrons. The density of states are computed numerically for 1000 × 1000 grid points of the electron momentum. The evolution ofmore » the opening of band gap near van-Hove singularities as well as near Dirac point is investigated by varying the different interlayer hoppings and the biasing potentials. The inter layer hopping splits the density of states at van-Hove singularities and produces a V-shaped gap near Dirac point. Further the biasing potential introduces a U shaped gap near Dirac point with a density minimum at the applied potential(i.e. at V/2).« less
International Aviation (Selected Articles)
1991-09-11
THE ANAYLYSIS OF DYNAMIC FORCES IN AVIATION STRUCTURES Following along with the development of test manufacturing projects for many types of aircraft...type water troughs. All the main equipment embodies automated measurement controls. It is capable of obtaining test data and curves in a real time...results from thousands of calculations, and decisions were made to select the imaginary origin point to act as the turbulence flow origination point
A simple method to measure critical angles for high-sensitivity differential refractometry.
Zilio, S C
2012-01-16
A total internal reflection-based differencial refractometer, capable of measuring the real and imaginary parts of the complex refractive index in real time, is presented. The device takes advantage of the phase difference acquired by s- and p-polarized light to generate an easily detectable minimum at the reflected profile. The method allows to sensitively measuring transparent and turbid liquid samples.
ERIC Educational Resources Information Center
Rahm, Jrène
2016-01-01
Marta Civil's paper "STEM Learning Research through a Funds of Knowledge Lens" (see EJ1091567) can be read as a story about her trajectory as a researcher of everyday and school mathematics over time, grounded in sociocultural historical theory. Building on her work, I explore three issues. First, I address the grounding of STEM research…
ERIC Educational Resources Information Center
Rock, Victoria, Ed.
Conceived as a twentieth anniversary tribute to the Reading Is Fundamental Program, this book contains a varied collection of stories, poems, and drawings by some of America's most famous authors and artists of books for children, relating real and imaginary childhood memories that celebrate the joys of reading and the magic of children's…
ERIC Educational Resources Information Center
Bouldin, Paula
2006-01-01
In this study, the author tested whether children with imaginary companions (ICs) have a different fantasy life than do children without ICs. To measure the fantasy life of the 74 children aged 3.2 to 8.7 years, the author modified the Children's Fantasy Interview (E. Rosenfeld, L. R. Huesmann, L. D. Eron, & J. V. Torney-Purta, 1982) to make…
ERIC Educational Resources Information Center
Hao, Yijun; Fleer, Marilyn
2017-01-01
Depending upon a cultural-historical perspective, where play is defined as the creation of an imaginary situation, this study seeks to examine whether and how family joint creation of imaginary situations can provide the conditions for a child's science learning in early childhood. The paper reported here forms part of a broader study, and the…
ERIC Educational Resources Information Center
Hao, Yijun; Fleer, Marilyn
2016-01-01
Based on a cultural-historical perspective, where play is conceptualized as the creation of an imaginary situation, the study reported in this paper examines how parent-child playful interactions create shared imaginary situations for mediating scientific learning. The main focus of this paper is to reveal sign-mediated learning process through…
Reboredo, Fernando A; Kim, Jeongnim
2014-02-21
A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo, J. Chem. Phys. 136, 204101 (2012)] and some ideas of the correlation function Monte Carlo approach [D. M. Ceperley and B. Bernu, J. Chem. Phys. 89, 6316 (1988)]. In order to allow the evolution in imaginary time to describe the density matrix, we remove the fixed-node restriction using complex antisymmetric guiding wave functions. In the process we obtain a parallel algorithm that optimizes a small subspace of the many-body Hilbert space to provide maximum overlap with the subspace spanned by the lowest-energy eigenstates of a many-body Hamiltonian. We show in a model system that the partition function is progressively maximized within this subspace. We show that the subspace spanned by the small basis systematically converges towards the subspace spanned by the lowest energy eigenstates. Possible applications of this method for calculating the thermodynamic properties of many-body systems near the ground state are discussed. The resulting basis can also be used to accelerate the calculation of the ground or excited states with quantum Monte Carlo.
NASA Astrophysics Data System (ADS)
Reboredo, Fernando A.; Kim, Jeongnim
2014-02-01
A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo, J. Chem. Phys. 136, 204101 (2012)] and some ideas of the correlation function Monte Carlo approach [D. M. Ceperley and B. Bernu, J. Chem. Phys. 89, 6316 (1988)]. In order to allow the evolution in imaginary time to describe the density matrix, we remove the fixed-node restriction using complex antisymmetric guiding wave functions. In the process we obtain a parallel algorithm that optimizes a small subspace of the many-body Hilbert space to provide maximum overlap with the subspace spanned by the lowest-energy eigenstates of a many-body Hamiltonian. We show in a model system that the partition function is progressively maximized within this subspace. We show that the subspace spanned by the small basis systematically converges towards the subspace spanned by the lowest energy eigenstates. Possible applications of this method for calculating the thermodynamic properties of many-body systems near the ground state are discussed. The resulting basis can also be used to accelerate the calculation of the ground or excited states with quantum Monte Carlo.
Recognition of neural brain activity patterns correlated with complex motor activity
NASA Astrophysics Data System (ADS)
Kurkin, Semen; Musatov, Vyacheslav Yu.; Runnova, Anastasia E.; Grubov, Vadim V.; Efremova, Tatyana Yu.; Zhuravlev, Maxim O.
2018-04-01
In this paper, based on the apparatus of artificial neural networks, a technique for recognizing and classifying patterns corresponding to imaginary movements on electroencephalograms (EEGs) obtained from a group of untrained subjects was developed. The works on the selection of the optimal type, topology, training algorithms and neural network parameters were carried out from the point of view of the most accurate and fast recognition and classification of patterns on multi-channel EEGs associated with the imagination of movements. The influence of the number and choice of the analyzed channels of a multichannel EEG on the quality of recognition of imaginary movements was also studied, and optimal configurations of electrode arrangements were obtained. The effect of pre-processing of EEG signals is analyzed from the point of view of improving the accuracy of recognition of imaginary movements.
NASA Astrophysics Data System (ADS)
Chen, Jiangwei; Dai, Yuyao; Yan, Lin; Zhao, Huimin
2018-04-01
In this paper, we shall demonstrate theoretically that steady bound electromagnetic eigenstate can arise in an infinite homogeneous isotropic linear metamaterial with zero-real-part-of-impedance and nonzero-imaginary-part-of-wave-vector, which is partly attributed to that, here, nonzero-imaginary-part-of-wave-vector is not involved with energy losses or gain. Altering value of real-part-of-impedance of the metamaterial, the bound electromagnetic eigenstate may become to be a progressive wave. Our work may be useful to further understand energy conversion and conservation properties of electromagnetic wave in the dispersive and absorptive medium and provides a feasible route to stop, store and release electromagnetic wave (light) conveniently by using metamaterial with near-zero-real-part-of-impedance.
Sarah Hitchner; John Schelhas; J. Peter Brosius
2017-01-01
Wood-based bioenergy in the US South is a key element in a sociotechnical imaginary that brings together rural development, energy independence, and environmental sustainability; it is also a key element in another imaginary in which powerful interest groups from the private sector and government collude in ways that enrich them regardless of success of the endeavor,...
Dynamic Fracture in Brittle Materials
2006-02-01
Stress analysis in oxidation problems usually follows the approach of introducing a known eigenstrain in the constitutive equation for elastic stress...deformation behavior in the oxide. The eigenstrain is assumed to be independent of time and position; it is the strain that would be observed in an...imaginary stress-free phase transformation. The total strain of the oxide is the sum of elastic strain and this eigenstrain . As shown in [13], the principal
Monte Carlo calculation of dynamical properties of the two-dimensional Hubbard model
NASA Technical Reports Server (NTRS)
White, S. R.; Scalapino, D. J.; Sugar, R. L.; Bickers, N. E.
1989-01-01
A new method is introduced for analytically continuing imaginary-time data from quantum Monte Carlo calculations to the real-frequency axis. The method is based on a least-squares-fitting procedure with constraints of positivity and smoothness on the real-frequency quantities. Results are shown for the single-particle spectral-weight function and density of states for the half-filled, two-dimensional Hubbard model.
ERIC Educational Resources Information Center
Hao, Yijun
2017-01-01
In a time when story-acting practices have gained increasing focus, little is known about the relations between family story acting and a child's interactions with the ideal models represented in stories. Drawing upon a cultural-historical perspective of play and development, this study is aimed at discovering how a child is able to interact with…
Theoretical study of the Raman active CDW gap mode in manganites.
Rout, G C; Panda, Saswati; Behera, S N
2010-09-22
We report here the microscopic theory of the Raman spectra of the colossal magnetoresistive (CMR) manganite systems. The system is described by a model Hamiltonian consisting of the double exchange interaction in addition to the charge ordering interaction in the e(g) band and spin-spin interaction among the t(2g) core electrons. Further the phonon coupling to the conduction electron density is incorporated in the model for phonons in the harmonic approximation. The spectral density function for the Raman spectra is calculated from the imaginary part of the phonon Green's function. The calculated spectra display the Raman active bare phonon peak along with the charge ordering peak. The magnetic field and temperature dependence of the charge ordering peak agrees with the 480 cm(-1) JT mode observed in the experiments. The evolution of this mode is investigated in the report.
Cosmopolitanism, geographical imaginaries and belonging in North London.
Devadason, Ranji
2010-01-01
Cosmopolitanism has been described as the cultural habitus of globalisation. It is therefore, albeit defined somewhat loosely, often associated with ethnically diverse, global cities. This paper considers the extent to which London engenders cosmopolitan values amongst its residents. It draws on survey data from the LOCAL MULTIDEM study of minorities' political participation to address these themes. The analysis examines perceptions of respect, belonging and geographical imaginaries - amongst established minorities and the ethnic majority - in north London. It is argued that cosmopolitan ethics are transformative and dialectical and, critically, cannot remain the preserve of the privileged in multi-ethnic neighbourhoods. The analysis presented demonstrates that a sense of belonging and cosmopolitan imaginaries are not evenly accessed by different ethnic groups; notably, that Bangladeshi Londoners who are born and bred in the city are less likely to appropriate these discourses than Caribbean, Indian or White residents.
Cendagorta, Joseph R; Bačić, Zlatko; Tuckerman, Mark E
2018-03-14
We introduce a scheme for approximating quantum time correlation functions numerically within the Feynman path integral formulation. Starting with the symmetrized version of the correlation function expressed as a discretized path integral, we introduce a change of integration variables often used in the derivation of trajectory-based semiclassical methods. In particular, we transform to sum and difference variables between forward and backward complex-time propagation paths. Once the transformation is performed, the potential energy is expanded in powers of the difference variables, which allows us to perform the integrals over these variables analytically. The manner in which this procedure is carried out results in an open-chain path integral (in the remaining sum variables) with a modified potential that is evaluated using imaginary-time path-integral sampling rather than requiring the generation of a large ensemble of trajectories. Consequently, any number of path integral sampling schemes can be employed to compute the remaining path integral, including Monte Carlo, path-integral molecular dynamics, or enhanced path-integral molecular dynamics. We believe that this approach constitutes a different perspective in semiclassical-type approximations to quantum time correlation functions. Importantly, we argue that our approximation can be systematically improved within a cumulant expansion formalism. We test this approximation on a set of one-dimensional problems that are commonly used to benchmark approximate quantum dynamical schemes. We show that the method is at least as accurate as the popular ring-polymer molecular dynamics technique and linearized semiclassical initial value representation for correlation functions of linear operators in most of these examples and improves the accuracy of correlation functions of nonlinear operators.
NASA Astrophysics Data System (ADS)
Cendagorta, Joseph R.; Bačić, Zlatko; Tuckerman, Mark E.
2018-03-01
We introduce a scheme for approximating quantum time correlation functions numerically within the Feynman path integral formulation. Starting with the symmetrized version of the correlation function expressed as a discretized path integral, we introduce a change of integration variables often used in the derivation of trajectory-based semiclassical methods. In particular, we transform to sum and difference variables between forward and backward complex-time propagation paths. Once the transformation is performed, the potential energy is expanded in powers of the difference variables, which allows us to perform the integrals over these variables analytically. The manner in which this procedure is carried out results in an open-chain path integral (in the remaining sum variables) with a modified potential that is evaluated using imaginary-time path-integral sampling rather than requiring the generation of a large ensemble of trajectories. Consequently, any number of path integral sampling schemes can be employed to compute the remaining path integral, including Monte Carlo, path-integral molecular dynamics, or enhanced path-integral molecular dynamics. We believe that this approach constitutes a different perspective in semiclassical-type approximations to quantum time correlation functions. Importantly, we argue that our approximation can be systematically improved within a cumulant expansion formalism. We test this approximation on a set of one-dimensional problems that are commonly used to benchmark approximate quantum dynamical schemes. We show that the method is at least as accurate as the popular ring-polymer molecular dynamics technique and linearized semiclassical initial value representation for correlation functions of linear operators in most of these examples and improves the accuracy of correlation functions of nonlinear operators.
[Immunodetection of bacteriophages by a piezoelectric resonator with lateral electric field].
Gulii, O I; Zaitsev, B D; Shikhabudinov, A M; Teplykh, A A; Borodina, I A; Pavlii, S A; Larionova, O S; Fomin, A S; Staroverov, S A; Dykman, L A; Ignatov, O V
2016-01-01
It has been demonstrated that electroacoustic analysis with polyclonal antibodies can be used for bacteriophage detection. The frequency dependences of the real and imaginary parts of electrical impedance of a resonator with a viral suspension with antibodies were shown to be essentially different from the dependences of a resonator with control viral suspension without antibodies. It was shown that ΦAl-Sp59b bacteriophages were detected with the use of antibodies in the presence of foreign virus particles. The ΦAl-Sp59b bacteriophage content in the analyzed suspension was ~1010–106 phages/mL; the time of analysis was no more than 5 min. The optimally informative parameter for obtaining reliable information was the change in the real or imaginary part of electrical impedance at a fixed frequency near the resonance upon the addition of specific antibodies to the analyzed suspension. It was demonstrated that the interaction between bacteriophages and antibodies can be recorded, offering good prospects for the development of a biological sensor for liquid-phase identification and virus detection.
Bose polaronic soliton-molecule and vector solitons in PT -symmetric potential
NASA Astrophysics Data System (ADS)
Boudjemâa, Abdelâali
2017-07-01
We study analytically and numerically the properties of polaronic soliton molecules and vector solitons of a trapped Bose-Einstein condensate (BEC)-impurity mixture subjected to a PT -symmetric potential in a quasi one-dimensional geometry employing our time-dependent Hartree-Fock-Bogoliubov equations. Analytical results, based on a variational approach and checked with direct numerical simulations reveal that the width, chirp, the vibration frequency and the profile of impurity solitons are enhanced by varying the strengths of real and imaginary parts of PT -symmetric potential as well as the boson-boson and boson-impurity interaction. We address the impact of the imaginary part of the potential, which represents a gain-loss mechanism, on the dynamics and on the stability of the impurity soliton-molecule. We show that for sufficiently strong complex part of the potential, the single soliton exhibits a snake instability and the molecule destroys analogous to the dissociation of a diatomic molecule. We discuss, on the other hand, the formation of several unusual families of three-component vector solitons in the BEC-impurity mixture. An unconventional dark (D)-bright (B) soliton conversion is found.
The design of dual-mode complex signal processors based on quadratic modular number codes
NASA Astrophysics Data System (ADS)
Jenkins, W. K.; Krogmeier, J. V.
1987-04-01
It has been known for a long time that quadratic modular number codes admit an unusual representation of complex numbers which leads to complete decoupling of the real and imaginary channels, thereby simplifying complex multiplication and providing error isolation between the real and imaginary channels. This paper first presents a tutorial review of the theory behind the different types of complex modular rings (fields) that result from particular parameter selections, and then presents a theory for a 'dual-mode' complex signal processor based on the choice of augmented power-of-2 moduli. It is shown how a diminished-1 binary code, used by previous designers for the realization of Fermat number transforms, also leads to efficient realizations for dual-mode complex arithmetic for certain augmented power-of-2 moduli. Then a design is presented for a recursive complex filter based on a ROM/ACCUMULATOR architecture and realized in an augmented power-of-2 quadratic code, and a computer-generated example of a complex recursive filter is shown to illustrate the principles of the theory.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Chen, Shunli; Fu, Li; Gan, Wei
2016-01-21
In this report we show that the ability to measure the sub-1 cm -1 resolution phase-resolved and intensity high-resolution broadband sum frequency generation vibrational spectra (HR-BB-SFG-VS) of the –CN stretch vibration of the Langmuir-Blodgett (LB) monolayer of the 4-n-octyl-4’-cyanobiphenyl (8CB) on the z-cut α-quartz surface allows for the first time the direct comparison and understanding of the homogeneous and inhomogeneous broadenings in the imaginary and intensity SFG vibrational spectral lineshapes in detail. The difference of the full width at half maxima (FWHM) of the imaginary and intensity SFG-VS spectra of the same vibrational mode is the signature of the Voigtmore » lineshape and it measures the relative contribution to the overall lineshape from the homogeneous and inhomogeneous broadenings in SFG vibrational spectra. From the phase-resolved and intensity spectra, we found that the FWHM of the 2238.00 ±0.02 cm -1 peak in the phase-resolved imaginary and intensity spectra is 19.2 ± 0.2 cm -1 and 21.6 ± 0.4 cm -1, respectively, for the –CN group of the 8CB LB monolayer on the z-cut α-quartz crystal surface. The FWHM width difference of 2.4 cm -1 agrees quantitatively with a Voigt lineshape with a homogeneous broadening half width of Γ = 5.29 ± 0.08 cm -1 and a inhomogeneous standard derivation width Δω = 5.42 ± 0.07 cm -1. These results shed new lights on the understanding and interpretation of the lineshapes of both the phase-resolved and the intensity SFG vibrational spectra, as well as other incoherent and coherent spectroscopic techniques in general.« less
A model for jet-noise analysis using pressure-gradient correlations on an imaginary cone
NASA Technical Reports Server (NTRS)
Norum, T. D.
1974-01-01
The technique for determining the near and far acoustic field of a jet through measurements of pressure-gradient correlations on an imaginary conical surface surrounding the jet is discussed. The necessary analytical developments are presented, and their feasibility is checked by using a point source as the sound generator. The distribution of the apparent sources on the cone, equivalent to the point source, is determined in terms of the pressure-gradient correlations.
Multifractal analysis of real and imaginary movements: EEG study
NASA Astrophysics Data System (ADS)
Pavlov, Alexey N.; Maksimenko, Vladimir A.; Runnova, Anastasiya E.; Khramova, Marina V.; Pisarchik, Alexander N.
2018-04-01
We study abilities of the wavelet-based multifractal analysis in recognition specific dynamics of electrical brain activity associated with real and imaginary movements. Based on the singularity spectra we analyze electroencephalograms (EEGs) acquired in untrained humans (operators) during imagination of hands movements, and show a possibility to distinguish between the related EEG patterns and the recordings performed during real movements or the background electrical brain activity. We discuss how such recognition depends on the selected brain region.
NASA Astrophysics Data System (ADS)
Ehinola, O. A.; Opoola, A. O.
2005-05-01
The Slingram electromagnetic (EM) survey using a coil separation of 60 and 100 meters was carried out in 10 villages in Akinyele area of Ibadan, southwestern Nigeria to aid in the development of groundwater. Five main rock types including an undifferentiated gneiss complex (Su), biotite-garnet schist/gneiss (Bs), quartzite and quartz schist (Q), migmatised undifferentiated biotite/hornblende gneiss (M) and pegmatite/quartz vein (P) underlie the study area. A total of 31 EM profiles was made to accurately locate prospective borehole sites in the field. Four main groups with different behavioural pattern were categorized from the EM profiles. Group 1 is characterized by high density of positive (HDP) or high density of negative (HDN) real and imaginary curves, Group 2 by parallel real and imaginary curves intersecting with negligible amplitude (PNA), Group 3 by frequent intersection of high density of negative minima (FHN) real and imaginary curves, and Group 4 by separate and approximately parallel (SAP) real and imaginary curves. Qualitative pictures of the overburden thickness and the extent of fracturing have been proposed from these behavioural patterns. A comparison of the borehole yield with the overburden thickness and the level of fracturing show that borehole yield depends more on the fracture density than on the overburden thickness. Asymmetry of the anomaly was also found useful in the determination of the inclination of the conductor/fracture.
Terahertz time-domain magnetospectroscopy of a high-mobility two-dimensional electron gas.
Wang, Xiangfeng; Hilton, David J; Ren, Lei; Mittleman, Daniel M; Kono, Junichiro; Reno, John L
2007-07-01
We have observed cyclotron resonance in a high-mobility GaAs/AlGaAs two-dimensional electron gas by using the techniques of terahertz time-domain spectroscopy combined with magnetic fields. From this, we calculate the real and imaginary parts of the diagonal elements of the magnetoconductivity tensor, which in turn allows us to extract the concentration, effective mass, and scattering time of the electrons in the sample. We demonstrate the utility of ultrafast terahertz spectroscopy, which can recover the true linewidth of cyclotron resonance in a high-mobility (>10(6) cm(2)V(-1)s(-1)) sample without being affected by the saturation effect.
Fouks, L; Guibert, S; Cardon; Montot
1990-01-01
The notion of temporality in living is in perpetual motion between passive temporality and creative conscience. Human existence is not purely immanent, a flow of transcedence continually runs through it. Melancholia is a lose of creativity accompanied by a feeling that time as lived has stopped, time being lived as a new mode of space. Maniac temporality is an improductive and unsociable furious flight toward. The melancholic feeling out of time is crushed by the problematic of alterity, sin and eternity. The maniac lives an imaginary and deceptive problematic. The ambivalent ideal of the schizophrenic is both a return to biological life as well as a fascination by formal thought.
Thermal conductivity of hot pionic medium due to pion self-energy for πσ and πρ loops
NASA Astrophysics Data System (ADS)
Ghosh, Sabyasachi
2015-07-01
The thermal conductivity of pionic medium has been evaluated with the help of its standard expression from the relaxation time approximation, where inverse of pion relaxation time or pion thermal width has been obtained from the imaginary part of pion self-energy. In the real-time formalism of thermal field theory, the finite temperature calculations of pion self-energy for πσ and πρ loops have been done. The numerical value of our thermal conductivity increases with temperature very softly, though at particular temperature, our estimation has to consider a large band of phenomenological uncertainty.
Fluctuations of conserved charges from imaginary chemical potential
NASA Astrophysics Data System (ADS)
Guenther, Jana N.; Borsányi, Szabolcs; Fodor, Zoltan; Katz, Sandor D.; Pásztor, Attila; Ratti, Claudia
2018-03-01
When comparing lattice calculation to experimental data from heavy ion collision experiments, the higher order fluctuations of conserved charges are important observables. An efficient way to study these fluctuations is to determine them from simulations at imaginary chemical potential. In this talk we present results up to the six order derivative in μB (with up to eighth order included in the fit), calculated on a 483 × 12 lattice with staggered fermions using different values of μB while μS = μQ = 0.
Su, Hung-Jen; Lee, Sanghyun; Ding, Jing; Comer, Lucette B
2005-10-01
This study examined anticipated reactions to nonroutine occurrences in the context of emotionally laden customer-contact situations in retail stores. Correlations between measures of the dimensions of trait empathy, anticipated emotional responses to the situations, and self-rated willingness to be involved were examined. Anticipated Compassion mediated the relation of Empathetic Concern on Involvement Willingness in 3 of 4 imaginary compassion-evoking situations. No corresponding effect was observed for Anticipated Distress in the imaginary distress-evoking situations.
Hossack, A; Standidge, K
1993-04-01
We employed neurolinguistic programming (NLP) principles to develop a positive self-identity in an elderly male patient in England recovering from clinical depression. This novel technique encouraged recall of intrinsically rewarding past experiences. Each experience was conceptualized in an image and compiled chronologically in an imaginary book, providing continuity to what were chaotic and fragmented recollections during the immediate postdepressive stage. The patient's anxiety and depression were alleviated and his own functional goals largely realized.
A Relaxation Method for Nonlocal and Non-Hermitian Operators
NASA Astrophysics Data System (ADS)
Lagaris, I. E.; Papageorgiou, D. G.; Braun, M.; Sofianos, S. A.
1996-06-01
We present a grid method to solve the time dependent Schrödinger equation (TDSE). It uses the Crank-Nicholson scheme to propagate the wavefunction forward in time and finite differences to approximate the derivative operators. The resulting sparse linear system is solved by the symmetric successive overrelaxation iterative technique. The method handles local and nonlocal interactions and Hamiltonians that correspond to either Hermitian or to non-Hermitian matrices with real eigenvalues. We test the method by solving the TDSE in the imaginary time domain, thus converting the time propagation to asymptotic relaxation. Benchmark problems solved are both in one and two dimensions, with local, nonlocal, Hermitian and non-Hermitian Hamiltonians.
Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
DOE Office of Scientific and Technical Information (OSTI.GOV)
Morita, Kenji; Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502; Skokov, Vladimir
2011-10-01
The phase structure of the two-flavor Polyakov-loop extended Nambu-Jona-Lashinio model is explored at finite temperature and imaginary chemical potential with a particular emphasis on the confinement-deconfinement transition. We point out that the confined phase is characterized by a cos3{mu}{sub I}/T dependence of the chiral condensate on the imaginary chemical potential while in the deconfined phase this dependence is given by cos{mu}{sub I}/T and accompanied by a cusp structure induced by the Z(3) transition. We demonstrate that the phase structure of the model strongly depends on the choice of the Polyakov loop potential U. Furthermore, we find that by changing themore » four fermion coupling constant G{sub s}, the location of the critical end point of the deconfinement transition can be moved into the real chemical potential region. We propose a new parameter characterizing the confinement-deconfinement transition.« less
Search engine imaginary: Visions and values in the co-production of search technology and Europe.
Mager, Astrid
2017-04-01
This article discusses the co-production of search technology and a European identity in the context of the EU data protection reform. The negotiations of the EU data protection legislation ran from 2012 until 2015 and resulted in a unified data protection legislation directly binding for all European member states. I employ a discourse analysis to examine EU policy documents and Austrian media materials related to the reform process. Using the concept 'sociotechnical imaginary', I show how a European imaginary of search engines is forming in the EU policy domain, how a European identity is constructed in the envisioned politics of control, and how national specificities contribute to the making and unmaking of a European identity. I discuss the roles that national technopolitical identities play in shaping both search technology and Europe, taking as an example Austria, a small country with a long history in data protection and a tradition of restrained technology politics.
Reducing injection loss in drill strings
Drumheller, Douglas S.
2004-09-14
A system and method for transferring wave energy into or out of a periodic structure having a characteristic wave impedance profile at a prime frequency, the characteristic wave impedance profile comprising a real portion and an imaginary portion, comprising: locating one or more energy transfer elements each having a wave impedance at the prime frequency approximately equal to the real portion of the characteristic wave impedance at one or more points on the periodic structure with the imaginary portion approximately equaling zero; and employing the one or more energy transfer elements to transfer wave energy into or out of the periodic structure. The energy transfer may be repeaters. Quarter-wave transformers can be provided at one or more points on the periodic structure with the imaginary portion approximately equaling zero to transmit waves across one or more discontinuities. A terminator can be employed for cancellation of waves. The invention substantially eliminates reflections of the wave energy at the prime frequency by joints between sections of the periodic structure.
Influence of particle velocity on the conductivity of dusty plasma
NASA Astrophysics Data System (ADS)
Xu, C. M.; Chen, Y. Y.; Yu, R. J.; Zhang, Y. Y.
2018-06-01
Conductivity is a popular branch of dusty plasma research. In this paper, on the basis of considering the influence of charged particles' (electrons and ions) flow velocity, the conductivity of dusty plasma is derived and studied. Firstly, the charging currents are deduced on considering the influence of flow velocity, and the theoretical results manifest that it increases with the increase of flow velocity. Secondly, both the real and imaginary parts of the conductivity are derived, based on which, the dependence of conductivity on the flow velocity is discussed. In further, it is found that both the real and imaginary parts have a turning point. Finally, a ratio defined as charged particles' flow velocity to thermal velocity is proposed to analyze the dependence of the conductivity on the velocities. The involved results reveal that both the real and imaginary parts of the conductivity have a turning point in their dependence on the ratio, but the specific ratio value is different.
Engaging with the political imaginaries of science: Near misses and future targets.
Nowotny, Helga
2014-01-01
The current economic and financial crisis is also a political crisis that requires a rethinking of public engagement with science. In the past, the dominant focus of science, technology and society (STS) has led to a blind spot: political understanding and engagement of policy-makers and politicians with science, which is an integral part of any public engagement. Arguably, it is bound to and emerges from what Ezrahi calls collective political imaginaries. These are necessary fictions, which are causative and performative. In crude form, they manifest themselves in short-term impact measurements of every unit of scientific activity with citizens as the fictitious ultimate beneficiaries. In the future, STS can gain from coming up with a workable definition of the public interest with a focus on the public value of science. It can investigate collective imaginaries as they emerge from interactions with new media. As necessary fictions they may hold answers we never imagined them to hold.
Resonances in a Chaotic Attractor Crisis of the Lorenz Flow
NASA Astrophysics Data System (ADS)
Tantet, Alexis; Lucarini, Valerio; Dijkstra, Henk A.
2018-02-01
Local bifurcations of stationary points and limit cycles have successfully been characterized in terms of the critical exponents of these solutions. Lyapunov exponents and their associated covariant Lyapunov vectors have been proposed as tools for supporting the understanding of critical transitions in chaotic dynamical systems. However, it is in general not clear how the statistical properties of dynamical systems change across a boundary crisis during which a chaotic attractor collides with a saddle. This behavior is investigated here for a boundary crisis in the Lorenz flow, for which neither the Lyapunov exponents nor the covariant Lyapunov vectors provide a criterion for the crisis. Instead, the convergence of the time evolution of probability densities to the invariant measure, governed by the semigroup of transfer operators, is expected to slow down at the approach of the crisis. Such convergence is described by the eigenvalues of the generator of this semigroup, which can be divided into two families, referred to as the stable and unstable Ruelle-Pollicott resonances, respectively. The former describes the convergence of densities to the attractor (or escape from a repeller) and is estimated from many short time series sampling the state space. The latter is responsible for the decay of correlations, or mixing, and can be estimated from a long times series, invoking ergodicity. It is found numerically for the Lorenz flow that the stable resonances do approach the imaginary axis during the crisis, as is indicative of the loss of global stability of the attractor. On the other hand, the unstable resonances, and a fortiori the decay of correlations, do not flag the proximity of the crisis, thus questioning the usual design of early warning indicators of boundary crises of chaotic attractors and the applicability of response theory close to such crises.
Resonances in a Chaotic Attractor Crisis of the Lorenz Flow
NASA Astrophysics Data System (ADS)
Tantet, Alexis; Lucarini, Valerio; Dijkstra, Henk A.
2017-12-01
Local bifurcations of stationary points and limit cycles have successfully been characterized in terms of the critical exponents of these solutions. Lyapunov exponents and their associated covariant Lyapunov vectors have been proposed as tools for supporting the understanding of critical transitions in chaotic dynamical systems. However, it is in general not clear how the statistical properties of dynamical systems change across a boundary crisis during which a chaotic attractor collides with a saddle. This behavior is investigated here for a boundary crisis in the Lorenz flow, for which neither the Lyapunov exponents nor the covariant Lyapunov vectors provide a criterion for the crisis. Instead, the convergence of the time evolution of probability densities to the invariant measure, governed by the semigroup of transfer operators, is expected to slow down at the approach of the crisis. Such convergence is described by the eigenvalues of the generator of this semigroup, which can be divided into two families, referred to as the stable and unstable Ruelle-Pollicott resonances, respectively. The former describes the convergence of densities to the attractor (or escape from a repeller) and is estimated from many short time series sampling the state space. The latter is responsible for the decay of correlations, or mixing, and can be estimated from a long times series, invoking ergodicity. It is found numerically for the Lorenz flow that the stable resonances do approach the imaginary axis during the crisis, as is indicative of the loss of global stability of the attractor. On the other hand, the unstable resonances, and a fortiori the decay of correlations, do not flag the proximity of the crisis, thus questioning the usual design of early warning indicators of boundary crises of chaotic attractors and the applicability of response theory close to such crises.
Dielectric behavior of semiconductors at microwave frequencies
NASA Technical Reports Server (NTRS)
Dahiya, Jai N.
1992-01-01
A cylindrical microwave resonant cavity in TE(011) (Transverse Electric) mode is used to study the dielectric relaxation in germanium and silicon. The samples of these semiconductors are used to perturb the electric field in the cavity, and Slater's perturbation equations are used to calculate the real and imaginary parts of the dielectric constant. The dielectric loss of germanium and silicon is studied at different temperatures, and Debye's equations are used to calculate the relaxation time at these temperatures.
Auto-correlation in the motor/imaginary human EEG signals: A vision about the FDFA fluctuations.
Zebende, Gilney Figueira; Oliveira Filho, Florêncio Mendes; Leyva Cruz, Juan Alberto
2017-01-01
In this paper we analyzed, by the FDFA root mean square fluctuation (rms) function, the motor/imaginary human activity produced by a 64-channel electroencephalography (EEG). We utilized the Physionet on-line databank, a publicly available database of human EEG signals, as a standardized reference database for this study. Herein, we report the use of detrended fluctuation analysis (DFA) method for EEG analysis. We show that the complex time series of the EEG exhibits characteristic fluctuations depending on the analyzed channel in the scalp-recorded EEG. In order to demonstrate the effectiveness of the proposed technique, we analyzed four distinct channels represented here by F332, F637 (frontal region of the head) and P349, P654 (parietal region of the head). We verified that the amplitude of the FDFA rms function is greater for the frontal channels than for the parietal. To tabulate this information in a better way, we define and calculate the difference between FDFA (in log scale) for the channels, thus defining a new path for analysis of EEG signals. Finally, related to the studied EEG signals, we obtain the auto-correlation exponent, αDFA by DFA method, that reveals self-affinity at specific time scale. Our results shows that this strategy can be applied to study the human brain activity in EEG processing.
Minimum Contradictions Physics and Propulsion via Superconducting Magnetic Field Trapping
NASA Astrophysics Data System (ADS)
Nassikas, A. A.
2010-01-01
All theories are based on Axioms which obviously are arbitrary; e.g. SRT, GRT, QM Axioms. Instead of manipulating the experience through a new set of Arbitrary Axioms it would be useful to search, through a basic tool that we have at our disposal i.e. Logic Analysis, for a set of privileged axioms. Physics theories, beyond their particular axioms, can be restated through the basic communication system as consisting of the Classical Logic, the Sufficient Reason Principle and the Anterior-Posterior Axiom. By means of a theorem this system can be proven as contradictory. The persistence in logic is the way for a set of privileged axioms to be found. This can be achieved on the basis of the Claim for Minimum Contradictions. Further axioms beyond the ones of the basic communications imply further contradictions. Thus, minimum contradictions can be achieved when things are described through anterior-posterior terms; due to existing contradictions through stochastic space-time, which is matter itself, described through a Ψ wave function and distributed, in a Hypothetical Measuring Field (HMF), through the density probability function P(r, t). On this basis, a space-time QM is obtained and this QM is a unified theory satisfying the requirements of quantum gravity. There are both mass-gravitational space-time (g) regarded as real and charge-electromagnetic (em) space-time that could be regarded as imaginary. In a closed system energy conversion-conservation and momentum action take place through photons, which can be regarded either as (g) or (em) space-time formation whose rest mass is equal to zero. Universe Evolution is described through the interaction of the gravitational (g) with the electromagnetic (em) space-time-matter field and not through any other entities. This methodology implies that there is no need for dark matter. An experiment is proposed relative to the (g)+(em) interaction based on Superconducting Magnetic Field Trapping to validate this approach.
NASA Astrophysics Data System (ADS)
Ehinola, O. A.; Opoola, A. O.; Adesokan, H. A.
2006-04-01
The Slingram electromagnetic (EM) survey using a coil separation of 60 and 100 m was carried out in ten villages in the Akinyele area of Ibadan, southwestern Nigeria to aid in the development of groundwater. Five main rock types including an undifferentiated gneiss complex (Su), biotite-garnet schist/gneiss (Bs), quartzite and quartz schist (Q), migmatized undifferentiated biotite/hornblende gneiss (M) and pegmatite/quartz vein (P) underlie the study area. A total of 31 EM profiles was made to accurately locate prospective borehole sites in the field. Four main groups with different behavioural patterns were categorized from the EM profiles. Group 1 is characterized by a high density of positive (HDP) or a high density of negative (HDN) real and imaginary curves, Group 2 by parallel real and imaginary curves intersecting with negligible amplitude (PNA), Group 3 by frequent intersection of a high density of negative minima (FHN) real and imaginary curves, and Group 4 by separate and approximately parallel (SAP) real and imaginary curves. Qualitative pictures of the overburden thickness and the extent of fracturing have been proposed from these behavioural patterns. A comparison of the borehole yield with the overburden thickness and the level of fracturing shows that the borehole yield depends more on the fracture density than on the overburden thickness. The asymmetry of the anomaly was also found to be useful in the determination of the inclination of the conductor/fracture.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Reboredo, Fernando A.; Kim, Jeongnim
A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo, J. Chem. Phys. 136, 204101 (2012)] and some ideas of the correlation function Monte Carlo approach [D. M. Ceperley and B. Bernu, J. Chem. Phys. 89, 6316 (1988)]. In order to allow the evolution in imaginary time to describe the density matrix, we remove the fixed-node restriction using complex antisymmetric guiding wave functions. In the process we obtain a parallel algorithm that optimizes a small subspacemore » of the many-body Hilbert space to provide maximum overlap with the subspace spanned by the lowest-energy eigenstates of a many-body Hamiltonian. We show in a model system that the partition function is progressively maximized within this subspace. We show that the subspace spanned by the small basis systematically converges towards the subspace spanned by the lowest energy eigenstates. Possible applications of this method for calculating the thermodynamic properties of many-body systems near the ground state are discussed. The resulting basis can also be used to accelerate the calculation of the ground or excited states with quantum Monte Carlo.« less
NASA Astrophysics Data System (ADS)
Wang, Dongniu; Wang, Huixin; Yang, Jinli; Zhou, Jigang; Hu, Yongfeng; Xiao, Qunfeng; Fang, Haitao; Sham, Tsun-Kong
2016-01-01
Olivine-type phosphates (LiMPO4, M = Fe, Mn, Co) are promising cathode materials for lithium-ion batteries that are generally accepted to follow first order equilibrium phase transformations. Herein, the phase transformation dynamics of sub-micro sized LiFePO4 particles with limited rate capability at a low current density of 0.14 C was investigated. An in-situ X-ray Absorption Near Edge Structure (XANES) measurement was conducted at the Fe and P K-edge for the dynamic studies upon lithiation and delithiation. Fe K-edge XANES spectra demonstrate that not only lithium-rich intermediate phase LixFePO4 (x = 0.6-0.75), but also lithium-poor intermediate phase LiyFePO4 (y = 0.1-0.25) exist during the charge and discharge, respectively. Furthermore, during charge and discharge, a fluctuation of the FePO4 and LiFePO4 fractions obtained by liner combination fitting around the imaginary phase fractions followed Faraday's law and the equilibrium first-order two-phase transformation versus reaction time is present, respectively. The charging and discharging process has a reversible phase transformation dynamics with symmetric structural evolution routes. P K-edge XANES spectra reveal an enrichment of PF6-1 anions at the surface of the electrode during charging.
Quantum dynamics at finite temperature: Time-dependent quantum Monte Carlo study
DOE Office of Scientific and Technical Information (OSTI.GOV)
Christov, Ivan P., E-mail: ivan.christov@phys.uni-sofia.bg
2016-08-15
In this work we investigate the ground state and the dissipative quantum dynamics of interacting charged particles in an external potential at finite temperature. The recently devised time-dependent quantum Monte Carlo (TDQMC) method allows a self-consistent treatment of the system of particles together with bath oscillators first for imaginary-time propagation of Schrödinger type of equations where both the system and the bath converge to their finite temperature ground state, and next for real time calculation where the dissipative dynamics is demonstrated. In that context the application of TDQMC appears as promising alternative to the path-integral related techniques where the realmore » time propagation can be a challenge.« less
Structural and dielectric properties of Ba{sub 2}LaSbO{sub 6} ceramics
DOE Office of Scientific and Technical Information (OSTI.GOV)
Kumari, Premlata, E-mail: k.premlata1@gmail.com; Dutta, Alo; Sinha, T. P.
2014-04-24
The ceramic Ba{sub 2}LaSbO{sub 6} (BLS) is synthesized by the solid state reaction technique. The Rietveld refinement of X-ray diffraction pattern at room temperature shows Monoclinic P2{sub 1}/n space group symmetry with lattice parameter a = 6.0720 (0) Å, b = 6.1058 (3) Å, c = 8.6016 (6) Å and β =89.7091 ° (8). Dielectric study of sample has been performed in the temperature range from 30 °C to 300 °C in the frequency range 50 Hz to 1.1 MHz. Dielectric relaxation peaks are observed in the imaginary part of complex permittivity of the spectra. The frequency dependence of realmore » and imaginary parts of dielectric permittivity is analyzed using Cole-Cole model. The temperature dependent relaxation time is found to obey the Arrhenius law having activation energy 0.48 eV which indicates that the conduction mechanism in the materials may be due to polaron hopping based on electron carriers. The complex plane plots of BLS shows the presence of both grain and grain boundary effects. Conductivity spectra follow the power law.« less
NASA Astrophysics Data System (ADS)
van Gent, P. L.; Schrijer, F. F. J.; van Oudheusden, B. W.
2018-04-01
Pseudo-tracking refers to the construction of imaginary particle paths from PIV velocity fields and the subsequent estimation of the particle (material) acceleration. In view of the variety of existing and possible alternative ways to perform the pseudo-tracking method, it is not straightforward to select a suitable combination of numerical procedures for its implementation. To address this situation, this paper extends the theoretical framework for the approach. The developed theory is verified by applying various implementations of pseudo-tracking to a simulated PIV experiment. The findings of the investigations allow us to formulate the following insights and practical recommendations: (1) the velocity errors along the imaginary particle track are primarily a function of velocity measurement errors and spatial velocity gradients; (2) the particle path may best be calculated with second-order accurate numerical procedures while ensuring that the CFL condition is met; (3) least-square fitting of a first-order polynomial is a suitable method to estimate the material acceleration from the track; and (4) a suitable track length may be selected on the basis of the variation in material acceleration with track length.
Saa, Jaime F Delgado; Çetin, Müjdat
2012-04-01
We consider the problem of classification of imaginary motor tasks from electroencephalography (EEG) data for brain-computer interfaces (BCIs) and propose a new approach based on hidden conditional random fields (HCRFs). HCRFs are discriminative graphical models that are attractive for this problem because they (1) exploit the temporal structure of EEG; (2) include latent variables that can be used to model different brain states in the signal; and (3) involve learned statistical models matched to the classification task, avoiding some of the limitations of generative models. Our approach involves spatial filtering of the EEG signals and estimation of power spectra based on autoregressive modeling of temporal segments of the EEG signals. Given this time-frequency representation, we select certain frequency bands that are known to be associated with execution of motor tasks. These selected features constitute the data that are fed to the HCRF, parameters of which are learned from training data. Inference algorithms on the HCRFs are used for the classification of motor tasks. We experimentally compare this approach to the best performing methods in BCI competition IV as well as a number of more recent methods and observe that our proposed method yields better classification accuracy.
NASA Astrophysics Data System (ADS)
Wiener, Clinton; Weiss, Robert; White, Christopher; Vogt, Bryan
2014-03-01
Since Sauerbrey's 1959 discovery of the mass-frequency relationship in quartz, the QCM has been utilized to probe deposited mass layers. The mass to frequency (imaginary component of the impedance) relationship breaks down when the added mass is not rigidly coupled to the sensor surface and viscous dissipation of the quartz occurs. This dissipation is important in the deposition of soft materials such as polymers or biological molecules. By using a viscoelastic model for frequency and dissipation; the mass, viscosity, and shear modulus can be accurately determined. Here, we demonstrate an additional breakdown in the coupling of the imaginary component of the impedance to the mass by simultaneous QCM-D and spectroscopic ellipsometry (SE) measurements by examination of the swelling behavior of thin physically crosslinked poly-n-isopropylacrylamide films. A film swollen beyond 3 times its dry thickness shows a frequency increase (mass loss) and dissipation increases (increasing lossy film character) on cooling, but SE results show increased swelling of the film. This behavior was found to be thickness invariant for dry thicknesses of 32 nm and greater. Modeling of this QCM-D data shows non-physical results. Scaling concepts associated with this high loss limit will be discussed.
NASA Astrophysics Data System (ADS)
Li, Y.; Pindzola, M. S.; Ballance, C. P.; Colgan, J.
2014-05-01
Single and double photoionization cross sections for Li2 are calculated using a time-dependent close-coupling method. The correlation between the outer two electrons of Li2 is obtained by relaxation of the close-coupled equations in imaginary time. Propagation of the close-coupled equations in real time yields single and double photoionization cross sections for Li2. The two active electron cross sections are compared with one active electron distorted-wave and close-coupling results for both Li and Li2. This work was supported in part by grants from NSF and US DoE. Computational work was carried out at NERSC in Oakland, California, NICS in Knoxville, Tennessee, and OLCF in Oak Ridge, Tennessee.
Electrical impedance spectroscopy of neutron-irradiated nanocrystalline silicon carbide (3C-SiC)
NASA Astrophysics Data System (ADS)
Huseynov, Elchin M.
2018-01-01
It the present work, impedance spectra of nanocrystalline 3C-SiC particles have been comparatively analyzed before and after neutron irradiation. Resonance states and shifts were observed at the impedance spectra of nanocrystalline 3C-SiC particles after neutron irradiation. Relaxation time has been calculated from interdependence of real and imaginary parts of impedance of nanocrystalline 3C-SiC particles. Calculated relaxation times have been investigated as a function of neutron irradiation period. Neutron transmutation (31P isotopes production) effects on the impedance spectra and relaxation times have been studied. Moreover, influence of agglomeration and amorphous transformation to the impedance spectra and relaxation times of nanocrystalline 3C-SiC particles have been investigated.
Assessing the potential of spectral induced polarization to detect in situ changes in iron reduction
NASA Astrophysics Data System (ADS)
Rosier, C. L.; Price, A.; Sharma, S.; Atekwana, E. A.
2016-12-01
The near surface geophysical technique Spectral Induced Polarization (SIP), provides promise as an effective method measuring in situ biofilm formation/development. Yet, potential mechanisms responsible for observed shifts in SIP response due to biofilm are not clearly understood. In order to address possible mechanisms we assessed the influence of Shewanella oneidensis (MR1) cell density (colony forming units; CFU), biofilm production (Bradford assay) and iron reduction metabolism (colorimetric assay) on SIP response. Laboratory measurements were collected over three months on columns packed with either iron-coated or iron-free sands and amended with artificial ground water and acetate in order to stimulate biofilm production and microbial iron reduction. Additionally, scanning electron microscopy (SEM) was used to confirm the presence of S. oneidensis cells and biofilm. Our results suggest that during early/initial stage (<30 days) of the iron-coated column incubations, both phase and imaginary conductivity response increased 4-fold as concentrations of reduced iron increased from 0-50 mM. In the later stages (>75 days) of column incubation, SIP measurements revealed that phase and imaginary conductivity responses decreased as the concentration of reduced iron decreased below 2.0 mM. In contrast, we observed only a moderate increase in phase and imaginary conductivity ( 30%) within iron-free columns as a result of increases in S. oneidensis cells (CFU 1.5 x 1011) and biofilm production (7.0 mg ml-1). SEM analysis confirmed the presence of biofilm and cells within both iron-coated and iron-free columns. We hypothesize that the production of microbial metabolic byproducts is a potential mechanism explaining large phase shits observed in previous studies ( 50 mrads) rather than the conductivity of cells or biofilm. Our findings provide support for the following: i) ratio of cells to biofilm production only moderately influences both phase and imaginary conductivity response and ii) largest phase and imaginary conductivity response resulted from microbial metabolism (i.e. iron reduction) and potentially biofilm trapping of conductive materials (i.e. cations).
Odelstad, Elias; Raman, Sujith; Rydberg, Anders
2014-01-01
The objective of this paper was to test and evaluate an experimental procedure for providing data on the complex permittivity of different cell lines in the 2–50-GHz range at room temperature, for the purpose of future dosimetric studies. The complex permittivity measurements were performed on cells suspended in culture medium using an open-ended coaxial probe. Maxwell’s mixture equation then allows the calculation of the permittivity profiles of the cells from the difference in permittivity between the cell suspensions and pure culture medium. The open-ended coaxial probe turned out to be very sensitive to disturbances affecting the measurements, resulting in poor precision. Permittivity differences were not large in relation to the spread of the measurements and repeated measurements were performed to improve statistics. The 95% confidence intervals were computed for the arithmetic means of the measured permittivity differences in order to test the statistical significance. The results showed that for bone cells at the lowest tested concentration (33 500/ml), there were significance in the real part of the permittivity at frequencies above 30 GHz, and no significance in the imaginary part. For the second lowest concentration (67 000/ml) there was no significance at all. For a medium concentration of bone cells (135 000/ml) there was no significance in the real part, but there was significance in the imaginary part at frequencies below about 25 GHz. The cell suspension with a concentration of 1 350 000/ml had significance in the real part for both high (above 30 GHz) and low (below 15 GHz) frequencies. The imaginary part showed significance for frequencies below 25 GHz. In the case of an osteosarcoma cell line with a concentration of 2 700 000/ml, only the imaginary part showed significance, and only for frequencies below 15 GHz. For muscle cells at a concentration of 743 450/ml, there was only significance in the imaginary part for frequencies below 5 GHz. The experimental data indicated that the complex permittivity of the culture medium may be used for modeling of cell suspensions. PMID:27170886
Javanbakht, Arash
2006-03-01
Gods and heroes of Greek myths have been of interest to psychoanalysts, who find them as symbols of human intrapsychic life, evolution, and conflicts. Many of these gods and heroes, like Oedipus, Electra, Eros, and Narcissus, have had their names given to psychological situations, conflicts, and diseases. Freud picked the myth of Narcissus as a symbol of a self-absorbed person whose libido is invested in the ego itself, rather than in other people. The term narcissistic personality disorder, also taken from the myth, describes a self-loving character with grandiose feelings of uniqueness. In this article, I reevaluate the myth of Narcissus and present a different psychoanalytic concept for this story. I view Narcissus as a symbol of a youth who seeks the image of anima or a feminine mental image in interpersonal love relationships, an image that can never be found in the real external world. This misguided quest for an imaginary love object only results in solitude.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Ruban, V. P., E-mail: ruban@itp.ac.ru
2015-05-15
The nonlinear dynamics of an obliquely oriented wave packet on a sea surface is analyzed analytically and numerically for various initial parameters of the packet in relation to the problem of the so-called rogue waves. Within the Gaussian variational ansatz applied to the corresponding (1+2)-dimensional hyperbolic nonlinear Schrödinger equation (NLSE), a simplified Lagrangian system of differential equations is derived that describes the evolution of the coefficients of the real and imaginary quadratic forms appearing in the Gaussian. This model provides a semi-quantitative description of the process of nonlinear spatiotemporal focusing, which is one of the most probable mechanisms of roguemore » wave formation in random wave fields. The system of equations is integrated in quadratures, which allows one to better understand the qualitative differences between linear and nonlinear focusing regimes of a wave packet. Predictions of the Gaussian model are compared with the results of direct numerical simulation of fully nonlinear long-crested waves.« less
When do I wear me out? Mental simulation and the diminution of self-control.
Macrae, C Neil; Christian, Brittany M; Golubickis, Marius; Karanasiou, Magdalene; Troksiarova, Lenka; McNamara, Diana L; Miles, Lynden K
2014-08-01
Exerting self-control can diminish people's capacity to engage in subsequent acts of behavioral regulation, a phenomenon termed ego depletion. But what of imaginary regulatory experiences-does simulated restraint elicit comparable lapses in self-control? Here we demonstrate such effects under theoretically tractable imagery conditions. Across 3 experiments, temporal, structural, and spatial components of mental simulation were observed to drive the efficacy of imaginary self-control. In Experiment 1, lapses in restraint (i.e., financial impulsivity) were more pronounced when imaginary regulation (i.e., dietary restraint) focused on an event in the near versus distant future. In Experiment 2, comparable effects (i.e., increased stereotyping) emerged when simulated self-control (i.e., emotional suppression) was imagined from a first-person (cf. third-person) visual perspective. In Experiment 3, restraint was diminished (i.e., increased risk taking) when self-regulation (i.e., action control) centered on an event at a near versus distant location. These findings further delineate the conditions under which mental simulation impacts core aspects of social-cognitive functioning. PsycINFO Database Record (c) 2014 APA, all rights reserved.
Non-Hermitian bidirectional robust transport
NASA Astrophysics Data System (ADS)
Longhi, Stefano
2017-01-01
Transport of quantum or classical waves in open systems is known to be strongly affected by non-Hermitian terms that arise from an effective description of system-environment interaction. A simple and paradigmatic example of non-Hermitian transport, originally introduced by Hatano and Nelson two decades ago [N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996), 10.1103/PhysRevLett.77.570], is the hopping dynamics of a quantum particle on a one-dimensional tight-binding lattice in the presence of an imaginary vectorial potential. The imaginary gauge field can prevent Anderson localization via non-Hermitian delocalization, opening up a mobility region and realizing robust transport immune to disorder and backscattering. Like for robust transport of topologically protected edge states in quantum Hall and topological insulator systems, non-Hermitian robust transport in the Hatano-Nelson model is unidirectional. However, there is not any physical impediment to observe robust bidirectional non-Hermitian transport. Here it is shown that in a quasi-one-dimensional zigzag lattice, with non-Hermitian (imaginary) hopping amplitudes and a synthetic gauge field, robust transport immune to backscattering can occur bidirectionally along the lattice.
Small and large particle limits of single scattering albedo for homogeneous, spherical particles
NASA Astrophysics Data System (ADS)
Moosmüller, H.; Sorensen, C. M.
2018-01-01
The aerosol single scattering albedo (SSA) is the dominant intensive particle parameter determining aerosols direct radiative forcing. For homogeneous spherical particles and a complex refractive index independent of wavelength, the SSA is solely dependent on size parameter (ratio of particle circumference and wavelength) and complex refractive index of the particle. Here, we explore this dependency for the small and large particle limits with size parameters much smaller and much larger than one. We show that in the small particle limit of Rayleigh scattering, a novel, generalized size parameter can be introduced that unifies the SSA dependence on particle size parameter independent of complex refractive index. In the large particle limit, SSA decreases with increasing product of imaginary part of the refractive index and size parameter, another generalized parameter, until this product becomes about one, then stays fairly constant until the imaginary part of the refractive index becomes comparable with the real part minus one. Beyond this point, particles start to acquire metallic character and SSA quickly increases with the imaginary part of the refractive index and approaches one.
Coupled Riccati equations for complex plane constraint
NASA Technical Reports Server (NTRS)
Strong, Kristin M.; Sesak, John R.
1991-01-01
A new Linear Quadratic Gaussian design method is presented which provides prescribed imaginary axis pole placement for optimal control and estimation systems. This procedure contributes another degree of design freedom to flexible spacecraft control. Current design methods which interject modal damping into the system tend to have little affect on modal frequencies, i.e., they predictably shift open plant poles horizontally in the complex plane to form the closed loop controller or estimator pole constellation, but make little provision for vertical (imaginary axis) pole shifts. Imaginary axis shifts which reduce the closed loop model frequencies (the bandwidths) are desirable since they reduce the sensitivity of the system to noise disturbances. The new method drives the closed loop modal frequencies to predictable (specified) levels, frequencies as low as zero rad/sec (real axis pole placement) can be achieved. The design procedure works through rotational and translational destabilizations of the plant, and a coupling of two independently solved algebraic Riccati equations through a structured state weighting matrix. Two new concepts, gain transference and Q equivalency, are introduced and their use shown.
Effective Hamiltonian Approach to Optical Activity in Weyl Spin–Orbit System
NASA Astrophysics Data System (ADS)
Kawaguchi, Hideo; Tatara, Gen
2018-06-01
Chirality or handedness in condensed matter induces anomalous optical responses such as natural optical activity, rotation of the plane of light polarization, as a result of breaking of spatial-inversion symmetry. In this study, optical properties of a Weyl spin-orbit system with quadratic dispersion, a typical chiral system invariant under time-reversal, are investigated theoretically by deriving an effective Hamiltonian based on an imaginary-time path-integral formalism. We show that the effective Hamiltonian can indeed be written in terms of an optical chirality order parameter suggested by Lipkin. The natural optical activity is discussed on the basis of the Hamiltonian.
NASA Astrophysics Data System (ADS)
Ojima, Izumi
1981-11-01
"Thermo field dynamics," allowing the Feynman diagram method to be applied to real-time causal Green's functions at finite temperatures ( not temperature Green's functions with imaginary times) expressed in the form of "vacuum" expectation values, is reconsidered in light of its connection with the algebraic formulation of statical machanics based upon the KMS condition. On the basis of so-obtained general basic formulae, the formalism is extended to the case of gauge theories, where the subsidiary condition specifying physical states, the notion of observables, and the structure of the physical subspace at finite temperatures are clarified.
Quantum dynamics by the constrained adiabatic trajectory method
DOE Office of Scientific and Technical Information (OSTI.GOV)
Leclerc, A.; Jolicard, G.; Guerin, S.
2011-03-15
We develop the constrained adiabatic trajectory method (CATM), which allows one to solve the time-dependent Schroedinger equation constraining the dynamics to a single Floquet eigenstate, as if it were adiabatic. This constrained Floquet state (CFS) is determined from the Hamiltonian modified by an artificial time-dependent absorbing potential whose forms are derived according to the initial conditions. The main advantage of this technique for practical implementation is that the CFS is easy to determine even for large systems since its corresponding eigenvalue is well isolated from the others through its imaginary part. The properties and limitations of the CATM are exploredmore » through simple examples.« less
Architectural design and simulation of a virtual memory
NASA Technical Reports Server (NTRS)
Kwok, G.; Chu, Y.
1971-01-01
Virtual memory is an imaginary main memory with a very large capacity which the programmer has at his disposal. It greatly contributes to the solution of the dynamic storage allocation problem. The architectural design of a virtual memory is presented which implements by hardware the idea of queuing and scheduling the page requests to a paging drum in such a way that the access of the paging drum is increased many times. With the design, an increase of up to 16 times in page transfer rate is achievable when the virtual memory is heavily loaded. This in turn makes feasible a great increase in the system throughput.
Field Theoretical Methods in Cosmology
NASA Astrophysics Data System (ADS)
Singh, Anupam
1995-01-01
To optimally utilize all the exciting cosmological data coming in we need to sharpen also the theoretical tools available to cosmologists. One such indispensible tool to understand hot big bang cosmology is finite temperature field theory. We review and summarise the efforts made by us to use finite temperature field theory to address issues of current interest to cosmologists. An introduction to both the real time and the imaginary time formalisms is provided. The imaginary time formalism is illustrated by applying it to understand the interesting possibility of late Time Phase Transitions. Recent observations of the space distribution of quasars indicate a very notable peak in space density at a redshift of 2 to 3. It is pointed out that this may be the result of a phase transition which has a critical temperature of roughly a few meV (in the cosmological units, h = c = k = 1), which is natural in the context of massive neutrinos. In fact, the neutrino masses required for quasar production and those required to solve the solar neutrino problem by the MSW mechanism are consistent with each other. As a bonus, the cosmological constant implied by this model may also help resolve the discrepancy between the recently measured value of the Hubble Constant and the age of the universe. We illustrate the real time formalism by studying one of the most important time-dependent and non-equilibrium phenomena associated with phase transitions. The non-equilibrium dynamics of the first stage of the reheating process, that is dissipation via particle production is studied in scalar field theories. We show that a complete understanding of the mechanism of dissipation via particle production requires a non-perturbative resummation. We then study a Hartree approximation and clearly exhibit dissipative effects related to particle production. The effect of dissipation by Goldstone bosons is studied non-perturbatively in the large N limit in an O(N) theory. We also place our work in perspective and point out some of the related issues which clearly need further exploration.
NASA Astrophysics Data System (ADS)
Eshuis, Henk; Yarkony, Julian; Furche, Filipp
2010-06-01
The random phase approximation (RPA) is an increasingly popular post-Kohn-Sham correlation method, but its high computational cost has limited molecular applications to systems with few atoms. Here we present an efficient implementation of RPA correlation energies based on a combination of resolution of the identity (RI) and imaginary frequency integration techniques. We show that the RI approximation to four-index electron repulsion integrals leads to a variational upper bound to the exact RPA correlation energy if the Coulomb metric is used. Auxiliary basis sets optimized for second-order Møller-Plesset (MP2) calculations are well suitable for RPA, as is demonstrated for the HEAT [A. Tajti et al., J. Chem. Phys. 121, 11599 (2004)] and MOLEKEL [F. Weigend et al., Chem. Phys. Lett. 294, 143 (1998)] benchmark sets. Using imaginary frequency integration rather than diagonalization to compute the matrix square root necessary for RPA, evaluation of the RPA correlation energy requires O(N4 log N) operations and O(N3) storage only; the price for this dramatic improvement over existing algorithms is a numerical quadrature. We propose a numerical integration scheme that is exact in the two-orbital case and converges exponentially with the number of grid points. For most systems, 30-40 grid points yield μH accuracy in triple zeta basis sets, but much larger grids are necessary for small gap systems. The lowest-order approximation to the present method is a post-Kohn-Sham frequency-domain version of opposite-spin Laplace-transform RI-MP2 [J. Jung et al., Phys. Rev. B 70, 205107 (2004)]. Timings for polyacenes with up to 30 atoms show speed-ups of two orders of magnitude over previous implementations. The present approach makes it possible to routinely compute RPA correlation energies of systems well beyond 100 atoms, as is demonstrated for the octapeptide angiotensin II.
Eshuis, Henk; Yarkony, Julian; Furche, Filipp
2010-06-21
The random phase approximation (RPA) is an increasingly popular post-Kohn-Sham correlation method, but its high computational cost has limited molecular applications to systems with few atoms. Here we present an efficient implementation of RPA correlation energies based on a combination of resolution of the identity (RI) and imaginary frequency integration techniques. We show that the RI approximation to four-index electron repulsion integrals leads to a variational upper bound to the exact RPA correlation energy if the Coulomb metric is used. Auxiliary basis sets optimized for second-order Møller-Plesset (MP2) calculations are well suitable for RPA, as is demonstrated for the HEAT [A. Tajti et al., J. Chem. Phys. 121, 11599 (2004)] and MOLEKEL [F. Weigend et al., Chem. Phys. Lett. 294, 143 (1998)] benchmark sets. Using imaginary frequency integration rather than diagonalization to compute the matrix square root necessary for RPA, evaluation of the RPA correlation energy requires O(N(4) log N) operations and O(N(3)) storage only; the price for this dramatic improvement over existing algorithms is a numerical quadrature. We propose a numerical integration scheme that is exact in the two-orbital case and converges exponentially with the number of grid points. For most systems, 30-40 grid points yield muH accuracy in triple zeta basis sets, but much larger grids are necessary for small gap systems. The lowest-order approximation to the present method is a post-Kohn-Sham frequency-domain version of opposite-spin Laplace-transform RI-MP2 [J. Jung et al., Phys. Rev. B 70, 205107 (2004)]. Timings for polyacenes with up to 30 atoms show speed-ups of two orders of magnitude over previous implementations. The present approach makes it possible to routinely compute RPA correlation energies of systems well beyond 100 atoms, as is demonstrated for the octapeptide angiotensin II.
NASA Astrophysics Data System (ADS)
Chakrabarti, Amitabha; Chakraborti, Anirban; Jedidi, Aymen
2010-12-01
We study quantum entanglements induced on product states by the action of 8-vertex braid matrices, rendered unitary with purely imaginary spectral parameters (rapidity). The unitarity is displayed via the 'canonical factorization' of the coefficients of the projectors spanning the basis. This adds one more new facet to the famous and fascinating features of the 8-vertex model. The double periodicity and the analytic properties of the elliptic functions involved lead to a rich structure of the 3-tangle quantifying the entanglement. We thus explore the complex relationship between topological and quantum entanglement.
Cuts, cancellations and the closed time path: The soft leptogenesis example
NASA Astrophysics Data System (ADS)
Garbrecht, Björn; Ramsey-Musolf, Michael J.
2014-05-01
By including all leading quantum-statistical effects at finite temperature, we show that no net asymmetry of leptons and sleptons is generated from soft leptogenesis, save the possible contribution from the resonant mixing of sneutrinos. This result contrasts with different conclusions appearing in the literature that are based on an incomplete inclusion of quantum statistics. We discuss vertex and wave-function diagrams as well as all different possible kinematic cuts that nominally lead to CP-violating asymmetries. The present example of soft leptogenesis may therefore serve as a paradigm in order to identify more generally applicable caveats relevant to alternative scenarios for baryogenesis and leptogenesis, and it may provide useful guidance in constructing viable models. For the vertex contributions, the intermediate on-shell particle is an out-of equilibrium singlet neutrino N (see Fig. 3). In this case, even when the subtraction of RIS is performed correctly, On the other hand, when the RIS that is to be subtracted corresponds to a particle that is in equilibrium, such as the scalar Higgs doublet H1 in Section 4 (see Fig. 7), no asymmetry is generated in first place. This type of subtraction of equilibrium RIS and the consequent vanishing of the CPV asymmetry has been missed in the context of a different model in Ref. [9]. Alternatively, there exists a way of deriving the leptogenesis kinetic equations following a set of rules that intrinsically respect the unitary evolution of the system while sidestepping the pitfalls of the RIS procedure: the Closed Time Path (CTP) formalism [10-15]. Rather than formulating the problem in terms of S-matrix elements and classical particle distribution functions, the evolution of Green functions of the quantum fields is calculated. In particular, the imaginary parts of self-energies correspond to the inclusive decay and production rates that are necessary in order to track the evolution of the asymmetry. This way, the somewhat heuristic procedure of RIS subtraction can be avoided [16-31].In the present work, we calculate the source terms for the asymmetry using the CTP formalism. As our main result, we demonstrate that the resulting asymmetry of the lepton number vanishes even when taking into account quantum statistical corrections. In particular, the corrections associated with the internal lines precisely cancel those associated with the final states that are included in Refs. [6-8]. Consequently, the sum of the lepton and slepton asymmetries is zero.
NASA Astrophysics Data System (ADS)
Fakis, Demetrios; Kalvouridis, Tilemahos
2017-09-01
The regular polygon problem of (N+1) bodies deals with the dynamics of a small body, natural or artificial, in the force field of N big bodies, the ν=N-1 of which have equal masses and form an imaginary regular ν -gon, while the Nth body with a different mass is located at the center of mass of the system. In this work, instead of considering Newtonian potentials and forces, we assume that the big bodies create quasi-homogeneous potentials, in the sense that we insert to the inverse square Newtonian law of gravitation an inverse cube corrective term, aiming to approximate various phenomena due to their shape or to the radiation emitting from the primaries. Based on this new consideration, we apply a general methodology in order to investigate by means of the zero-velocity surfaces, the regions where 3D motions of the small body are allowed, their evolutions and parametric variations, their topological bifurcations, as well as the existing trapping domains of the particle. Here we note that this process is definitely a fundamental step of great importance in the study of many dynamical systems characterized by a Jacobian-type integral of motion in the long way of searching for solutions of any kind.
Parity–time-symmetric circular Bragg lasers: a proposal and analysis
Gu, Jiahua; Xi, Xiang; Ma, Jingwen; Yu, Zejie; Sun, Xiankai
2016-01-01
We propose a new type of semiconductor lasers by implementing the concept of parity–time symmetry in a two-dimensional circular Bragg grating structure, where both the real and imaginary parts of the refractive index are modulated along the radial direction. The laser modal properties are analyzed with a transfer-matrix method and are verified with numerical simulation of a practical design. Compared with conventional distributed-feedback lasers with modulation of only the real part of refractive index, the parity–time-symmetric circular Bragg lasers feature reduced threshold and enhanced modal discrimination, which in combination with the intrinsic circularly symmetric, large emission aperture are clear advantages in applications that require mode-hop-free, high-power, single-mode laser operation. PMID:27892933
Buchbinder, Mara
2015-10-01
The social work of brain images has taken center stage in recent theorizing of the intersections between neuroscience and society. However, neuroimaging is only one of the discursive modes through which public representations of neurobiology travel. This article adopts an expanded view toward the social implications of neuroscientific thinking to examine how neural imaginaries are constructed in the absence of visual evidence. Drawing on ethnographic fieldwork conducted over 18 months (2008-2009) in a United States multidisciplinary pediatric pain clinic, I examine the pragmatic clinical work undertaken to represent ambiguous symptoms in neurobiological form. Focusing on one physician, I illustrate how, by rhetorically mapping the brain as a therapeutic tool, she engaged in a distinctive form of representation that I call neural imagining. In shifting my focus away from the purely material dimensions of brain images, I juxtapose the cultural work of brain scanning technologies with clinical neural imaginaries in which the teenage brain becomes a space of possibility, not to map things as they are, but rather, things as we hope they might be. These neural imaginaries rely upon a distinctive clinical epistemology that privileges the creative work of the imagination over visualization technologies in revealing the truths of the body. By creating a therapeutic space for adolescents to exercise their imaginative faculties and a discursive template for doing so, neural imagining relocates adolescents' agency with respect to epistemologies of bodily knowledge and the role of visualization practices therein. In doing so, it provides a more hopeful alternative to the dominant popular and scientific representations of the teenage brain that view it primarily through the lens of pathology. Copyright © 2014 Elsevier Ltd. All rights reserved.
NASA Astrophysics Data System (ADS)
Brennan, D. P.; Finn, J. M.
2014-10-01
Feedback stabilization of magnetohydrodynamic (MHD) modes in a tokamak is studied in a cylindrical model with a resistive wall, plasma resistivity, viscosity, and toroidal rotation. The control is based on a linear combination of the normal and tangential components of the magnetic field just inside the resistive wall. The feedback includes complex gain, for both the normal and for the tangential components, and it is known that the imaginary part of the feedback for the former is equivalent to plasma rotation [J. M. Finn and L. Chacon, Phys. Plasmas 11, 1866 (2004)]. The work includes (1) analysis with a reduced resistive MHD model for a tokamak with finite β and with stepfunction current density and pressure profiles, and (2) computations with a full compressible visco-resistive MHD model with smooth decreasing profiles of current density and pressure. The equilibria are stable for β = 0 and the marginal stability values βrp,rw < βrp,iw < βip,rw < βip,iw (resistive plasma, resistive wall; resistive plasma, ideal wall; ideal plasma, resistive wall; and ideal plasma, ideal wall) are computed for both models. The main results are: (a) imaginary gain with normal sensors or plasma rotation stabilizes below βrp,iw because rotation suppresses the diffusion of flux from the plasma out through the wall and, more surprisingly, (b) rotation or imaginary gain with normal sensors destabilizes above βrp,iw because it prevents the feedback flux from entering the plasma through the resistive wall to form a virtual wall. A method of using complex gain Gi to optimize in the presence of rotation in this regime with β > βrp,iw is presented. The effect of imaginary gain with tangential sensors is more complicated but essentially destabilizes above and below βrp,iw.
Chang, Hing-Chiu; Bilgin, Ali; Bernstein, Adam; Trouard, Theodore P.
2018-01-01
Over the past several years, significant efforts have been made to improve the spatial resolution of diffusion-weighted imaging (DWI), aiming at better detecting subtle lesions and more reliably resolving white-matter fiber tracts. A major concern with high-resolution DWI is the limited signal-to-noise ratio (SNR), which may significantly offset the advantages of high spatial resolution. Although the SNR of DWI data can be improved by denoising in post-processing, existing denoising procedures may potentially reduce the anatomic resolvability of high-resolution imaging data. Additionally, non-Gaussian noise induced signal bias in low-SNR DWI data may not always be corrected with existing denoising approaches. Here we report an improved denoising procedure, termed diffusion-matched principal component analysis (DM-PCA), which comprises 1) identifying a group of (not necessarily neighboring) voxels that demonstrate very similar magnitude signal variation patterns along the diffusion dimension, 2) correcting low-frequency phase variations in complex-valued DWI data, 3) performing PCA along the diffusion dimension for real- and imaginary-components (in two separate channels) of phase-corrected DWI voxels with matched diffusion properties, 4) suppressing the noisy PCA components in real- and imaginary-components, separately, of phase-corrected DWI data, and 5) combining real- and imaginary-components of denoised DWI data. Our data show that the new two-channel (i.e., for real- and imaginary-components) DM-PCA denoising procedure performs reliably without noticeably compromising anatomic resolvability. Non-Gaussian noise induced signal bias could also be reduced with the new denoising method. The DM-PCA based denoising procedure should prove highly valuable for high-resolution DWI studies in research and clinical uses. PMID:29694400
Buchbinder, Mara
2014-01-01
The social work of brain images has taken center stage in recent theorizing of the intersections between neuroscience and society. However, neuroimaging is only one of the discursive modes through which public representations of neurobiology travel. This article adopts an expanded view toward the social implications of neuroscientific thinking to examine how neural imaginaries are constructed in the absence of visual evidence. Drawing on ethnographic fieldwork conducted over 18 months (2008–2009) in a United States multidisciplinary pediatric pain clinic, I examine the pragmatic clinical work undertaken to represent ambiguous symptoms in neurobiological form. Focusing on one physician, I illustrate how, by rhetorically mapping the brain as a therapeutic tool, she engaged in a distinctive form of representation that I call neural imagining. In shifting my focus away from the purely material dimensions of brain images, I juxtapose the cultural work of brain scanning technologies with clinical neural imaginaries in which the teenage brain becomes a space of possibility, not to map things as they are, but rather, things as we hope they might be. These neural imaginaries rely upon a distinctive clinical epistemology that privileges the creative work of the imagination over visualization technologies in revealing the truths of the body. By creating a therapeutic space for adolescents to exercise their imaginative faculties and a discursive template for doing so, neural imagining relocates adolescents’ agency with respect to epistemologies of bodily knowledge and the role of visualization practices therein. In doing so, it provides a more hopeful alternative to the dominant popular and scientific representations of the teenage brain that view it primarily through the lens of pathology. PMID:24780561
Statistical approach to tunneling time in attosecond experiments
NASA Astrophysics Data System (ADS)
Demir, Durmuş; Güner, Tuğrul
2017-11-01
Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the absence of a universal method to compute tunneling time. This problem has been attacked in various ways in the literature. Here, in the present work, we show that a statistical approach to the problem, motivated by the imaginary nature of time in the forbidden regions, lead to a novel tunneling time formula which is real and subluminal (in contrast to various known time definitions implying superluminal tunneling). In addition to this, we show explicitly that the entropic time formula is in good agreement with the tunneling time measurements in laser-driven He ionization. Moreover, it sets an accurate range for long-range electron transfer reactions. The entropic time formula is general enough to extend to the photon and phonon tunneling phenomena.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Flores, J. M.; Washenfelder, Rebecca; Adler, Gabriela
2014-05-14
Atmospheric absorption by brown carbon aerosol may play an important role in global radiative forcing. Brown carbon arises from both primary and secondary sources, but the mechanisms and reactions for the latter are highly uncertain. One proposed mechanism is the reaction of ammonia or amino acids with carbonyl products in secondary organic aerosol (SOA). We generated SOA in situ by reacting biogenic alkenes (α-pinene, limonene, and α-humulene) with excess ozone, humidifying the resulting aerosol, and reacting the humidified aerosol with gaseous ammonia. We determined the complex refractive indices (RI) in the 360 – 420 nm range for these aerosols usingmore » broadband cavity enhanced spectroscopy (BBCES). The average real part (n) of the measured spectral range of the NH3-aged α-pinene SOA increased from n = 1.50 (±0.01) for the unreacted SOA to n = 1.57 (± 0.01) after a 1.5h exposure to 1.9 ppm NH3; whereas,the imaginary component (k) remained below k < 0.001 (± 0.002). For the limonene and α-humulene SOA the real part did not change significantly, and we observed a small change in the imaginary component of the RI. The imaginary component increased from k = 0.0 to an average k= 0.029 (± 0.021) for α-humulene SOA, and from k < 0.001 (± 0.002) to an average k = 0.032 (±0.019) for limonene SOA after a 1.5 h exposure to 1.3 and 1.9 ppm of NH3, respectively. Collected filter samples of the aged and unreacted α-pinene SOA and limonene SOA were analyzed off-line with nanospray desorption electrospray ionization high resolution mass spectrometry (nano-DESI/HR-MS), and in-situ with a Time-of-Fligh Aerosol Mass Spectrometer, confirming that the SOA reacted and that various nitrogen-containing reaction products formed. If we assume that NH3 aging reactions scale linearly with time and concentration, then a 1.5 h reaction with 1 ppm NH3 in the laboratory is equivalent to 24 h reaction with 63 ppbv NH3, indicating that the observed aerosol absorption will be limited to atmospheric regions with high NH3 concentrations.« less
Flores, J M; Washenfelder, R A; Adler, G; Lee, H J; Segev, L; Laskin, J; Laskin, A; Nizkorodov, S A; Brown, S S; Rudich, Y
2014-06-14
Atmospheric absorption by brown carbon aerosol may play an important role in global radiative forcing. Brown carbon arises from both primary and secondary sources, but the mechanisms and reactions of the latter are highly uncertain. One proposed mechanism is the reaction of ammonia or amino acids with carbonyl products in secondary organic aerosol (SOA). We generated SOA in situ by reacting biogenic alkenes (α-pinene, limonene, and α-humulene) with excess ozone, humidifying the resulting aerosol, and reacting the humidified aerosol with gaseous ammonia. We determined the complex refractive indices (RI) in the 360-420 nm range for these aerosols using broadband cavity enhanced spectroscopy (BBCES). The average real part (n) of the measured spectral range of the NH3-aged α-pinene SOA increased from n = 1.50 (±0.01) for the unreacted SOA to n = 1.57 (±0.01) after 1.5 h of exposure to 1.9 ppm NH3, whereas the imaginary component (k) remained below k < 0.001((+0.002)(-0.001)). For the limonene and α-humulene SOA the real part did not change significantly, and we observed a small change in the imaginary component of the RI. The imaginary component increased from k = 0.000 to an average k = 0.029 (±0.021) for α-humulene SOA, and from k < 0.001((+0.002)(-0.001)) to an average k = 0.032 (±0.019) for limonene SOA after 1.5 h of exposure to 1.3 and 1.9 ppm of NH3, respectively. Collected filter samples of the aged and unreacted α-pinene SOA and limonene SOA were analyzed off-line by nanospray desorption electrospray ionization high resolution mass spectrometry (nano-DESI/HR-MS), and in situ using a Time-of-Flight Aerosol Mass Spectrometer (ToF-AMS), confirming that the SOA reacted and that various nitrogen-containing reaction products formed. If we assume that NH3 aging reactions scale linearly with time and concentration, which will not necessarily be the case in the atmosphere, then a 1.5 h reaction with 1 ppm NH3 in the laboratory is equivalent to 24 h reaction with 63 ppbv NH3, indicating that the observed aerosol absorption will be limited to atmospheric regions with high NH3 concentrations.
Dielectric studies on mobility of the glycosidic linkage in seven disaccharides.
Kaminski, K; Kaminska, E; Wlodarczyk, P; Pawlus, S; Kimla, D; Kasprzycka, A; Paluch, M; Ziolo, J; Szeja, W; Ngai, K L
2008-10-09
Isobaric dielectric relaxation measurements were performed on seven chosen disaccharides. For five of them, i.e., sucrose, maltose, trehalose, lactulose, and leucrose, we were able to observe the temperature evolution of the structural relaxation process. In the case of the other disaccharides studied (lactose and cellobiose), it was impossible to obtain such information because of the large contribution of the dc conductivity and polarization of the capacitor plates to the imaginary and real part of the complex permittivity, respectively. On the other hand, in the glassy state, two secondary relaxations have been identified in the dielectric spectra of all investigated carbohydrates. The faster one (gamma) is a common characteristic feature of the entire sugar family (mono-, di-, oligo-, and polysaccharide). The molecular origin of this process is still not unambiguously identified but is expected to involve intramolecular degrees of freedom as inferred from insensitivity of its relaxation time to pressure found in some monosaccharides (fructose and ribose). The slower one (labeled beta) was recently identified to be intermolecular in origin (i.e., a Johari-Goldstein (JG) beta-relaxation), involving twisting motion of the monosugar rings around the glycosidic bond. The activation energies and dielectric strengths for the beta-relaxation determined herein provide us valuable information about the flexibility of the glycosidic bond and the mobility of this particular linkage in the disaccharides studied. In turn, this information is essential for the control of the diffusivity of drugs or water entrapped in the sugar matrix.
Vertical Cloud Structure Of The 2009 Jupiter Impact Based On HST/WFC3 Observations
NASA Astrophysics Data System (ADS)
Perez-Hoyos, Santiago; Sanz-Requena, J. F.; Sanchez-Lavega, A.; Wong, M.; Hueso, R.; Hammel, H. B.; Orton, G. S.; Fletcher, L. N.; de Pater, I.; Simon-Miller, A. A.; Clarke, J. T.; Noll, K.; Yanamandra-Fisher, P. A.
2010-10-01
The impact of a body of unknown origin with Jupiter in July 2009 (Sánchez-Lavega et al., Astrophys. J. Lett, Vol. 715, L155. 2010) produced an intense perturbation of the planet's atmosphere at the visible levels. The perturbation was caused by dense aerosol material; this strongly absorbing material expanded steadily as it was advected by the local winds. This phenomenon was observed at high spatial resolution by the Hubble Space Telescope in July, August, September and November 2009 with recently installed Wide Field Camera 3. In this work, we present radiative transfer modeling of the observed reflectivity in the near UV (200nm) to near IR (950nm) range. The geometrical and spectral variations of reflectivity elucidate the main particle properties (optical thickness, size, imaginary refractive index) and their temporal evolution. The aerosol particles that formed during the impact have a mean radius of about 1 micron and are located high in the atmosphere (above 10 mbar), in good agreement ith ground-based observations in deep methane absorption bands in the near infrared. The density of this particle layer decreases with time until it approaches that of the pre-impact atmosphere. These results are also discussed in terms of what we know from other impacts in Jupiter (1994's SL9 event and 2010's bolide). Acknowledgements: SPH, ASL and RH are supported by the Spanish MICIIN AYA2009-10701 with FEDER and Grupos Gobierno Vasco IT-464-07.
Method of detecting system function by measuring frequency response
NASA Technical Reports Server (NTRS)
Morrison, John L. (Inventor); Morrison, William H. (Inventor); Christophersen, Jon P. (Inventor)
2012-01-01
Real-time battery impedance spectrum is acquired using a one-time record. Fast Summation Transformation (FST) is a parallel method of acquiring a real-time battery impedance spectrum using a one-time record that enables battery diagnostics. An excitation current to a battery is a sum of equal amplitude sine waves of frequencies that are octave harmonics spread over a range of interest. A sample frequency is also octave and harmonically related to all frequencies in the sum. The time profile of this signal has a duration that is a few periods of the lowest frequency. The voltage response of the battery, average deleted, is the impedance of the battery in the time domain. Since the excitation frequencies are known and octave and harmonically related, a simple algorithm, FST, processes the time record by rectifying relative to the sine and cosine of each frequency. Another algorithm yields real and imaginary components for each frequency.
Method of detecting system function by measuring frequency response
Morrison, John L [Butte, MT; Morrison, William H [Manchester, CT; Christophersen, Jon P [Idaho Falls, ID
2012-04-03
Real-time battery impedance spectrum is acquired using a one-time record. Fast Summation Transformation (FST) is a parallel method of acquiring a real-time battery impedance spectrum using a one-time record that enables battery diagnostics. An excitation current to a battery is a sum of equal amplitude sine waves of frequencies that are octave harmonics spread over a range of interest. A sample frequency is also octave and harmonically related to all frequencies in the sum. The time profile of this signal has a duration that is a few periods of the lowest frequency. The voltage response of the battery, average deleted, is the impedance of the battery in the time domain. Since the excitation frequencies are known and octave and harmonically related, a simple algorithm, FST, processes the time record by rectifying relative to the sine and cosine of each frequency. Another algorithm yields real and imaginary components for each frequency.
The singularity of being: Lacan and the immortal within.
Ruti, Mari
2010-12-01
Drawing on the work of Eric Santner, Slavoj Žižek, and Alenka Zupančič, this paper constructs a theory of subjective singularity from a Lacanian perspective. It argues that, unlike the "subject" (who comes into existence as a result of symbolic prohibition), or the "person" (who is aligned with the narcissistic conceits of the imaginary), the singular self emerges in response to a galvanizing directive arising from the real. This directive summons the individual to a "character" beyond his or her social and intersubjective investments. Consequently, singularity expresses the individual's nonnegotiable distinctiveness, eccentricity, or idiosyncrasy at the same time as it prevents both symbolic and imaginary closure. It opens to layers of rebelliousness that indicate that there are components of human life that exceed the realm of normative sociality. Indeed, insofar as singularity articulates something about the "undead" pulse of jouissance, it connects the individual to a paradoxical kind of immortality. This does not mean that the individual will not die, but rather that he or she is capable of "transcendent" experiences, such as heightened states of creativity, that (always momentarily) reach "outside" the parameters of mortal life. Such experiences allow the individual to feel "real" in ways that fend off symbolic abduction and psychic death.
NASA Astrophysics Data System (ADS)
Kesavulu, C. R.; Moncorgé, R.; Fromager, M.; Ait-Ameur, K.; Catunda, T.
2018-04-01
The electronic refractive index variation is associated with the difference in the polarizabilities (Δαp) of the Cr3+ ion in its ground and excited states. In order to further address the physical origin of Δαp in a Cr3+-doped YAG crystal, time-resolved Z-scan measurements were performed and analyzed at λ = 457 nm by using a chopped Ar+ ion laser. It is found a nonlinear refractive index with the real and imaginary parts n2‧ = 2.2 × 10-8 cm2/W and n2‧‧ = 2.8 × 10-10 cm2/W, respectively. The real part is associated with a polarizability difference Δαp = 2.2 × 10-25 cm3. The imaginary part indicates that excited state absorption (ESA) occurs and that Cr:YAG behaves as a saturable absorber. The transient response of the Z-scan signal decreases with the laser intensity as τ-1 = τo-1(1+I/Is), where τo is the excited state lifetime and Is the saturation intensity. By measuring this transient response at different laser intensities, it was possible to confirm the τo value which can be derived from fluorescence measurements and to determine a Is value of 8.3 kW/cm2.
NASA Astrophysics Data System (ADS)
Gomonnai, O. O.; Gordan, O.; Guranich, P. P.; Slivka, A. G.; Gomonnai, A. V.; Zahn, D. R. T.
2017-12-01
Real and imaginary parts of the dielectric function of TlIn(S1-xSex)2 (x = 0.05, 0.08, 0.25) single crystals were determined in the spectral range from 1 to 5 eV within a temperature interval 140-293 K from spectroscopic ellipsometry measurements. The energies of interband transitions (critical points) of the TlIn(S1-xSex)2 crystals were obtained from the second derivative of the real and imaginary parts of dielectric function. Structural phase transitions are behind the observed change of electronic band structure.
Electronic and optical properties of double perovskite Ba2VMoO6: FP-LAPW study
NASA Astrophysics Data System (ADS)
Hnamte, Lalhriatpuia; Sandeep, Joshi, Himanshu; Thapa, R. K.
2018-05-01
The calculation is carried out using the FPLAPW method in the DFT framework within mBJ and LDA using the WIEN2k code. The investigation of electronic properties showed Ba2VMoO6 to be semi-metal in spin-up and insulation in spin down. In both spin up and spin down channel, direct band gap along with indirect band gap in ΓX direction was observed. For investigation of the optical transitions in this compound, the real and imaginary parts of the dielectric function, reflectivity, refractive index and optical conductivity of real and imaginary parts are calculated and analysed.
Normal state of metallic hydrogen sulfide
NASA Astrophysics Data System (ADS)
Kudryashov, N. A.; Kutukov, A. A.; Mazur, E. A.
2017-02-01
A generalized theory of the normal properties of metals in the case of electron-phonon (EP) systems with a nonconstant density of electron states has been used to study the normal state of the SH3 and SH2 phases of hydrogen sulfide at different pressures. The frequency dependence of the real Re Σ (ω) and imaginary ImΣ (ω) parts of the self-energy Σ (ω) part (SEP) of the Green's function of the electron Σ (ω), real part Re Z (ω), and imaginary part Im Z (ω) of the complex renormalization of the mass of the electron; the real part Re χ (ω) and the imaginary part Imχ (ω) of the complex renormalization of the chemical potential; and the density of electron states N (ɛ) renormalized by strong electron-phonon interaction have been calculated. Calculations have been carried out for the stable orthorhombic structure (space group Im3¯ m) of the hydrogen sulfide SH3 for three values of the pressure P = 170, 180, and 225 GPa; and for an SH2 structure with a symmetry of I4/ mmm ( D4 h1¯7) for three values of pressure P = 150, 180, and 225 GP at temperature T = 200 K.
Dielectric relaxation in complex perovskite oxide In(Ni{sub 1/2}Zr{sub 1/2})O{sub 3}
DOE Office of Scientific and Technical Information (OSTI.GOV)
Agrawal, Lata, E-mail: lata_agrawal84@yahoo.com; Singh, B.P.; Sinha, T.P.
2009-09-15
The dielectric study of indium nickel zirconate, In(Ni{sub 1/2}Zr{sub 1/2})O{sub 3} (INZ) synthesized by solid state reaction technique is performed in a frequency range from 500 Hz to 1 MHz and in a temperature range from 303 to 493 K. The X-ray diffraction analysis shows that the compound is monoclinic. A relaxation is observed in the entire temperature range as a gradual decrease in {epsilon}'({omega}) and as a broad peak in {epsilon}''({omega}) in the frequency dependent real and imaginary parts of dielectric constant, respectively. The frequency dependent electrical data are analyzed in the framework of conductivity and electric modulus formalisms.more » The frequencies corresponding to the maxima of the imaginary electric modulus at various temperatures are found to obey an Arrhenius law with activation energy of 0.66 eV. The Cole-Cole model is used to study the dielectric relaxation of INZ. The scaling behaviour of imaginary part of electric modulus suggests that the relaxation describes the same mechanism at various temperatures. The frequency dependent conductivity spectra follow the universal power law.« less
Functional MR imaging and traumatic paraplegia: preliminary report.
Sabbah, P; Lévêque, C; Pfefer, F; Nioche, C; Gay, S; Sarrazin, J L; Barouti, H; Tadie, M; Cordoliani, Y S
2000-12-01
To evaluate residual activity in the sensorimotor cortex of the lower limbs in paraplegia. 5 patients suffering from a complete paralysis after traumatic medullar lesion (ASIA=A). Clinical evaluation of motility and sensitivity. 1. Control functional MR study of the sensorimotor cortex during simultaneous movements of hands, imaginary motor task and passive hands stimulation. 2. Concerning the lower limbs, 3 fMRI conditions: 1-patient attempts to move his toes with flexion-extension, 2-mental imagery task of the same movement, 3-peripheral passive proprio-somesthesic stimulation (squeezing) of the big toes. Activations were observed in the primary sensorimotor cortex (M1), premotor regions and in the supplementary motor area (SMA) during movement and mental imaginary tasks in the control study and during attempt to move and mental imaginary tasks in the study concerning the lower limbs. Passive somesthesic stimulation generated activation posterior to the central sulcus for 2 patients. Activations in the sensorimotor cortex of the lower limbs can be generated either by attempting to move or mental evocation. In spite of a clinical evaluation of complete paraplegia, fMRI can show a persistence of sensitive anatomic conduction, confirmed by Somesthesic Evoked Potentials.
The complex phase gradient method applied to leaky Lamb waves.
Lenoir, O; Conoir, J M; Izbicki, J L
2002-10-01
The classical phase gradient method applied to the characterization of the angular resonances of an immersed elastic plate, i.e., the angular poles of its reflection coefficient R, was proved to be efficient when their real parts are close to the real zeros of R and their imaginary parts are not too large compared to their real parts. This method consists of plotting the partial reflection coefficient phase derivative with respect to the sine of the incidence angle, considered as real, versus incidence angle. In the vicinity of a resonance, this curve exhibits a Breit-Wigner shape, whose minimum is located at the pole real part and whose amplitude is the inverse of its imaginary part. However, when the imaginary part is large, this method is not sufficiently accurate compared to the exact calculation of the complex angular root. An improvement of this method consists of plotting, in 3D, in the complex angle plane and at a given frequency, the angular phase derivative with respect to the real part of the sine of the incidence angle, considered as complex. When the angular pole is reached, the 3D curve shows a clear-cut transition whose position is easily obtained.
Diffuse Waves and Energy Densities Near Boundaries
NASA Astrophysics Data System (ADS)
Sanchez-Sesma, F. J.; Rodriguez-Castellanos, A.; Campillo, M.; Perton, M.; Luzon, F.; Perez-Ruiz, J. A.
2007-12-01
Green function can be retrieved from averaging cross correlations of motions within a diffuse field. In fact, it has been shown that for an elastic inhomogeneous, anisotropic medium under equipartitioned, isotropic illumination, the average cross correlations are proportional to the imaginary part of Green function. For instance coda waves are due to multiple scattering and their intensities follow diffusive regimes. Coda waves and the noise sample the medium and effectively carry information along their paths. In this work we explore the consequences of assuming both source and receiver at the same point. From the observable side, the autocorrelation is proportional to the energy density at a given point. On the other hand, the imaginary part of the Green function at the source itself is finite because the singularity of Green function is restricted to the real part. The energy density at a point is proportional with the trace of the imaginary part of Green function tensor at the source itself. The Green function availability may allow establishing the theoretical energy density of a seismic diffuse field generated by a background equipartitioned excitation. We study an elastic layer with free surface and overlaying a half space and compute the imaginary part of the Green function for various depths. We show that the resulting spectrum is indeed closely related to the layer dynamic response and the corresponding resonant frequencies are revealed. One implication of present findings lies in the fact that spatial variations may be useful in detecting the presence of a target by its signature in the distribution of diffuse energy. These results may be useful in assessing the seismic response of a given site if strong ground motions are scarce. It suffices having a reasonable illumination from micro earthquakes and noise. We consider that the imaginary part of Green function at the source is a spectral signature of the site. The relative importance of the peaks of this energy spectrum, ruling out non linear effects, may influence the seismic response for future earthquakes. Partial supports from DGAPA-UNAM, Project IN114706, Mexico; from Proyect MCyT CGL2005-05500-C02/BTE, Spain; from project DyETI of INSU-CNRS, France, and from the Instituto Mexicano del Petróleo are greatly appreciated.
Multiparticle Solutions in 2+1 Gravity and Time Machines
NASA Astrophysics Data System (ADS)
Steif, Alan R.
Multiparticle solutions for sources moving at the speed of light and corresponding to superpositions of single-particle plane-wave solutions are constructed in 2+1 gravity. It is shown that the two-particle spacetimes admit closed timelike curves provided the center-of-momentum energy exceeds a certain critical value. This occurs, however, at the cost of unphysical boundary conditions which are analogous to those affecting Gott’s time machine. As the energy exceeds the critical value, the closed timelike curves first occur at spatial infinity, then migrate inward as the energy is further increased. The total mass of the system also becomes imaginary for particle energies greater than the critical value.
Rabani, Eran; Reichman, David R.; Krilov, Goran; Berne, Bruce J.
2002-01-01
We present a method based on augmenting an exact relation between a frequency-dependent diffusion constant and the imaginary time velocity autocorrelation function, combined with the maximum entropy numerical analytic continuation approach to study transport properties in quantum liquids. The method is applied to the case of liquid para-hydrogen at two thermodynamic state points: a liquid near the triple point and a high-temperature liquid. Good agreement for the self-diffusion constant and for the real-time velocity autocorrelation function is obtained in comparison to experimental measurements and other theoretical predictions. Improvement of the methodology and future applications are discussed. PMID:11830656
Loukachevitch, V V; Aldushchenkov, A V
2005-01-01
It is proposed within the framework of Ramsey's method to register two-dimensional spectra, depending on the neutron phase and neutron energy, for measuring parity (P) and time (T) violating amplitudes of the interaction of polarized neutrons with polarized (139)La nuclei in region of the p-wave resonance. The form of the phase spectrum and corresponding expressions for the asymmetries are obtained on the basis of a formalism of a spin density matrix. It is shown that the ratio of the P,T,-violating to P-violating imaginary amplitudes can be obtained from the measurements of the neutron phase spectrum with polarized and unpolarized (139)La target.
Broadband CARS spectral phase retrieval using a time-domain Kramers–Kronig transform
Liu, Yuexin; Lee, Young Jong; Cicerone, Marcus T.
2014-01-01
We describe a closed-form approach for performing a Kramers–Kronig (KK) transform that can be used to rapidly and reliably retrieve the phase, and thus the resonant imaginary component, from a broadband coherent anti-Stokes Raman scattering (CARS) spectrum with a nonflat background. In this approach we transform the frequency-domain data to the time domain, perform an operation that ensures a causality criterion is met, then transform back to the frequency domain. The fact that this method handles causality in the time domain allows us to conveniently account for spectrally varying nonresonant background from CARS as a response function with a finite rise time. A phase error accompanies KK transform of data with finite frequency range. In examples shown here, that phase error leads to small (<1%) errors in the retrieved resonant spectra. PMID:19412273
ERIC Educational Resources Information Center
Gardner, Martin
1978-01-01
Describes zoo creatures of interest to recreational mathematicians. Includes the geometrical symmetries of micro- and macroorganisms, topological studies, and imaginary creatures of scientific interest. (MA)
Single and Double Photoionization of Mg
NASA Astrophysics Data System (ADS)
Abdel-Naby, Shahin; Pindzola, M. S.; Colgan, J.
2014-05-01
Single and double photoionization cross sections for Mg are calculated using a time-dependent close-coupling method. The correlation between the two 3 s subshell electrons of Mg is obtained by relaxation of the close-coupled equations in imaginary time. An implicit method is used to propagate the close-coupled equations in real time to obtain single and double ionization cross sections for Mg. Energy and angle triple differential cross sections for double photoionization at equal energy sharing of E1 =E2 = 16 . 4 eV are compared with Elettra experiments and previous theoretical calculations. This work was supported in part by grants from NSF and US DoE. Computational work was carried out at NERSC in Oakland, California, NICS in Knoxville, Tennessee, and OLCF in Oak Ridge, Tennessee.
Mueller matrix characterization of flexible plastic substrates
NASA Astrophysics Data System (ADS)
Hong, Nina; Synowicki, Ron A.; Hilfiker, James N.
2017-11-01
This work reports on Mueller matrix spectroscopic ellipsometry characterization of various flexible plastic substrates that are optically anisotropic with varying degrees of birefringence. The samples are divided into three groups according to the suggested characterization strategy: low birefringence, high birefringence, and twisted birefringence. The first group includes poly(methyl methacrylate) and cyclic olefin copolymer substrates. These are modeled with biaxial anisotropy for the real part of the refractive index while the imaginary part is approximated as isotropic due to small light absorption. The second group includes polyethylene terephthalate and polyethylene naphthalate substrates, which are modeled with biaxial anisotropy for both real and imaginary refractive indices. Lastly, a polyimide substrate is described as two birefringent layers with twisted in-plane orientation.
Thermal width of the upsilon at large 't Hooft coupling.
Noronha, Jorge; Dumitru, Adrian
2009-10-09
We use the anti-de Sitter/conformal field theory correspondence to show that the heavy quark (static) potential in a strongly coupled plasma develops an imaginary part at finite temperature. Thus, deeply bound heavy quarkonia states acquire a small nonzero thermal width when the 't Hooft coupling lambda = g2N(c) > 1 and the number of colors N(c) --> infinity. In the dual gravity description, this imaginary contribution comes from thermal fluctuations around the bottom of the classical sagging string in the bulk that connects the heavy quarks located at the boundary. We predict a strong suppression of Upsilon's in heavy-ion collisions and discuss how this may be used to estimate the initial temperature.
NASA Technical Reports Server (NTRS)
Sasson, R.; Wright, R.; Arakawa, E. T.; Khare, B. N.; Sagan, C.
1985-01-01
The real part of the refractive index of liquid sulfur and solid orthorhombic sulfur was measured in the 0.4-2.0 micron range, with reference to applications to Venus, Jupiter, Amalthea, Io, and the earth. The imaginary part of the refractive index of liquid sulfur was also measured, and the reflectance of semiinfinite slabs of solid and liquid sulfur was calculated on the basis of the measured values of the real and imaginary parts of the refractive index. The conclusion that liquid sulfur melts on Io would be classified as 'black' by the Voyager spectrophotometric analysis is confirmed.
Superior pattern processing is the essence of the evolved human brain
Mattson, Mark P.
2014-01-01
Humans have long pondered the nature of their mind/brain and, particularly why its capacities for reasoning, communication and abstract thought are far superior to other species, including closely related anthropoids. This article considers superior pattern processing (SPP) as the fundamental basis of most, if not all, unique features of the human brain including intelligence, language, imagination, invention, and the belief in imaginary entities such as ghosts and gods. SPP involves the electrochemical, neuronal network-based, encoding, integration, and transfer to other individuals of perceived or mentally-fabricated patterns. During human evolution, pattern processing capabilities became increasingly sophisticated as the result of expansion of the cerebral cortex, particularly the prefrontal cortex and regions involved in processing of images. Specific patterns, real or imagined, are reinforced by emotional experiences, indoctrination and even psychedelic drugs. Impaired or dysregulated SPP is fundamental to cognitive and psychiatric disorders. A broader understanding of SPP mechanisms, and their roles in normal and abnormal function of the human brain, may enable the development of interventions that reduce irrational decisions and destructive behaviors. PMID:25202234
A node-wise analysis of the uterine muscle networks for pregnancy monitoring.
Nader, N; Hassan, M; Falou, W; Marque, C; Khalil, M
2016-08-01
The recent past years have seen a noticeable increase of interest in the correlation analysis of electrohysterographic (EHG) signals in the perspective of improving the pregnancy monitoring. Here we propose a new approach based on the functional connectivity between multichannel (4×4 matrix) EHG signals recorded from the women's abdomen. The proposed pipeline includes i) the computation of the statistical couplings between the multichannel EHG signals, ii) the characterization of the connectivity matrices, computed by using the imaginary part of the coherence, based on the graph-theory analysis and iii) the use of these measures for pregnancy monitoring. The method was evaluated on a dataset of EHGs, in order to track the correlation between EHGs collected by each electrode of the matrix (called `node-wise' analysis) and follow their evolution along weeks before labor. Results showed that the strength of each node significantly increases from pregnancy to labor. Electrodes located on the median vertical axis of the uterus seemed to be the more discriminant. We speculate that the network-based analysis can be a very promising tool to improve pregnancy monitoring.
Field dependence of nonreciprocal magnons in chiral MnSi
NASA Astrophysics Data System (ADS)
Weber, T.; Waizner, J.; Tucker, G. S.; Georgii, R.; Kugler, M.; Bauer, A.; Pfleiderer, C.; Garst, M.; Böni, P.
2018-06-01
Spin waves in chiral magnetic materials are strongly influenced by the Dzyaloshinskii-Moriya interaction, resulting in intriguing phenomena like nonreciprocal magnon propagation and magnetochiral dichroism. Here, we study the nonreciprocal magnon spectrum of the archetypical chiral magnet MnSi and its evolution as a function of magnetic field covering the field-polarized and conical helix phase. Using inelastic neutron scattering, the magnon energies and their spectral weights are determined quantitatively after deconvolution with the instrumental resolution. In the field-polarized phase the imaginary part of the dynamical susceptibility χ''(ɛ ,q ) is shown to be asymmetric with respect to wave vectors q longitudinal to the applied magnetic field H , which is a hallmark of chiral magnetism. In the helimagnetic phase, χ''(ɛ ,q ) becomes increasingly symmetric with decreasing H due to the formation of helimagnon bands and the activation of additional spin-flip and non-spin-flip scattering channels. The neutron spectra are in excellent quantitative agreement with the low-energy theory of cubic chiral magnets with a single fitting parameter being the damping rate of spin waves.
Multilayer four-flux model for the optical degradation of thermal control coatings in space
NASA Astrophysics Data System (ADS)
Tonon, C.; Rozé, C.; Girasole, T.; Duvignacq, Carole
2017-11-01
The aim of this paper is to generalize the four-flux radiative transfer model to the case of a multilayer medium. An application is presented with the study of the optical degradation of a white paint in simulated space environment. This paint is constituted of a mixing a zinc oxide and a silicone resin. A sample was irradiated with 45 keV protons and reflectance measurements were achieved in situ after each step of irradiation in order to see the evolution of the thermo-optical properties of the coating. These tests were completed after irradiation by Scanning Electron Microscopy (SEM) in order to characterize the structure of the material and to detect possible structural changes due to the irradiation. This experimental investigation allowed us to define hypothesis to be introduced in the model. In particular, we assume that the optical degradation centered on 410 nm is due to a variation a-/+ of the imaginary part of the refractive index of zinc oxide in the damaged layer. The generalized four-flux model was validated by comparing numerical calculation with experiment.
Determination of tidal h Love number parameters in the diurnal band using an extensive VLBI data set
NASA Technical Reports Server (NTRS)
Mitrovica, J. X.; Davis, J. L.; Mathews, P. M.; Shapiro, I. I.
1994-01-01
We use over a decade of geodetic Very Long Baseline Interferometry (VLBI) data to estimate parameters in a resonance expansion of the frequency dependence of the tidal h(sub 2) Love number within the diurnal band. The resonance is associated with the retrograde free core nutation (RFCN). We obtain a value for the real part of the resonance strength of (-0.27 +/- 0.03) x 10(exp -3); a value of -0.19 x 10(exp -3) is predicted theoretically. Uncertainties in the VLBI estimates of the body tide radial displacement amplitudes are approximately 0.5 mm (1.1 mm for the K1 frequency), but they do not yield sufficiently small Love number uncertainties for placing useful constraints on the frequency of the RFCN, given the much smaller uncertainties obtained from independent analyses using nutation or gravimetric data. We also consider the imaginary part of the tidal h(sub 2) Love number. The estimated imaginary part of the resonance strength is (0.00 +/- 0.02) x 10(exp -3). The estimated imaginary part of the nonresonant component of the Love number implies a phase angle in the diurnal tidal response of the Earth of 0.7 deg +/- 0.5 deg (lag).
Struggling with imaginaries of trauma and trust: the refugee experience in Switzerland.
Gross, Corina Salis
2004-06-01
This article discusses some effects of migration politics on asylum seekers and refugees and on the Swiss health services. It is based on multisited ethnographic research that tracked interpretative concepts of the refugee experience. Following a grounded theory approach, it identifies imaginaries of trauma and trust as key categories in the field of transnational migration and health. The psychiatric concept of trauma and a more popularized discourse of traumatic memory are strongly emphasized in all of the investigated field sites: the providers of primary health care and psychosocial services and representatives of social welfare agencies and law-making bodies use this "diagnosis" extensively. This leads refugees to develop tactics of a) identifying with the trauma discourse in order to become "good refugees" and achieve legal status in Switzerland; b) struggling with the ascribed pathologies and suffering from retraumatizing effects of these predominant trauma policies; and c) trying to refuse or subvert them by emphasizing the existence of structural violence in the receiving countries. An analysis of the interactions of health providers and refugees shows that it takes place in an environment of social and economic insecurity and in a shared imaginary of (mis)trust, putting at stake the moral economy of recent migration politics and the refugee experience.
NASA Astrophysics Data System (ADS)
Painter, Terence J.
1996-10-01
The mnemonic derives from the mythical tale of Scylla and Charybdis in Homer's Odyssey (chapter 12). It takes the form of an imaginary headline in a newspaper: SCYLLA MEETS CHARYBDIS - EPIC NEWS MUCH ALARMS SICILY. The first two or three letters in each of these eight words remind the user that the nine configurational prefixes are scyllo-, meso-, (or myo-), chiro- [(+) and (-)], epi-, neo-, muco-, allo-, and cis-, respectively. The mnemonic also arranges the prefixes in an order that allows the configurations to be derived in a logical manner by performing a defined sequence of imaginary configurational inversions (epimerizations) around a cyclohexane ring. The all-equatorial, chair conformation of scyllo-inositol is selected as the starting point, and the sequence of inversions is defined by a systematic permutation of possibilities for performing one, two or three inversions in succession (1; 1 and 2; 1 and 3; 1 and 4; 1, 2 and 3; 1, 2 and 4; and finally 1, 3 and 5). In the case of the two chiro-inositols, the enantiomeric form is determined simply by the direction (clockwise or counterclockwise) around the ring in which the imaginary inversions are performed. This also applies formally to allo-inositol, but in that case the two optical enantiomers are isoenergetic chair conformers in rapid equilibrium.
Variational processes and stochastic versions of mechanics
NASA Astrophysics Data System (ADS)
Zambrini, J. C.
1986-09-01
The dynamical structure of any reasonable stochastic version of classical mechanics is investigated, including the version created by Nelson [E. Nelson, Quantum Fluctuations (Princeton U.P., Princeton, NJ, 1985); Phys. Rev. 150, 1079 (1966)] for the description of quantum phenomena. Two different theories result from this common structure. One of them is the imaginary time version of Nelson's theory, whose existence was unknown, and yields a radically new probabilistic interpretation of the heat equation. The existence and uniqueness of all the involved stochastic processes is shown under conditions suggested by the variational approach of Yasue [K. Yasue, J. Math. Phys. 22, 1010 (1981)].
Theory of Thomson scattering in inhomogeneous plasmas
NASA Astrophysics Data System (ADS)
Belyi, V. V.
2018-05-01
A self-consistent kinetic theory of Thomson scattering of an electromagnetic field by a nonuniform plasma is derived. We show that not only the imaginary part, but also the time and space derivatives of the real part of the dielectric susceptibility determine the amplitude and the width of the Thomson scattering spectral lines. As a result of inhomogeneity, these properties become asymmetric with respect to inversion of the sign of the frequency. Our theory provides a method of a remote probing and measurement of electron density gradients in plasma; this is based on the demonstrated asymmetry of the Thomson scattering lines.
NASA Astrophysics Data System (ADS)
Onley, David; Steinberg, Gary
2004-04-01
The consequences of the Special Theory of Relativity are explored in a virtual world in which the speed of light is only 10 m/s. Ray tracing software and other visualization tools, modified to allow for the finite speed of light, are employed to create a video that brings to life a journey through this imaginary world. The aberation of light, the Doppler effect, the altered perception of time and power of incoming radiation are explored in separate segments of this 35 min video. Several of the effects observed are new and quite unexpected. A commentary and animated explanations help keep the viewer from losing all perspective.
Lausberg, Hedda; Kazzer, Philipp; Heekeren, Hauke R; Wartenburger, Isabell
2015-10-01
Neuropsychological lesion studies evidence the necessity to differentiate between various forms of tool-related actions such as real tool use, tool use demonstration with tool in hand and without physical target object, and pantomime without tool in hand. However, thus far, neuroimaging studies have primarily focused only on investigating tool use pantomimes. The present fMRI study investigates pantomime without tool in hand as compared to tool use demonstration with tool in hand in order to explore patterns of cerebral signal modulation associated with acting with imaginary tools in hand. Fifteen participants performed with either hand (i) tool use pantomime with an imaginary tool in hand in response to visual tool presentation and (ii) tool use demonstration with tool in hand in response to visual-tactile tool presentation. In both conditions, no physical target object was present. The conjunction analysis of the right and left hands executions of tool use pantomime relative to tool use demonstration yielded significant activity in the left middle and superior temporal lobe. In contrast, demonstration relative to pantomime revealed large bihemispherically distributed homologous areas of activity. Thus far, fMRI studies have demonstrated the relevance of the left middle and superior temporal gyri in viewing, naming, and matching tools and related actions and contexts. Since in our study all these factors were equally (ir)relevant both in the tool use pantomime and the tool use demonstration conditions, the present findings enhance the knowledge about the function of these brain regions in tool-related cognitive processes. The two contrasted conditions only differ regarding the fact that the pantomime condition requires the individual to act with an imaginary tool in hand. Therefore, we suggest that the left middle and superior temporal gyri are specifically involved in integrating the projected mental image of a tool in the execution of a tool-specific movement concept. Copyright © 2015 Elsevier Ltd. All rights reserved.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Brennan, D. P.; Finn, J. M.
2014-10-15
Feedback stabilization of magnetohydrodynamic (MHD) modes in a tokamak is studied in a cylindrical model with a resistive wall, plasma resistivity, viscosity, and toroidal rotation. The control is based on a linear combination of the normal and tangential components of the magnetic field just inside the resistive wall. The feedback includes complex gain, for both the normal and for the tangential components, and it is known that the imaginary part of the feedback for the former is equivalent to plasma rotation [J. M. Finn and L. Chacon, Phys. Plasmas 11, 1866 (2004)]. The work includes (1) analysis with a reducedmore » resistive MHD model for a tokamak with finite β and with stepfunction current density and pressure profiles, and (2) computations with a full compressible visco-resistive MHD model with smooth decreasing profiles of current density and pressure. The equilibria are stable for β = 0 and the marginal stability values β{sub rp,rw} < β{sub rp,iw} < β{sub ip,rw} < β{sub ip,iw} (resistive plasma, resistive wall; resistive plasma, ideal wall; ideal plasma, resistive wall; and ideal plasma, ideal wall) are computed for both models. The main results are: (a) imaginary gain with normal sensors or plasma rotation stabilizes below β{sub rp,iw} because rotation suppresses the diffusion of flux from the plasma out through the wall and, more surprisingly, (b) rotation or imaginary gain with normal sensors destabilizes above β{sub rp,iw} because it prevents the feedback flux from entering the plasma through the resistive wall to form a virtual wall. A method of using complex gain G{sub i} to optimize in the presence of rotation in this regime with β > β{sub rp,iw} is presented. The effect of imaginary gain with tangential sensors is more complicated but essentially destabilizes above and below β{sub rp,iw}.« less
Remote sensing of soot carbon - Part 1: Distinguishing different absorbing aerosol species
NASA Astrophysics Data System (ADS)
Schuster, G. L.; Dubovik, O.; Arola, A.
2016-02-01
We describe a method of using the Aerosol Robotic Network (AERONET) size distributions and complex refractive indices to retrieve the relative proportion of carbonaceous aerosols and free iron minerals (hematite and goethite). We assume that soot carbon has a spectrally flat refractive index and enhanced imaginary indices at the 440 nm wavelength are caused by brown carbon or hematite. Carbonaceous aerosols can be separated from dust in imaginary refractive index space because 95 % of biomass burning aerosols have imaginary indices greater than 0.0042 at the 675-1020 nm wavelengths, and 95 % of dust has imaginary refractive indices of less than 0.0042 at those wavelengths. However, mixtures of these two types of particles can not be unambiguously partitioned on the basis of optical properties alone, so we also separate these particles by size. Regional and seasonal results are consistent with expectations. Monthly climatologies of fine mode soot carbon are less than 1.0 % by volume for West Africa and the Middle East, but the southern African and South American biomass burning sites have peak values of 3.0 and 1.7 %. Monthly averaged fine mode brown carbon volume fractions have a peak value of 5.8 % for West Africa, 2.1 % for the Middle East, 3.7 % for southern Africa, and 5.7 % for South America. Monthly climatologies of free iron volume fractions show little seasonal variability, and range from about 1.1 to 1.7 % for coarse mode aerosols in all four study regions. Finally, our sensitivity study indicates that the soot carbon retrieval is not sensitive to the component refractive indices or densities assumed for carbonaceous and free iron aerosols, and the retrieval differs by only 15.4 % when these parameters are altered from our chosen baseline values. The total uncertainty of retrieving soot carbon mass is ˜ 50 % (when uncertainty in the AERONET product and mixing state is included in the analysis).
Measurement of Scattering and Absorption Cross Sections of Dyed Microspheres
Gaigalas, Adolfas K; Choquette, Steven; Zhang, Yu-Zhong
2013-01-01
Measurements of absorbance and fluorescence emission were carried out on aqueous suspensions of polystyrene (PS) microspheres with a diameter of 2.5 µm using a spectrophotometer with an integrating sphere detector. The apparatus and the principles of measurements were described in our earlier publications. Microspheres with and without green BODIPY@ dye were measured. Placing the suspension inside an integrating sphere (IS) detector of the spectrophotometer yielded (after a correction for fluorescence emission) the absorbance (called A in the text) due to absorption by BODIPY@ dye inside the microsphere. An estimate of the absorbance due to scattering alone was obtained by subtracting the corrected BODIPY@ dye absorbance (A) from the measured absorbance of a suspension placed outside the IS detector (called A1 in the text). The absorption of the BODIPY@ dye inside the microsphere was analyzed using an imaginary index of refraction parameterized with three Gaussian-Lorentz functions. The Kramer-Kronig relation was used to estimate the contribution of the BODIPY@ dye to the real part of the microsphere index of refraction. The complex index of refraction, obtained from the analysis of A, was used to analyze the absorbance due to scattering ((A1- A) in the text). In practice, the analysis of the scattering absorbance, A1-A, and the absorbance, A, was carried out in an iterative manner. It was assumed that A depended primarily on the imaginary part of the microsphere index of refraction with the other parameters playing a secondary role. Therefore A was first analyzed using values of the other parameters obtained from a fit to the absorbance due to scattering, A1-A, with the imaginary part neglected. The imaginary part obtained from the analysis of A was then used to reanalyze A1-A, and obtain better estimates of the other parameters. After a few iterations, consistent estimates were obtained of the scattering and absorption cross sections in the wavelength region 300 nm to 800 nm. PMID:26401422
Investigations of black-hole spectra: Purely-imaginary modes and Kerr ringdown radiation
NASA Astrophysics Data System (ADS)
Zalutskiy, Maxim P.
When black holes are perturbed they give rise to characteristic waves that propagate outwards carrying information about the black hole. In the linear regime these waves are described in terms of quasinormal modes (QNM). Studying QNM is an important topic which may provide a connection to the quantum theory of gravity in addition to their astrophysical applications. Quasinormal modes correspond to complex frequencies where the real part represents oscillation and the imaginary part represents damping. We have developed a new code for calculating QNM with high precision and accuracy, which we applied to the Schwarzschild and Kerr geometries. The high accuracy of our calculations was a significant improvement over prior work, allowing us to compute QNM much closer to the negative imaginary axis (NIA) than it was possible before. The existence of QNM on the NIA has remained poorly understood, but our high accuracy studies have highlighted the importance of understanding their nature. In this work we show how the purely-imaginary modes can be calculated with the help of the theory of confluent Heun polynomials with the conclusion that all modes on the NIA correspond to polynomial solutions. We also show that certain types of these modes correspond to Kerr QNM. Finally, using our highly accurate QNM data we model the ringdown, a remnant black hole's decaying radiation. Ringdown occurs in the final stages of such violent astrophysical events as supernovae and black hole collisions. We use our model to analyse the ringdown waveforms from the publicly available binary black hole coalescence catalog maintained by the SXS collaboration. In our analysis we use a number of methods: Fourier transform, multi-mode nonlinear fitting and waveform overlap. Both our fitting and overlap approach allow inclusion of many modes in the ringdown model with the goal being to extract information about the nature of the astrophysical source of the ringdown signal.
The advantages of logarithmically scaled data for electromagnetic inversion
NASA Astrophysics Data System (ADS)
Wheelock, Brent; Constable, Steven; Key, Kerry
2015-06-01
Non-linear inversion algorithms traverse a data misfit space over multiple iterations of trial models in search of either a global minimum or some target misfit contour. The success of the algorithm in reaching that objective depends upon the smoothness and predictability of the misfit space. For any given observation, there is no absolute form a datum must take, and therefore no absolute definition for the misfit space; in fact, there are many alternatives. However, not all misfit spaces are equal in terms of promoting the success of inversion. In this work, we appraise three common forms that complex data take in electromagnetic geophysical methods: real and imaginary components, a power of amplitude and phase, and logarithmic amplitude and phase. We find that the optimal form is logarithmic amplitude and phase. Single-parameter misfit curves of log-amplitude and phase data for both magnetotelluric and controlled-source electromagnetic methods are the smoothest of the three data forms and do not exhibit flattening at low model resistivities. Synthetic, multiparameter, 2-D inversions illustrate that log-amplitude and phase is the most robust data form, converging to the target misfit contour in the fewest steps regardless of starting model and the amount of noise added to the data; inversions using the other two data forms run slower or fail under various starting models and proportions of noise. It is observed that inversion with log-amplitude and phase data is nearly two times faster in converging to a solution than with other data types. We also assess the statistical consequences of transforming data in the ways discussed in this paper. With the exception of real and imaginary components, which are assumed to be Gaussian, all other data types do not produce an expected mean-squared misfit value of 1.00 at the true model (a common assumption) as the errors in the complex data become large. We recommend that real and imaginary data with errors larger than 10 per cent of the complex amplitude be withheld from a log-amplitude and phase inversion rather than retaining them with large error-bars.
EEG-based classification of imaginary left and right foot movements using beta rebound.
Hashimoto, Yasunari; Ushiba, Junichi
2013-11-01
The purpose of this study was to investigate cortical lateralization of event-related (de)synchronization during left and right foot motor imagery tasks and to determine classification accuracy of the two imaginary movements in a brain-computer interface (BCI) paradigm. We recorded 31-channel scalp electroencephalograms (EEGs) from nine healthy subjects during brisk imagery tasks of left and right foot movements. EEG was analyzed with time-frequency maps and topographies, and the accuracy rate of classification between left and right foot movements was calculated. Beta rebound at the end of imagination (increase of EEG beta rhythm amplitude) was identified from the two EEGs derived from the right-shift and left-shift bipolar pairs at the vertex. This process enabled discrimination between right or left foot imagery at a high accuracy rate (maximum 81.6% in single trial analysis). These data suggest that foot motor imagery has potential to elicit left-right differences in EEG, while BCI using the unilateral foot imagery can achieve high classification accuracy, similar to ordinary BCI, based on hand motor imagery. By combining conventional discrimination techniques, the left-right discrimination of unilateral foot motor imagery provides a novel BCI system that could control a foot neuroprosthesis or a robotic foot. Copyright © 2013 International Federation of Clinical Neurophysiology. Published by Elsevier Ireland Ltd. All rights reserved.
Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
NASA Astrophysics Data System (ADS)
Klimchitskaya, G. L.; Mostepanenko, V. M.
2018-04-01
We analyze the concept of causality for the conductivity of graphene described by the Dirac model. It is recalled that the condition of causality leads to the analyticity of conductivity in the upper half-plane of complex frequencies and to the standard symmetry properties for its real and imaginary parts. This results in the Kramers-Kronig relations, which explicit form depends on whether the conductivity has no pole at zero frequency (as in the case of zero temperature when the band gap of graphene is larger than twice the chemical potential) or it has a pole (as in all other cases, specifically, at nonzero temperature). Through the direct analytic calculation it is shown that the real and imaginary parts of graphene conductivity, found recently on the basis of first principles of thermal quantum field theory using the polarization tensor in (2 +1 )-dimensional space-time, satisfy the Kramers-Kronig relations precisely. In so doing, the values of two integrals in the commonly used tables, which are also important for a wider area of dispersion relations in quantum field theory and elementary particle physics, are corrected. The obtained results are not of only fundamental theoretical character, but can be used as a guideline in testing the validity of different phenomenological approaches and for the interpretation of experimental data.
NASA Astrophysics Data System (ADS)
Fine, Dana S.; Sawin, Stephen
2017-01-01
Feynman's time-slicing construction approximates the path integral by a product, determined by a partition of a finite time interval, of approximate propagators. This paper formulates general conditions to impose on a short-time approximation to the propagator in a general class of imaginary-time quantum mechanics on a Riemannian manifold which ensure that these products converge. The limit defines a path integral which agrees pointwise with the heat kernel for a generalized Laplacian. The result is a rigorous construction of the propagator for supersymmetric quantum mechanics, with potential, as a path integral. Further, the class of Laplacians includes the square of the twisted Dirac operator, which corresponds to an extension of N = 1/2 supersymmetric quantum mechanics. General results on the rate of convergence of the approximate path integrals suffice in this case to derive the local version of the Atiyah-Singer index theorem.
Bulk locality and boundary creating operators
Nakayama, Yu; Ooguri, Hirosi
2015-10-19
Here, we formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers. This generalizes the recent proposal by Miyaji et al. for bulk local operators in the three dimensional AdS. We show that Ishibashi states for the global conformal symmetry in any dimensions and with the imaginary di-latation obey free field equations in AdS and that incorporating bulk interactions require their superpositions.more » We also comment on the recent proposals by Kabat et al., and by H. Verlinde.« less
Kramers-Kronig relations in Laser Intensity Modulation Method
DOE Office of Scientific and Technical Information (OSTI.GOV)
Tuncer, Enis
2006-01-01
In this short paper, the Kramers-Kronig relations for the Laser Intensity Modulation Method (LIMM) are presented to check the self-consistency of experimentally obtained complex current densities. The numerical procedure yields well defined, precise estimates for the real and the imaginary parts of the LIMM current density calculated from its imaginary and real parts, respectively. The procedure also determines an accurate high frequency real current value which appears to be an intrinsic material parameter similar to that of the dielectric permittivity at optical frequencies. Note that the problem considered here couples two different material properties, thermal and electrical, consequently the validitymore » of the Kramers-Kronig relation indicates that the problem is invariant and linear.« less
NASA Technical Reports Server (NTRS)
Perry, Boyd, III
2017-01-01
This paper identifies the unsteady aerodynamic forces and moments for a typical section contained in the NACA Report No. 496, "General Theory of Aerodynamic Instability and the Mechanism of Flutter," by Theodore Theodorsen. These quantities are named Theodorsen's aerodynamic forces (TAFs). The TAFs are compared to the generalized aerodynamic forces (GAFs) for a very high aspect ratio wing (AR = 20) at zero Mach number computed by the doublet lattice method. Agreement between TAFs and GAFs is very-good-to-excellent. The paper also reveals that simple proportionality relationships that are known to exist between the real parts of some GAFs and the imaginary parts of others also hold for the real and imaginary parts of the corresponding TAFs.
Phenomenological model to fit complex permittivity data of water from radio to optical frequencies.
Shubitidze, Fridon; Osterberg, Ulf
2007-04-01
A general factorized form of the dielectric function together with a fractional model-based parameter estimation method is used to provide an accurate analytical formula for the complex refractive index in water for the frequency range 10(8)-10(16)Hz . The analytical formula is derived using a combination of a microscopic frequency-dependent rational function for adjusting zeros and poles of the dielectric dispersion together with the macroscopic statistical Fermi-Dirac distribution to provide a description of both the real and imaginary parts of the complex permittivity for water. The Fermi-Dirac distribution allows us to model the dramatic reduction in the imaginary part of the permittivity in the visible window of the water spectrum.
Drugs and the single woman: pharmacy, fashion, desire, and destitution in India.
Pinto, Sarah
2014-06-01
A cultural imaginary identified as "fashion" links single women with problems of desire in contemporary India, setting the stakes not only for independent living, but also for the ways distresses may be read and treated. From celebrity cases to films to clinical practices oriented around pharmaceuticals, the mechanisms of this imaginary locate female personhood at a series of critical junctures or "hinges," from pharmaceuticals to drugs of vice, from desire to expressions of disorder, and from singularity or independence to destitution. In each of these turns, as psychiatrists read female bodies for signs of affliction and media portray counter trajectories of aspiration and downfall, certain realities are shielded from consideration, including sexual violence in intimate settings.
Femtosecond time-domain observation of atmospheric absorption in the near-infrared spectrum
NASA Astrophysics Data System (ADS)
Hammond, T. J.; Monchocé, Sylvain; Zhang, Chunmei; Brown, Graham G.; Corkum, P. B.; Villeneuve, D. M.
2016-12-01
As light propagates through a medium, absorption caused by electronic or rovibrational transitions is evident in the transmitted spectrum. The incident electromagnetic field polarizes the medium and the absorption is due to the imaginary part of the linear susceptibility. In the time domain, the field establishes a coherence in the medium that radiates out of phase with the initial field. This coherence can persist for tens of picoseconds in atmospheric molecules such as H2O . We propagate a few-cycle laser pulse centered at 1.8 μ m through the atmosphere and measure the long-lasting molecular coherence in the time domain by high-order harmonic cross correlation. The measured optical free-induction decay of the pulse is compared with a calculation based on the calculated rovibrational spectrum of H2O absorption.
Method, system and computer-readable media for measuring impedance of an energy storage device
Morrison, John L.; Morrison, William H.; Christophersen, Jon P.; Motloch, Chester G.
2016-01-26
Real-time battery impedance spectrum is acquired using a one-time record. Fast Summation Transformation (FST) is a parallel method of acquiring a real-time battery impedance spectrum using a one-time record that enables battery diagnostics. An excitation current to a battery is a sum of equal amplitude sine waves of frequencies that are octave harmonics spread over a range of interest. A sample frequency is also octave and harmonically related to all frequencies in the sum. A time profile of this sampled signal has a duration that is a few periods of the lowest frequency. A voltage response of the battery, average deleted, is an impedance of the battery in a time domain. Since the excitation frequencies are known and octave and harmonically related, a simple algorithm, FST, processes the time profile by rectifying relative to sine and cosine of each frequency. Another algorithm yields real and imaginary components for each frequency.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Kim, Jeongnim; Reboredo, Fernando A.
The self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo J. Chem. Phys. {\\bf 136}, 204101 (2012)] and some ideas of the correlation function Monte Carlo approach [D. M. Ceperley and B. Bernu, J. Chem. Phys. {\\bf 89}, 6316 (1988)] are blended to obtain a method for the calculation of thermodynamic properties of many-body systems at low temperatures. In order to allow the evolution in imaginary time to describe the density matrix, we remove the fixed-node restriction using complex antisymmetric trial wave functions. A statistical method is derived for the calculation of finite temperature properties of many-body systemsmore » near the ground state. In the process we also obtain a parallel algorithm that optimizes the many-body basis of a small subspace of the many-body Hilbert space. This small subspace is optimized to have maximum overlap with the one expanded by the lower energy eigenstates of a many-body Hamiltonian. We show in a model system that the Helmholtz free energy is minimized within this subspace as the iteration number increases. We show that the subspace expanded by the small basis systematically converges towards the subspace expanded by the lowest energy eigenstates. Possible applications of this method to calculate the thermodynamic properties of many-body systems near the ground state are discussed. The resulting basis can be also used to accelerate the calculation of the ground or excited states with Quantum Monte Carlo.« less
NASA Astrophysics Data System (ADS)
Poltavsky, Igor; DiStasio, Robert A.; Tkatchenko, Alexandre
2018-03-01
Nuclear quantum effects (NQE), which include both zero-point motion and tunneling, exhibit quite an impressive range of influence over the equilibrium and dynamical properties of molecules and materials. In this work, we extend our recently proposed perturbed path-integral (PPI) approach for modeling NQE in molecular systems [I. Poltavsky and A. Tkatchenko, Chem. Sci. 7, 1368 (2016)], which successfully combines the advantages of thermodynamic perturbation theory with path-integral molecular dynamics (PIMD), in a number of important directions. First, we demonstrate the accuracy, performance, and general applicability of the PPI approach to both molecules and extended (condensed-phase) materials. Second, we derive a series of estimators within the PPI approach to enable calculations of structural properties such as radial distribution functions (RDFs) that exhibit rapid convergence with respect to the number of beads in the PIMD simulation. Finally, we introduce an effective nuclear temperature formalism within the framework of the PPI approach and demonstrate that such effective temperatures can be an extremely useful tool in quantitatively estimating the "quantumness" associated with different degrees of freedom in the system as well as providing a reliable quantitative assessment of the convergence of PIMD simulations. Since the PPI approach only requires the use of standard second-order imaginary-time PIMD simulations, these developments enable one to include a treatment of NQE in equilibrium thermodynamic properties (such as energies, heat capacities, and RDFs) with the accuracy of higher-order methods but at a fraction of the computational cost, thereby enabling first-principles modeling that simultaneously accounts for the quantum mechanical nature of both electrons and nuclei in large-scale molecules and materials.
A new hybrid active/passive sound absorber with variable surface impedance
NASA Astrophysics Data System (ADS)
Betgen, Benjamin; Galland, Marie-Annick
2011-07-01
The context of the present paper is the wall treatment of flow ducts, notably aero-engine nacelle intakes and outlets. For this purpose, hybrid active/passive absorbers have been developed at the LMFA for about 15 years. A hybrid cell combines passive absorbent properties of a porous layer and active control at its rear face. Active control is mainly used to increase absorption at low frequencies by cancelling the imaginary part of the surface impedance presented by the absorber. However, the optimal impedance (i.e. the one that produces the highest noise reduction) of an absorber for flow duct applications is generally complex and frequency dependent. A new hybrid absorber intended to realise any of impedance has therefore been developed. The new cell uses one microphone on each side of a resistive cloth. Normal velocity can then be deduced by a simple pressure difference, which allows an estimation of the surface impedance of the absorber. In order to obtain an error signal related to a target impedance, the target impedance has to be reproduced in time domain. The design of a stable and causal filter is a difficult task, considering the kind of frequency response we seek. An alternative way of representing the impedance in time domain is therefore given. The new error signal is integrated into a feedback control structure. Fast convergence and good stability are observed for a wide range of target impedances. Typical optimal impedances with a positive increasing real part and a negative decreasing imaginary part have been successfully realised. Measurements in a grazing-incidence tube show that the new complex impedance absorber clearly outperforms the former active absorber.
ERIC Educational Resources Information Center
Farris, Cynthia Cox
2002-01-01
Describes an art activity where children create imaginary character sculptures using clay. Discusses how the students created their creatures after first drawing their ideas and then painting their sculptures. (CMK)
ERIC Educational Resources Information Center
Reinemann, Deborah; Thomas, Jolie
2003-01-01
Explains a 4th grade lesson on oceans in which students create imaginary marine animals. Creatively assesses student understanding of habitat and adaptation. Overviews 14 lessons in the oceanography unit. (SOE)
Geometrical and Graphical Solutions of Quadratic Equations.
ERIC Educational Resources Information Center
Hornsby, E. John, Jr.
1990-01-01
Presented are several geometrical and graphical methods of solving quadratic equations. Discussed are Greek origins, Carlyle's method, von Staudt's method, fixed graph methods and imaginary solutions. (CW)
Dissipative instability in a partially ionised prominence plasma slab
NASA Astrophysics Data System (ADS)
Ballai, I.; Pintér, B.; Oliver, R.; Alexandrou, M.
2017-07-01
Aims: We aim to investigate the nature of dissipative instability appearing in a prominence planar thread filled with partially ionised plasma in the incompressible limit. The importance of partial ionisation is investigated in terms of the ionisation factor and the wavelength of sausage and kink waves propagating in the slab. Methods: In order to highlight the role of partial ionisation, we have constructed models describing various situations we can meet in solar prominence fine structure. Matching the solutions for the transversal component of the velocity and total pressure at the interfaces between the prominence slab and surrounding plasmas, we derived a dispersion relation whose imaginary part describes the evolution of the instability. Results were obtained in the limit of weak dissipation. We have investigated the appearance of instabilities in prominence dark plumes using single and two-fluid approximations. Results: Using simple analytical methods, we show that dissipative instabilities appear for flow speeds that are less than the Kelvin-Helmholtz instability threshold. The onset of instability is determined by the equilibrium flow strength, the ionisation factor of the plasma, the wavelength of waves and the ion-neutral collisional rate. For a given wavelength and for ionisation degrees closer to a neutral gas, the propagating waves become unstable for a narrow band of flow speeds, meaning that neutrals have a stabilising effect. Our results show that the partially ionised plasma describing prominence dark plumes becomes unstable only in a two-fluid (charged particles-neutrals) model, that is for periods that are smaller than the ion-neutral collision time. Conclusions: The present study improves our understanding of the complexity of dynamical processes and stability of solar prominences and the role partial ionisation in destabilising the plasma. We showed the necessity of two-fluid approximation when discussing the nature of instabilities: waves in a single fluid approximation show a great deal of stability. Our results clearly show that the problem of partial ionisation introduces new aspects of plasma stability with consequences on the evolution of partially ionised plasmas and solar prominences, in particular.
Self-energy behavior away from the Fermi surface in doped Mott insulators.
Merino, J; Gunnarsson, O; Kotliar, G
2016-02-03
We analyze self-energies of electrons away from the Fermi surface in doped Mott insulators using the dynamical cluster approximation to the Hubbard model. For large onsite repulsion, U, and hole doping, the magnitude of the self-energy for imaginary frequencies at the top of the band ([Formula: see text]) is enhanced with respect to the self-energy magnitude at the bottom of the band ([Formula: see text]). The self-energy behavior at these two [Formula: see text]-points is switched for electron doping. Although the hybridization is much larger for (0, 0) than for [Formula: see text], we demonstrate that this is not the origin of this difference. Isolated clusters under a downward shift of the chemical potential, [Formula: see text], at half-filling reproduce the overall self-energy behavior at (0, 0) and [Formula: see text] found in low hole doped embedded clusters. This happens although there is no change in the electronic structure of the isolated clusters. Our analysis shows that a downward shift of the chemical potential which weakly hole dopes the Mott insulator can lead to a large enhancement of the [Formula: see text] self-energy for imaginary frequencies which is not associated with electronic correlation effects, even in embedded clusters. Interpretations of the strength of electronic correlations based on self-energies for imaginary frequencies are, in general, misleading for states away from the Fermi surface.
Kletenik-Edelman, Orly; Reichman, David R; Rabani, Eran
2011-01-28
A novel quantum mode coupling theory combined with a kinetic approach is developed for the description of collective density fluctuations in quantum liquids characterized by Boltzmann statistics. Three mode-coupling approximations are presented and applied to study the dynamic response of para-hydrogen near the triple point and normal liquid helium above the λ-transition. The theory is compared with experimental results and to the exact imaginary time data generated by path integral Monte Carlo simulations. While for liquid para-hydrogen the combination of kinetic and quantum mode-coupling theory provides semi-quantitative results for both short and long time dynamics, it fails for normal liquid helium. A discussion of this failure based on the ideal gas limit is presented.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Zillich, Robert E., E-mail: robert.zillich@jku.at
2015-11-15
We construct an accurate imaginary time propagator for path integral Monte Carlo simulations for heterogeneous systems consisting of a mixture of atoms and molecules. We combine the pair density approximation, which is highly accurate but feasible only for the isotropic interactions between atoms, with the Takahashi–Imada approximation for general interactions. We present finite temperature simulations results for energy and structure of molecules–helium clusters X{sup 4}He{sub 20} (X=HCCH and LiH) which show a marked improvement over the Trotter approximation which has a 2nd-order time step bias. We show that the 4th-order corrections of the Takahashi–Imada approximation can also be applied perturbativelymore » to a 2nd-order simulation.« less
ERIC Educational Resources Information Center
Segal, Marilyn; Adcock, Don
1986-01-01
Presents different types of imaginary play for the elementary classroom. Covers areas such as play acting, puppets, music, and art as outlets for children's imagination. Outlines the teacher's role in facilitating imaginative play. (DR)
Determining the meson-nucleus potential - on the way to mesic states
NASA Astrophysics Data System (ADS)
Metag, Volker
2015-08-01
Experimental approaches to determine the real and imaginary part of the meson-nucleus potential are described. The experiments have been performed with the Crystal Barrel/TAPS detector at the electron accelerator ELSA (Bonn) and the Crystal Ball/TAPS detector at MAMI (Mainz). Measuring the transparency ratio as well as the excitation function and momentum distribution for photo production of ω and η' mesons, the imaginary part of the η'-nucleus potential is found to be smaller than the real part. In case of the ω meson the opposite is observed. This makes the η' meson a good candidate for the search for meson-nucleus bound states while no resolved ω mesic states can be expected. The results are discussed and compared to theoretical predictions. An outlook on future experiments is given.
Impedance method for measuring shear elasticity of liquids
NASA Astrophysics Data System (ADS)
Badmaev, B. B.; Dembelova, T. S.; Damdinov, B. B.; Gulgenov, Ch. Zh.
2017-11-01
Experimental results of studying low-frequency (74 kHz) shear elasticity of polymer liquids by the impedance method (analogous to the Mason method) are presented. A free-volume thick liquid layer is placed on the horizontal surface of a piezoelectric quartz crystal with dimensions 34.7 × 12 × 5.5 cm. The latter performs tangential vibrations at resonance frequency. The liquid layer experiences shear strain, and shear waves should propagate in it. From the theory of the method, it follows that, with an increase in the layer thickness, both real and imaginary resonance frequency shifts should exhibit damped oscillations and tend to limiting values. For the liquids under study, the imaginary frequency shift far exceeds the real one, which testifies to the presence of bulk shear elasticity.
A simple radiative transfer model of the high latitude mesospheric scattering layer
NASA Technical Reports Server (NTRS)
Hummel, J. R.
1974-01-01
A simple radiative transfer model of the particle layer found at 85 km over the summer poles is presented. The effects of the layer on the global radiative temperature, the polar region temperature, and the greenhouse effect are discussed. The estimated magnitude of the global radiative temperature change is 3.5 x .001 K to 2.2 x .01 K, depending on the value of the imaginary part of the particle index of refraction. The layer is shown to have a possible secondary influence on the temperature of the polar region while the contribution which the layer makes to the greenhouse effect is shown to be negligible. The imaginary part of the particle index of refraction is shown to be important in determining the attenuation properties of the layer.
Testa, Alessandro
2017-01-01
Abstract This article examines European festive culture through the lens of two ethnographic case studies of carnivals, conducted in Italy and the Czech Republic. The article analyses processes of meaning construction, cultural circulation, and reconfiguration of local traditions that are currently widely at work in rural and marginal European contexts. It explains why I propose to name the cultural complex shaped by those processes ‘popular Frazerism’. The article also argues that these phenomena are representative of a certain post-modern romantic imaginary of magic, antiquity, and primitiveness, and explores the symbolic sources and the social needs from which this imaginary draws its strengths and legitimacy. This article is the second part of a broader study divided into two parts. PMID:28824198
Fermi gases with imaginary mass imbalance and the sign problem in Monte-Carlo calculations
NASA Astrophysics Data System (ADS)
Roscher, Dietrich; Braun, Jens; Chen, Jiunn-Wei; Drut, Joaquín E.
2014-05-01
Fermi gases in strongly coupled regimes are inherently challenging for many-body methods. Although progress has been made analytically, quantitative results require ab initio numerical approaches, such as Monte-Carlo (MC) calculations. However, mass-imbalanced and spin-imbalanced gases are not accessible to MC calculations due to the infamous sign problem. For finite spin imbalance, the problem can be circumvented using imaginary polarizations and analytic continuation, and large parts of the phase diagram then become accessible. We propose to apply this strategy to the mass-imbalanced case, which opens up the possibility to study the associated phase diagram with MC calculations. We perform a first mean-field analysis which suggests that zero-temperature studies, as well as detecting a potential (tri)critical point, are feasible.
Nonparaxial wave beams and packets with general astigmatism
NASA Astrophysics Data System (ADS)
Kiselev, A. P.; Plachenov, A. B.; Chamorro-Posada, P.
2012-04-01
We present exact solutions of the wave equation involving an arbitrary wave form with a phase closely similar to the general astigmatic phase of paraxial wave optics. Special choices of the wave form allow general astigmatic beamlike and pulselike waves with a Gaussian-type unrestricted localization in space and time. These solutions are generalizations of the known Bateman-type waves obtained from the connection existing between beamlike solutions of the paraxial parabolic equation and relatively undistorted wave solutions of the wave equation. As a technical tool, we present a full description of parametrizations of 2×2 symmetric matrices with positive imaginary part, which arise in the theory of Gaussian beams.
Echocardiography-guided or "sided" pericardiocentesis.
Degirmencioglu, Aleks; Karakus, Gultekin; Güvenc, Tolga Sinan; Pinhan, Osman; Sipahi, Ilke; Akyol, Ahmet
2013-10-01
Echocardiography-guided pericardiocentesis is the first choice method for relieving cardiac tamponade, but the exact role of the echocardiography at the moment of the puncture is still controversial. In this report, detailed echocardiographic evaluation was performed in 21 consecutive patients with cardiac tamponade just before the pericardiocentesis. Appropriate needle position was determined according to the probe position using imaginary x, y, and z axes. Pericardiocentesis was performed successfully using this technique without simultaneous echocardiography and no complications were observed. We concluded that bedside echocardiography with detailed evaluation of the puncture site and angle is enough for pericardiocentesis instead of real time guiding. © 2013, Wiley Periodicals, Inc.
Far-Infrared Optical Conductivity Gap in Superconducting MgB2 Films
NASA Astrophysics Data System (ADS)
Kaindl, Robert A.; Carnahan, Marc A.; Orenstein, Joseph; Chemla, Daniel S.; Christen, Hans M.; Zhai, Hong-Ying; Paranthaman, Mariappan; Lowndes, Doug H.
2002-01-01
We report the first study of the optical conductivity of MgB 2 covering the range of its lowest-energy superconducting gap. Terahertz time-domain spectroscopy is utilized to determine the complex, frequency-dependent conductivity σ(ω) of thin films. The imaginary part reveals an inductive response due to the emergence of the superconducting condensate. The real part exhibits a strong depletion of oscillator strength near 5 meV resulting from the opening of a superconducting energy gap. The gap ratio of 2Δ0/kBTC~1.9 is well below the weak-coupling value, pointing to complex behavior in this novel superconductor.
Bound H dibaryon in flavor SU(3) limit of lattice QCD.
Inoue, Takashi; Ishii, Noriyoshi; Aoki, Sinya; Doi, Takumi; Hatsuda, Tetsuo; Ikeda, Yoichi; Murano, Keiko; Nemura, Hidekatsu; Sasaki, Kenji
2011-04-22
The flavor-singlet H dibaryon, which has strangeness -2 and baryon number 2, is studied by the approach recently developed for the baryon-baryon interactions in lattice QCD. The flavor-singlet central potential is derived from the spatial and imaginary-time dependence of the Nambu-Bethe-Salpeter wave function measured in N(f)=3 full QCD simulations with the lattice size of L≃2,3,4 fm. The potential is found to be insensitive to the volume, and it leads to a bound H dibaryon with the binding energy of 30-40 MeV for the pseudoscalar meson mass of 673-1015 MeV.
The demand to progress: critical nostalgia in LGBTQ cultural memory.
de Szegheo Lang, Tamara
2015-01-01
This article argues that, while representations of tragic lesbian, gay, bisexual, transgender, and queer (LGBTQ) histories are disseminated widely, positive aspects of the past must be largely pushed out of the cultural imaginary to support a vision of the present in which sexual rights and freedoms have been achieved. It proposes that this view relies on a linear progress narrative wherein the experiences of LGBTQ people are held as consistently improving over time. In considering the construction of cultural memory through popular media and art, it claims a nostalgic turn to the past as a useful political tool for dismantling the pacifying aspects of the present.
Design of linear quadratic regulators with eigenvalue placement in a specified region
NASA Technical Reports Server (NTRS)
Shieh, Leang-San; Zhen, Liu; Coleman, Norman P.
1990-01-01
Two linear quadratic regulators are developed for placing the closed-loop poles of linear multivariable continuous-time systems within the common region of an open sector, bounded by lines inclined at +/- pi/2k (for a specified integer k not less than 1) from the negative real axis, and the left-hand side of a line parallel to the imaginary axis in the complex s-plane, and simultaneously minimizing a quadratic performance index. The design procedure mainly involves the solution of either Liapunov equations or Riccati equations. The general expression for finding the lower bound of a constant gain gamma is also developed.
Linear quadratic regulators with eigenvalue placement in a specified region
NASA Technical Reports Server (NTRS)
Shieh, Leang S.; Dib, Hani M.; Ganesan, Sekar
1988-01-01
A linear optimal quadratic regulator is developed for optimally placing the closed-loop poles of multivariable continuous-time systems within the common region of an open sector, bounded by lines inclined at + or - pi/2k (k = 2 or 3) from the negative real axis with a sector angle of pi/2 or less, and the left-hand side of a line parallel to the imaginary axis in the complex s-plane. The design method is mainly based on the solution of a linear matrix Liapunov equation, and the resultant closed-loop system with its eigenvalues in the desired region is optimal with respect to a quadratic performance index.
ERIC Educational Resources Information Center
Baumgartel, Marguerite; Lamb, Louise
1979-01-01
Presented is a very short story about a visit to an unknown, imaginary planet. The story is designed to provoke creative artistic responses from elementary level children in an art education class. (KC)
Formulating viscous hydrodynamics for large velocity gradients
DOE Office of Scientific and Technical Information (OSTI.GOV)
Pratt, Scott
2008-02-15
Viscous corrections to relativistic hydrodynamics, which are usually formulated for small velocity gradients, have recently been extended from Navier-Stokes formulations to a class of treatments based on Israel-Stewart equations. Israel-Stewart treatments, which treat the spatial components of the stress-energy tensor {tau}{sub ij} as dynamical objects, introduce new parameters, such as the relaxation times describing nonequilibrium behavior of the elements {tau}{sub ij}. By considering linear response theory and entropy constraints, we show how the additional parameters are related to fluctuations of {tau}{sub ij}. Furthermore, the Israel-Stewart parameters are analyzed for their ability to provide stable and physical solutions for sound waves.more » Finally, it is shown how these parameters, which are naturally described by correlation functions in real time, might be constrained by lattice calculations, which are based on path-integral formulations in imaginary time.« less
14 CFR 77.28 - Military airport imaginary surfaces.
Code of Federal Regulations, 2010 CFR
2010-01-01
... (CONTINUED) AIRSPACE OBJECTS AFFECTING NAVIGABLE AIRSPACE Obstruction Standards § 77.28 Military airport.... These surfaces connect the primary surfaces, the first 200 feet of the clear zone surfaces, and the...
DOE Office of Scientific and Technical Information (OSTI.GOV)
Olendski, O., E-mail: oolendski@ksu.edu.sa
2011-06-15
Highlights: > Solutions of the wave equation are analyzed for the confined circular geometry with complex Robin boundary conditions. > Sharp extremum is found in the energy dependence on the imaginary part of the extrapolation length. > Nonzero real part of the Robin length or/and magnetic field wipe out the resonance. - Abstract: Solutions of the scalar Helmholtz wave equation are derived for the analysis of the transport and thermodynamic properties of the two-dimensional disk and three-dimensional infinitely long straight wire in the external uniform longitudinal magnetic field B under the assumption that the Robin boundary condition contains extrapolation lengthmore » {Lambda} with nonzero imaginary part {Lambda}{sub i}. As a result of this complexity, the self-adjointness of the Hamiltonian is lost, its eigenvalues E become complex too and the discrete bound states of the disk characteristic for the real {Lambda} turn into the corresponding quasibound states with their lifetime defined by the eigenenergies imaginary parts E{sub i}. Accordingly, the longitudinal flux undergoes an alteration as it flows along the wire with its attenuation/amplification being E{sub i}-dependent too. It is shown that, for zero magnetic field, the component E{sub i} as a function of the Robin imaginary part exhibits a pronounced sharp extremum with its magnitude being the largest for the zero real part {Lambda}{sub r} of the extrapolation length. Increasing magnitude of {Lambda}{sub r} quenches the E{sub i} - {Lambda}{sub i} resonance and at very large {Lambda}{sub r} the eigenenergies E approach the asymptotic real values independent of {Lambda}{sub i}. The extremum is also wiped out by the magnetic field when, for the large B, the energies tend to the Landau levels. Mathematical and physical interpretations of the obtained results are provided; in particular, it is shown that the finite lifetime of the disk quasibound states stems from the {Lambda}{sub i}-induced currents flowing through the sample boundary. Possible experimental tests of the calculated effect are discussed; namely, it is argued that it can be observed in superconductors by applying to them the external electric field E normal to the surface.« less
DOE Office of Scientific and Technical Information (OSTI.GOV)
Zhao, Yanlin; Wang, Mi; Yao, Jun
2014-04-11
Electrical impedance tomography (EIT) is one of the process tomography techniques to provide an on-line non-invasive imaging for multiphase flow measurement. With EIT measurements, the images of impedance real part, impedance imaginary part, phase angle, and magnitude can be obtained. However, most of the applications of EIT in the process industries rely on the conductivity difference between two phases in fluids to obtain the concentration profiles. It is not common to use the imaginary part or phase angle due to the dominant change in conductivity or complication in the use of other impedance information. In a solid-liquid two phases systemmore » involving nano- or submicro-particles, characterisation of particles (e.g. particle size and concentration) have to rely on the measurement of impedance phase angle or imaginary part. Particles in a solution usually have an electrical double layer associated with their surfaces and can form an induced electrical dipole moment due to the polarization of the electrical double layer under the influence of an alternating electric field. Similar to EIT, electrical impedance spectroscopy (EIS) measurement can record the electrical impedance data, including impedance real part, imaginary part and phase angle (θ), which are caused by the polarization of the electrical double layer. These impedance data are related to the particle characteristics e.g. particle size, particle and ionic concentrations in the aqueous medium, therefore EIS method provides a capability for characterising the particles in suspensions. Electrical impedance tomography based on EIS measurement or namely, electrical impedance tomography spectroscopy (EITS) could image the spatial distribution of particle characteristics. In this paper, a new method, including test set-up and data analysis, for characterisation of particles in suspensions are developed through the experimental approach. The experimental results on tomographic imaging of colloidal particles based on EIS measurement using a sensor of 8 electrodes are reported. Results have demonstrated the potential as well as revealed the challenge in the use of EIS and EITS for characterisation of particle in suspension.« less
Knowing what would happen: The epistemic strategies in Galileo's thought experiments.
Camilleri, Kristian
2015-12-01
While philosophers have subjected Galileo's classic thought experiments to critical analysis, they have tended to largely ignored the historical and intellectual context in which they were deployed, and the specific role they played in Galileo's overall vision of science. In this paper I investigate Galileo's use of thought experiments, by focusing on the epistemic and rhetorical strategies that he employed in attempting to answer the question of how one can know what would happen in an imaginary scenario. Here I argue we can find three different answers to this question in Galileo later dialogues, which reflect the changing meanings of 'experience' and 'knowledge' (scientia) in the early modern period. Once we recognise that Galileo's thought experiments sometimes drew on the power of memory and the explicit appeal to 'common experience', while at other times, they took the form of demonstrative arguments intended to have the status of necessary truths; and on still other occasions, they were extrapolations, or probable guesses, drawn from a carefully planned series of controlled experiments, it becomes evident that no single account of the epistemological relationship between thought experiment, experience and experiment can adequately capture the epistemic variety we find Galileo's use of imaginary scenarios. To this extent, we cannot neatly classify Galileo's use of thought experiments as either 'medieval' or 'early modern', but we should see them as indicative of the complex epistemological transformations of the early seventeenth century. Copyright © 2015 Elsevier Ltd. All rights reserved.
NASA Astrophysics Data System (ADS)
Burnier, Yannis; Kaczmarek, Olaf; Rothkopf, Alexander
2016-01-01
We report recent results of a non-perturbative determination of the static heavy-quark potential in quenched and dynamical lattice QCD at finite temperature. The real and imaginary part of this complex quantity are extracted from the spectral function of Wilson line correlators in Coulomb gauge. To obtain spectral information from Euclidean time numerical data, our study relies on a novel Bayesian prescription that differs from the Maximum Entropy Method. We perform simulations on quenched 323 × Nτ (β = 7.0, ξ = 3.5) lattices with Nτ = 24, …, 96, which cover 839MeV ≥ T ≥ 210MeV. To investigate the potential in a quark-gluon plasma with light u,d and s quarks we utilize Nf = 2 + 1 ASQTAD lattices with ml = ms/20 by the HotQCD collaboration, giving access to temperatures between 286MeV ≥ T ≥ 148MeV. The real part of the potential exhibits a clean transition from a linear, confining behavior in the hadronic phase to a Debye screened form above deconfinement. Interestingly its values lie close to the color singlet free energies in Coulomb gauge at all temperatures. We estimate the imaginary part on quenched lattices and find that it is of the same order of magnitude as in hard-thermal loop perturbation theory. From among all the systematic checks carried out in our study, we discuss explicitly the dependence of the result on the default model and the number of datapoints.
Ab Initio Study of Electronic Excitation Effects on SrTiO 3
DOE Office of Scientific and Technical Information (OSTI.GOV)
Zhao, Shijun; Zhang, Yanwen; Weber, William J.
Interaction of energetic ions or lasers with solids often induces electronic excitations that may modify material properties significantly. In this study, effects of electronic excitations on strontium titanate SrTiO 3 (STO) are investigated based on first-principles calculations. The lattice structure, electronic properties, lattice vibrational frequencies, and dynamical stabilities are studied in detail. The results suggest that electronic excitation induces charge redistribution that is mainly observed in Ti–O bonds. The electronic band gap increases with increasing electronic excitation, as excitation mainly induces depopulation of Ti 3d states. Phonon analysis indicates that there is a large phonon band gap induced by electronicmore » excitation because of the changes in the vibrational properties of Ti and O atoms. In addition, a new peak appears in the phonon density of states with imaginary frequencies, an indication of lattice instability. Further dynamics simulations confirm that STO undergoes transition to an amorphous structure under strong electronic excitations. In conclusion, the optical properties of STO under electronic excitation are consistent with the evolution of atomic and electronic structures, which suggests a possibility to probe the properties of STO in nonequilibrium state using optical measurement.« less
Ab Initio Study of Electronic Excitation Effects on SrTiO 3
Zhao, Shijun; Zhang, Yanwen; Weber, William J.
2017-11-14
Interaction of energetic ions or lasers with solids often induces electronic excitations that may modify material properties significantly. In this study, effects of electronic excitations on strontium titanate SrTiO 3 (STO) are investigated based on first-principles calculations. The lattice structure, electronic properties, lattice vibrational frequencies, and dynamical stabilities are studied in detail. The results suggest that electronic excitation induces charge redistribution that is mainly observed in Ti–O bonds. The electronic band gap increases with increasing electronic excitation, as excitation mainly induces depopulation of Ti 3d states. Phonon analysis indicates that there is a large phonon band gap induced by electronicmore » excitation because of the changes in the vibrational properties of Ti and O atoms. In addition, a new peak appears in the phonon density of states with imaginary frequencies, an indication of lattice instability. Further dynamics simulations confirm that STO undergoes transition to an amorphous structure under strong electronic excitations. In conclusion, the optical properties of STO under electronic excitation are consistent with the evolution of atomic and electronic structures, which suggests a possibility to probe the properties of STO in nonequilibrium state using optical measurement.« less
The behaviour of resonances in Hecke triangular billiards under deformation
NASA Astrophysics Data System (ADS)
Howard, P. J.; O'Mahony, P. F.
2007-08-01
The right-hand boundary of Artin's billiard on the Poincaré half-plane is continuously deformed to generate a class of chaotic billiards which includes fundamental domains of the Hecke groups Γ(2, n) at certain values of the deformation parameter. The quantum scattering problem in these open chaotic billiards is described and the distributions of both real and imaginary parts of the resonant eigenvalues are investigated. The transitions to arithmetic chaos in the cases n ∈ {4, 6} are closely examined and the explicit analytic form for the scattering matrix is given together with the Fourier coefficients for the scattered wavefunction. The n = 4 and 6 cases have an additional set of regular equally spaced resonances compared to Artin's billiard (n = 3). For a general deformation, a numerical procedure is presented which generates the resonance eigenvalues and the evolution of the eigenvalues is followed as the boundary is varied continuously which leads to dramatic changes in their distribution. For deformations away from the non-generic arithmetic cases, including that of the tiling Hecke triangular billiard n = 5, the distributions of the positions and widths of the resonances are consistent with the predictions of a random matrix theory.
An Impending Crisis: The Disappearance of Exceptionalities
ERIC Educational Resources Information Center
Coleman, Laurence J.
1977-01-01
A humorous satire on the proliferation of categories of exceptionalities, the article parodies current research by discussing the problem of disappearing exceptionalities in relation to imaginary interviews, research programs, and teacher reactions. (GW)
ERIC Educational Resources Information Center
May, Lola J.
1994-01-01
Daily newspapers can be used to teach mathematics skills in a variety of ways. Students can analyze sports scores and averages, practice using the index, assemble imaginary stock portfolios, find numbers in articles, and complete puzzles. (MDM)
Temperature and frequency dependence of anelasticity in a nickel oscillator
NASA Astrophysics Data System (ADS)
Berg, Robert F.
1995-09-01
The frequency dependence of the real and imaginary parts of a nickel oscillator's transfer function is described over 3 decades in frequency by the use of simple expressions. These expressions incorporate only the resonance frequency ω0, the quality factor Q, and a characteristic exponent β determined by a single measurement of creep. They are based on the ansatz φ(ω)=Q-1(ω/ω0)-β, where φ is the imaginary part of the spring constant. Over a 100 K range of temperature T, the exponent β≂0.18 was constant even though Q(T) changed by a factor of 8. These expressions are potentially useful for accurately describing a mechanical oscillator whose transfer function must be modeled at frequencies far below ω0. Examples include accelerometers based on a flexure element and suspensions for interferometric gravitational wave detectors.
NASA Astrophysics Data System (ADS)
Mori, Takashi
2015-02-01
The Floquet eigenvalue problem is analyzed for periodically driven Friedrichs models on discrete and continuous space. In the high-frequency regime, there exists a Floquet bound state consistent with the Floquet-Magnus expansion in the discrete Friedrichs model, while it is not the case in the continuous model. In the latter case, however, the bound state predicted by the Floquet-Magnus expansion appears as a metastable state whose lifetime diverges in the limit of large frequencies. We obtain the lifetime by evaluating the imaginary part of the quasienergy of the Floquet resonant state. In the low-frequency regime, there is no Floquet bound state and instead the Floquet resonant state with exponentially small imaginary part of the quasienergy appears, which is understood as the quantum tunneling in the energy space.
NASA Astrophysics Data System (ADS)
Zhukovsky, K. V.
2017-09-01
The exponential form of the Pontecorvo-Maki-Nakagawa-Sakata mixing matrix for neutrinos is considered in the context of the fundamental representation of the SU(3) group. The logarithm of the mixing matrix is obtained. Based on the most recent experimental data on neutrino mixing, the exact values of the entries of the exponential matrix are calculated. The exact values for its real and imaginary parts are determined, respectively, in charge of the mixing without CP violation and of the pure CP violation effect. The hypothesis of complementarity for quarks and neutrinos is confirmed. The factorization of the exponential mixing matrix, which allows the separation of the mixing and of the CP violation itself in the form of the product of rotations around the real and imaginary axes, is demonstrated.
[Projective identification, mimesis and the analytical situation. Preliminary observations].
Ruberto, A; Lucchi, N; Senesi, P; Gaston, A
1990-01-01
In an attempt to underline the need to refer to an imaginary setting, in which the analytical relationship is acted out, the Authors have considered the possible relations between the concept of projective identification, as defined by Klein and further developed by Bion, and the idea of "Mimesis", which is inevitably involved in every story, and which confronts the imaginary at the very moment in which it is produced. The "fusion" between subject and object, which may occur in a more or less partial manner, is defined as a phenomenal demonstration of the participation of the two poles of the relationship in a "super-individual" experience which embraces them both. The mythical image of the hunter. Anyone is, in our opinion, a paradigmatic clement in this from of "meeting" which takes place within an impersonal and illusionary dimension.
NASA Astrophysics Data System (ADS)
Bornyakov, V. G.; Boyda, D. L.; Goy, V. A.; Molochkov, A. V.; Nakamura, Atsushi; Nikolaev, A. A.; Zakharov, V. I.
2017-05-01
We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential i μq I . Then we restore the grand canonical partition function for imaginary chemical potential using the fitting procedure for the quark number density. Finally we compute the canonical partition functions using high precision numerical Fourier transformation. Additionally we compute the canonical partition functions using the known method of the hopping parameter expansion and compare results obtained by two methods in the deconfining as well as in the confining phases. The agreement between two methods indicates the validity of the new method. Our numerical results are obtained in two flavor lattice QCD with clover improved Wilson fermions.
Surface‐wave Green’s tensors in the near field
Haney, Matt; Nakahara, Hisashi
2014-01-01
We demonstrate the connection between theoretical expressions for the correlation of ambient noise Rayleigh and Love waves and the exact surface‐wave Green’s tensors for a point force. The surface‐wave Green’s tensors are well known in the far‐field limit. On the other hand, the imaginary part of the exact Green’s tensors, including near‐field effects, arises in correlation techniques such as the spatial autocorrelation (SPAC) method. Using the imaginary part of the exact Green’s tensors from the SPAC method, we find the associated real part using the Kramers–Kronig relations. The application of the Kramers–Kronig relations is not straightforward, however, because the causality properties of the different tensor components vary. In addition to the Green’s tensors for a point force, we also derive expressions for a general point moment tensor source.
Sayfan, Liat; Lagattuta, Kristin Hansen
2008-01-01
Three-, 5-, and 7-year-olds and adults (N= 64) listened to stories depicting 2 protagonists of different ages (infant and child or child and grown-up) that encounter an entity that looks like a real (e.g., a snake) or an imaginary (e.g., a ghost) fear-inducing creature. Participants predicted and explained each protagonist's intensity of fear. Results showed significant age-related increases in knowledge that infants and adults would experience less intense fears than young children and that people's fears are causally linked to their cognitive mental states. Across age, stories involving imaginary beings elicited more frequent mental explanations for fear than stories about real creatures. Results are discussed in relation to children's developing awareness of the mind as mediating between situations and emotions.
Wired to freedom: Life science, public politics, and the case of Cochlear Implantation.
Jepsen, Kim Sune; Bertilsson, T Margareta
2017-02-01
Cochlear Implantation is now regarded as the most successful medical technology. It carries promises to provide deaf/hearing impaired individuals with a technological sense of hearing and an access to participate on a more equal level in social life. In this article, we explore the adoption of cochlear implantations among Danish users in order to shed more light on their social and political implications. We situate cochlear implantation in a framework of new life science advances, politics, and user experiences. Analytically, we draw upon the notion of social imaginary and explore the social dimension of life science through a notion of public politics adopted from the political theory of John Dewey. We show how cochlear implantation engages different social imaginaries on the collective and individual levels and we suggest that users share an imaginary of being "wired to freedom" that involves new access to social life, continuous communicative challenges, common practices, and experiences. In looking at their lives as "wired to freedom," we hope to promote a wider spectrum of civic participation in the benefit of future life science developments within and beyond the field of Cochlear Implantation. As our empirical observations are largely based in the Scandinavian countries (notably Denmark), we also provide some reflections on the character of the technology-friendly Scandinavian welfare states and the unintended consequences that may follow in the wake of rapid technology implementation of life science in society.
Remote sensing of soot carbon - Part 2: Understanding the absorption Ångström exponent
NASA Astrophysics Data System (ADS)
Schuster, G. L.; Dubovik, O.; Arola, A.; Eck, T. F.; Holben, B. N.
2016-02-01
Recently, some authors have suggested that the absorption Ångström exponent (AAE) can be used to deduce the component aerosol absorption optical depths (AAODs) of carbonaceous aerosols in the AERONET database. This AAE approach presumes that AAE ≪ 1 for soot carbon, which contrasts the traditional small particle limit of AAE = 1 for soot carbon. Thus, we provide an overview of the AERONET retrieval, and we investigate how the microphysics of carbonaceous aerosols can be interpreted in the AERONET AAE product. We find that AAE ≪ 1 in the AERONET database requires large coarse mode fractions and/or imaginary refractive indices that increase with wavelength. Neither of these characteristics are consistent with the current definition of soot carbon, so we explore other possibilities for the cause of AAE ≪ 1. AAE is related to particle size, and coarse mode particles have a smaller AAE than fine mode particles for a given aerosol mixture of species. We also note that the mineral goethite has an imaginary refractive index that increases with wavelength, is very common in dust regions, and can easily contribute to AAE ≪ 1. We find that AAE ≪ 1 can not be caused by soot carbon, unless soot carbon has an imaginary refractive index that increases with wavelength throughout the visible and near-infrared spectrums. Finally, AAE is not a robust parameter for separating carbonaceous absorption from dust aerosol absorption in the AERONET database.
NASA Astrophysics Data System (ADS)
Rocha Lima, A.; Martins, J.; Krotkov, N. A.; Artaxo, P.; Todd, M.; Ben Ami, Y.; Dolgos, G.; Espinosa, R.
2013-12-01
Aerosol properties are essential to support remote sensing measurements, atmospheric circulation and climate models. This research aims to improve the understanding of the optical and microphysical properties of different types of aerosols particles. Samples of volcanic ash, Saharan dust and other mineral aerosols particles were analyzed by different techniques. Ground samples were sieved down to 45um, de-agglomerated and resuspended in the laboratory using a Fluidized Bed Aerosol Generator (FBAG). Particles were collected on Nuclepore filters into PM10, PM2.5, or PM1.0. and analyzed by different techniques, such as Scanning Electron Microscopy (SEM) for determination of size distribution and shape, spectral reflectance for determination of the optical absorption properties as a function of the wavelength, material density, and X-Ray fluorescence for the elemental composition. The spectral imaginary part of refractive index from the UV to the short wave infrared (SWIR) wavelength was derived empirically from the measurements of the spectral mass absorption coefficient, size distribution and density of the material. Some selected samples were also analyzed with the Polarized Imaging Nephelometer (PI-Neph) instrument for the characterization of the aerosol polarized phase function. This work compares results of the spectral refractive index of different materials obtained by our methodology with those available in the literature. In some cases there are significant differences both in magnitude and spectral dependence of the imaginary refractive index. These differences are evaluated and discussed in this work.
Improving the past and the future: a temporal asymmetry in hypothetical thinking.
Ferrante, Donatella; Girotto, Vittorio; Stragà, Marta; Walsh, Clare
2013-02-01
Current views of hypothetical thinking implicitly assume that the content of imaginary thoughts about the past and future should be the same. Two experiments show that, given the same experienced facts of reality, future imagination may differ from past reconstruction. When participants failed a task, their counterfactual thoughts focused on uncontrollable features of their attempt (e.g., "Things would have been better if the allocated time were longer/if I had better logic skills"). But their prefactual thoughts focused on controllable features of their ensuing endeavor (e.g., "Things will be better next time if I concentrate more/if I use another strategy"). This finding suggests that compared with prefactual thinking, counterfactual thinking may be less subject to reality checks and less likely to serve preparatory goals. 2013 APA, all rights reserved
FINITE ELEMENT MODEL FOR TIDES AND CURRENTS WITH FIELD APPLICATIONS.
Walters, Roy A.
1988-01-01
A finite element model, based upon the shallow water equations, is used to calculate tidal amplitudes and currents for two field-scale test problems. Because tides are characterized by line spectra, the governing equations are subjected to harmonic decomposition. Thus the solution variables are the real and imaginary parts of the amplitude of sea level and velocity rather than a time series of these variables. The time series is recovered through synthesis. This scheme, coupled with a modified form of the governing equations, leads to high computational efficiency and freedom from excessive numerical noise. Two test-cases are presented. The first is a solution for eleven tidal constituents in the English Channel and southern North Sea, and three constituents are discussed. The second is an analysis of the frequency response and tidal harmonics for south San Francisco Bay.
Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
Tripathi, Vikram; Galda, Alexey; Barman, Himadri; ...
2016-07-05
Here, we describe the critical behavior of the electric field-driven (dynamic) Mott insulator-to-metal transitions in dissipative Fermi and Bose systems in terms of non-Hermitian Hamiltonians invariant under simultaneous parity (P) and time-reversal (T) operations. The dynamic Mott transition is identified as a PT symmetry-breaking phase transition, with the Mott insulating state corresponding to the regime of unbroken PT symmetry with a real energy spectrum. We also established that the imaginary part of the Hamiltonian arises from the combined effects of the driving field and inherent dissipation. We derive the renormalization and collapse of the Mott gap at the dielectric breakdownmore » and describe the resulting critical behavior of transport characteristics. The critical exponent we obtained is in an excellent agreement with experimental findings.« less
Gondwana Tales: an inquiry approach to plate tectonics
NASA Astrophysics Data System (ADS)
Domènech Casal, Jordi
2014-05-01
Plate tectonics and its effects on the constitution of seas and continents are key models in science education. Fossil evidences are usually taught in demostrative key when Wegener's discoverings about Pangea are introduced. In order to introduce inquiry-based science education (IBSE) approaches to this topic, we propose "Gondwana Tales", an activity where students are asked to use fossil data to reconstruct the geologic history of an imaginary planet. Grouped in independent teams, each team is furnished with stratigraphic columns from several sites containing faunistic successions of real organisms existing in the past in Earth. Students are told to reconstruct a model of the evolution of the continents, by making calculations of relative ages of the fossils, and relating each fossil to a geologic era. The different teams have incomplete and complementary information. After a first step where they have to propose a partial model based on incomplete data, each team receives a "visitor scientist" from another team, this implying an informal scientific communication event. This process is performed several times, engaging a discussion in each team and getting a final consensus model created by the whole class. Correct answer is not given to the students, even at the end of the activity, to keep the activity under the parameters of real scientific experience, where there is not a "correct answer" to compare. Instead of this, and following the IBSE standards, a reflection on the process is proposed to students. The lack of complete information and the need to collaborate are part of classroom dynamics focused to the understanding of the process of creation of the scientific knowledge. This activity is part of the C3 Project on Creation of Scientific Knowledge that is being applied in the school.
Was Dick Tracy Right? Do Magnetic Fields Rule the Cosmos?
NASA Astrophysics Data System (ADS)
Bartlett, David F.
2007-12-01
Astronomers generally subordinate magnetic forces to gravitational ones at all but the smallest scales. The 'Dual Proposal', however, introduces a new scale, λo=400 pc [1]. Here the photon has a real mass and the graviton an imaginary one, both of mc2=hc/λo = 10 - 25 eV. The resulting sinusoidal gravitational potential (φ = - (GM/r) Cos[kor], ko=2 π/λo) does not compromise solar system dynamics, explains the large tidal forces observed in the Milky Way, and predicts that the Galaxy has a central, physical stationary bar. The sinusoidal potential is powerless to bind large amorphous objects such as clusters of galaxies (or the Universe itself). Here one needs the massive photon (φ = (Q/r) Exp[- kor]). Chibisov (1976) has shown that at large scales (s>>λo), a massive photon will generally provide an attractive force rather than the usual repulsive one of the massless photon. At recent meetings of the AAS I have shown how the new cosmic magnetic fields can bind the Coma cluster or strip the gas (and plasma) from the stars in the Bullet Collision (Clowe et al 2006). In this poster, I demonstrate how magnetic fields can replace gravitational ones in cosmology. Two elements are critical. The Dark Ages are needed to explain the evolution of the scale factor a(t) from the time of nucleosynthesis to the present. Gravitational energy densities (ΔW/ΔV= (1/2) ρφ ) and magnetic energy densities (ΔW/ΔV= (1/2) J.A ) are now absolute and thus meaningful. Ref [1]: "Analogies between electricity and gravity", Metrologia 41 (2004) S115-S124.
Polarizability calculations on water, hydrogen, oxygen, and carbon dioxide
NASA Technical Reports Server (NTRS)
Nir, S.; Adams, S.; Rein, R.
1973-01-01
A semiclassical model of damped oscillators is used as a basis for the calculation of the dispersion of the refractive index, polarizability, and dielectric permeability in water, hydrogen, and oxygen in liquid and gaseous states, and in gaseous carbon dioxide. The absorption coefficient and the imaginary part of the refractive index are also calculated at corresponding wavelengths. A good agreement is obtained between the observed and calculated values of refractive indices, and between those of absorption coefficients in the region of absorption bands. The calculated values of oscillator strengths and damping factors are also discussed. The value of the polarizability of liquid water was about 2.8 times that of previous calculations.
Spontaneous breaking of discrete symmetries in QCD on a small volume
DOE Office of Scientific and Technical Information (OSTI.GOV)
Lucini, B.; Patella, A.; Pica, C.
2007-11-20
In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (J) are spontaneously broken in QCD. The order parameter for the symmetry breaking is the trace of the Wilson line wrapping around the compact dimension, which acquires an imaginary part in the broken phase. We show that a physical signature for the symmetry breaking is a persistent baryonic current wrapping in the compact directions. The existence of such a current is derived analytically at first order in perturbation theory and confirmed in the non-perturbative regime bymore » lattice simulations.« less
Virtual detector theory for strong-field atomic ionization
NASA Astrophysics Data System (ADS)
Wang, Xu; Tian, Justin; Eberly, J. H.
2018-04-01
A virtual detector (VD) is an imaginary device located at a fixed position in space that extracts information from the wave packet passing through it. By recording the particle momentum and the corresponding probability current at each time, the VDs can accumulate and build the differential momentum distribution of the particle, in a way that resembles real experiments. A mathematical proof is given for the equivalence of the differential momentum distribution obtained by the VD method and by Fourier transforming the wave function. In addition to being a tool for reducing the computational load, VDs have also been found useful in interpreting the ultrafast strong-field ionization process, especially the controversial quantum tunneling process.
Sounds of silence: How to animate virtual worlds with sound
NASA Technical Reports Server (NTRS)
Astheimer, Peter
1993-01-01
Sounds are an integral and sometimes annoying part of our daily life. Virtual worlds which imitate natural environments gain a lot of authenticity from fast, high quality visualization combined with sound effects. Sounds help to increase the degree of immersion for human dwellers in imaginary worlds significantly. The virtual reality toolkit of IGD (Institute for Computer Graphics) features a broad range of standard visual and advanced real-time audio components which interpret an object-oriented definition of the scene. The virtual reality system 'Virtual Design' realized with the toolkit enables the designer of virtual worlds to create a true audiovisual environment. Several examples on video demonstrate the usage of the audio features in Virtual Design.
Electrical aging markers for EPR-based low-voltage cable insulation wiring of nuclear power plants
NASA Astrophysics Data System (ADS)
Verardi, L.; Fabiani, D.; Montanari, G. C.
2014-01-01
This paper presents results of electrical property measurements on EPR-based insulations of low-voltage power cables used in nuclear power plants. The specimens underwent accelerated aging through the simultaneous application of high temperature and gamma-radiation. Mechanical properties and the dielectric response at different frequencies were investigated. Results showed significant variation of the electrical and mechanical properties of aged cables at low frequencies, i.e. lower than 10-2 Hz. In particular, the real and imaginary parts of permittivity increase with aging time, accumulated dose and stress levels applied showing good correlation with elongation at break, which decreases as a function of extent of insulation aging.
Measurement of the transverse polarization of electrons emitted in free-neutron decay.
Kozela, A; Ban, G; Białek, A; Bodek, K; Gorel, P; Kirch, K; Kistryn, St; Kuźniak, M; Naviliat-Cuncic, O; Pulut, J; Severijns, N; Stephan, E; Zejma, J
2009-05-01
Both components of the transverse polarization of electrons (sigmaT1, sigmaT2) emitted in the beta-decay of polarized, free neutrons have been measured. The T-odd, P-odd correlation coefficient quantifying sigmaT2, perpendicular to the neutron polarization and electron momentum, was found to be R=0.008+/-0.015+/-0.005. This value is consistent with time reversal invariance and significantly improves limits on the relative strength of imaginary scalar couplings in the weak interaction. The value obtained for the correlation coefficient associated with sigmaT1, N=0.056+/-0.011+/-0.005, agrees with the Standard Model expectation, providing an important sensitivity test of the experimental setup.
The Epistemology of Innovator Motivation.
ERIC Educational Resources Information Center
Wolf, W. C., Jr.
1979-01-01
This satire reports an imaginary research study which found three motivations for educational innovation: money, happiness, and garlic. The article facetiously traces the careers of three innovators: the director of an institute, a government official, and a popular writer. (SJL)
The CenterSpot: Safari Schoolroom.
ERIC Educational Resources Information Center
Wirtz, Ruth E.
1980-01-01
Described are activities to be used in five learning centers which build on children's interests in wild animals. Developed is an imaginary safari park with artwork depicting wild animals and tropical vegetation. Objectives, materials, and directions are included. (KC)
Teaching Ideas: Congressional Reapportionment/Redistricting.
ERIC Educational Resources Information Center
Palmer, Jesse
1987-01-01
Offers a lesson which is designed to help twelfth grade American Government students understand the process and dilemmas of congressional reapportionment or redistricting. Includes objectives, teaching procedures and a map of an imaginary state showing districts and their populations. (JDH)
Creative Visualization Activities.
ERIC Educational Resources Information Center
Fugitt, Eva D.
1986-01-01
Presents a series of classroom exercises and activities that stimulate children's creativity through the use of visualization. Discusses procedures for guided imagery and offers some examples of "trips" to imaginary places. Proposes visualization as a warm-up exercise before art lessons. (DR)
A Scientific Excursion: Volcanoes.
ERIC Educational Resources Information Center
Olds, Henry, Jr.
1983-01-01
Reviews an educationally valuable and reasonably well-designed simulation of volcanic activity in an imaginary land. VOLCANOES creates an excellent context for learning information about volcanoes and for developing skills and practicing methods needed to study behavior of volcanoes. (Author/JN)
NASA Astrophysics Data System (ADS)
Rapoport, Diego L.
2011-01-01
In this transdisciplinary article which stems from philosophical considerations (that depart from phenomenology—after Merleau-Ponty, Heidegger and Rosen—and Hegelian dialectics), we develop a conception based on topological (the Moebius surface and the Klein bottle) and geometrical considerations (based on torsion and non-orientability of manifolds), and multivalued logics which we develop into a unified world conception that surmounts the Cartesian cut and Aristotelian logic. The role of torsion appears in a self-referential construction of space and time, which will be further related to the commutator of the True and False operators of matrix logic, still with a quantum superposed state related to a Moebius surface, and as the physical field at the basis of Spencer-Brown's primitive distinction in the protologic of the calculus of distinction. In this setting, paradox, self-reference, depth, time and space, higher-order non-dual logic, perception, spin and a time operator, the Klein bottle, hypernumbers due to Musès which include non-trivial square roots of ±1 and in particular non-trivial nilpotents, quantum field operators, the transformation of cognition to spin for two-state quantum systems, are found to be keenly interwoven in a world conception compatible with the philosophical approach taken for basis of this article. The Klein bottle is found not only to be the topological in-formation for self-reference and paradox whose logical counterpart in the calculus of indications are the paradoxical imaginary time waves, but also a classical-quantum transformer (Hadamard's gate in quantum computation) which is indispensable to be able to obtain a complete multivalued logical system, and still to generate the matrix extension of classical connective Boolean logic. We further find that the multivalued logic that stems from considering the paradoxical equation in the calculus of distinctions, and in particular, the imaginary solutions to this equation, generates the matrix logic which supersedes the classical logic of connectives and which has for particular subtheories fuzzy and quantum logics. Thus, from a primitive distinction in the vacuum plane and the axioms of the calculus of distinction, we can derive by incorporating paradox, the world conception succinctly described above.
Prediction of lamb carcass composition by impedance spectroscopy.
Altmann, M; Pliquett, U; Suess, R; von Borell, E
2004-03-01
The objective of this study was to compare impedance spectroscopy with resistance measurements at a single frequency (50 kHz) for the prediction of lamb carcass composition. The impedance spectrum is usually recorded by measuring the complex impedance at various frequencies (frequency domain); however, in this study, we also applied the faster and simpler measurement in the time domain (application of a current step and measurement of the voltage response). The study was carried out on 24 male, German Black-headed Mutton lambs with an average BW of 45 kg. Frequency- and time domain-based impedance measurements were collected at 20 min and 24 h postmortem with different electrode placements. Real and imaginary parts at various frequencies were calculated from the locus diagram. Left sides were dissected into lean, fat, and bone, and right sides were ground to determine actual carcass composition. Crude fat, crude protein, and moisture were chemically analyzed on ground samples. Frequency- and time domain-based measurements did not provide the same absolute impedance values; however, the high correlations (P < 0.001) between these methods for the "real parts" showed that they ranked individuals in the same order. Most of the time domain data correlated higher to carcass composition than did the frequency domain data. The real parts of impedance showed correlations between -0.37 (P > 0.05) and -0.74 (P < 0.001) to water, crude fat, lean, and fatty tissue, whereas the relations to CP were much lower (from 0.00 to -0.47, P < 0.05). Electrode placements at different locations did not substantially improve the correlations with carcass composition. The "imaginary parts" of impedance were not suitable for the prediction of carcass composition. The highest accuracy (R2 = 0.66) was reached for the estimation of crude fat percentage by a regression equation with the time domain-based impedance measured at 24 h postmortem. Furthermore, there was not a clear superiority of measurements in a wide frequency range over a single frequency measurement at 50 kHz for the prediction of carcass composition. Even though we calculated the impedance at 50 kHz based on the locus diagram, which allowed for a high precision for predicting this impedance trait, single-frequency impedance devices typically used in practice cannot record the locus diagram and, therefore, exhibit a greater amount of uncertainty.
Cancer and the Comics: Graphic Narratives and Biolegitimate Lives.
McMullin, Juliet
2016-06-01
Cancer graphic narratives, I argue, are part of a medical imaginary that includes representations of difference and biomedical technology that engage Fassin's (2009) concept of biolegitimacy. Framed in three parts, the argument first draws on discourses about cancer graphic narratives from graphic medicine scholars and authors to demonstrate a construction of universal suffering. Second, I examine tropes of hope and difference as a biotechnical embrace. Finally, I consider biosociality within the context of this imaginary and the construction of a meaningful life. Autobiographical graphic narrative as a creative genre that seeks to give voice to individual illness experiences in the context of biomedicine raises anthropological questions about the interplay between the ordinary and biolegitmate. Cancer graphic narratives deconstruct the big events to demonstrate the ordinary ways that a life constructed as different becomes valued through access to medical technologies. © 2014 by the American Anthropological Association.
Experimental results on the ω- and η'-nucleus potential - on the way to mesic states
NASA Astrophysics Data System (ADS)
Nanova, Mariana
2015-06-01
Different experimental approaches to determine the meson-nucleus optical potential are discussed. The experiments have been performed with the Crystal Barrel/TAPS detector system at the ELSA accelerator in Bonn and the Crystal Ball/TAPS at the MAMI accelerator in Mainz. Experimental results about the real and imaginary part of the η'- and ω-nucleus optical potential are presented. The imaginary part of the meson-nucleus optical potential is determined from the in-medium width of the meson by the measurement of the transparency ratio. Information on the real part of the optical potential is deduced from measurements of the excitation function and momentum distribution which are sensitive to the sign and depth of the potential. The results are discussed and compared to theoretical predictions. The data for both mesons are consistent with a weakly attractive potential. The formation and population of ω-nucleus and η'-nucleus bound states is additionally discussed.
Visible and infrared optical properties of stacked cone graphite microtubes.
Bruce, Charles W; Alyones, Sharhabeel
2012-06-01
The absorptive and scattering optical properties of heat-treated, vapor-grown, graphite microtubes consisting of nanotubes in a "stacked cone" configuration were investigated through the visible and infrared wavelengths using photoacoustic and other spectrometric techniques. However, computations of these properties involved uncertainties that were not easily resolved; the appropriate dielectric coefficients were presumed to be a combination of the published values for the distinct orientations of graphite, but the correct proportions are not evident and none of the reasonable choices produced satisfactory agreement (within the measurement limits of error). Since both of the primary components of the extinction were measured, the appropriate computational codes were employed in reverse to compute the dielectric coefficients for the graphite microtubes. Differences, primarily for the imaginary index, are most distinct for visible and near infrared wavelengths; in this wavelength region, the imaginary index falls progressively to less than half that for the computed mixture.
Blaming Machismo: How the Social Imaginary is Failing Men with HIV in Santa Cruz, Bolivia.
Heckert, Carina
2017-01-01
Drawing from an ethnography of HIV care in Santa Cruz, Bolivia, in this article I explore how the social imaginary surrounding gender relations shapes men's experiences of seeking care for and living with HIV. Popular understandings of gender relations, which draw heavily on the machismo concept, intersect with a global health master narrative that frames women as victims in the AIDS epidemic in a way that generates a strong sentiment of blaming machismo within local HIV/AIDS-related services. Statements such as, "it's because of machismo" are used to explain away epidemiological trends. Participant observation in the context of HIV care, coupled with illness narrative interviews, illuminate how blaming machismo shapes men's experiences of care and the ways that they feel excluded from various forms of support. Thus, the illness experiences of men with HIV problematize the machismo concept and how it is drawn upon in the context of care.
An approach to determination of shunt circuits parameters for damping vibrations
NASA Astrophysics Data System (ADS)
Matveenko; Iurlova; Oshmarin; Sevodina; Iurlov
2018-04-01
This paper considers the problem of natural vibrations of a deformable structure containing elements made of piezomaterials. The piezoelectric elements are connected through electrodes to an external electric circuit, which consists of resistive, inductive and capacitive elements. Based on the solution of this problem, the parameters of external electric circuits are searched for to allow optimal passive control of the structural vibrations. The solution to the problem is complex natural vibration frequencies, the real part of which corresponds to the circular eigenfrequency of vibrations and the imaginary part corresponds to its damping rate (damping ratio). The analysis of behaviour of the imaginary parts of complex eigenfrequencies in the space of external circuit parameters allows one to damp given modes of structure vibrations. The effectiveness of the proposed approach is demonstrated using a cantilever-clamped plate and a shell structure in the form of a semi-cylinder connected to series resonant ? circuits.
Phase reconstruction using compressive two-step parallel phase-shifting digital holography
NASA Astrophysics Data System (ADS)
Ramachandran, Prakash; Alex, Zachariah C.; Nelleri, Anith
2018-04-01
The linear relationship between the sample complex object wave and its approximated complex Fresnel field obtained using single shot parallel phase-shifting digital holograms (PPSDH) is used in compressive sensing framework and an accurate phase reconstruction is demonstrated. It is shown that the accuracy of phase reconstruction of this method is better than that of compressive sensing adapted single exposure inline holography (SEOL) method. It is derived that the measurement model of PPSDH method retains both the real and imaginary parts of the Fresnel field but with an approximation noise and the measurement model of SEOL retains only the real part exactly equal to the real part of the complex Fresnel field and its imaginary part is completely not available. Numerical simulation is performed for CS adapted PPSDH and CS adapted SEOL and it is demonstrated that the phase reconstruction is accurate for CS adapted PPSDH and can be used for single shot digital holographic reconstruction.
Effects of interior colors on mood and preference: comparisons of two living rooms.
Yildirim, Kemal; Hidayetoglu, M Lutfi; Capanoglu, Aysen
2011-04-01
The purpose was to assess whether various colors across room interiors do, in fact, evoke different moods. Digital images of two imaginary living rooms were used as the experimental settings. For each of the experiments, the rooms' spatial characteristics were fixed, with only the colors changed: either warm, cool, or achromatic colors. As predicted, warm colors tended to produce stronger participant responses when rating the scene on "high arousal," "exciting," and "stimulating." Cool colors tended be associated with "not very arousing," but to be rated higher on "spacious" and "restful." It is generally assumed that cool and achromatic colors evoke calmer and more peaceful emotions. The study's results show that the spatial characteristics of the imaginary spaces themselves affected participants' responses only on measures of "happiness" and "vividness." Lastly, sex differences were also found, with women's ratings generally more positive than those of men.
NASA Astrophysics Data System (ADS)
Arshad Javid, M.; Khan, Zafar Ullah; Mehmood, Zahid; Nabi, Azeem; Hussain, Fayyaz; Imran, M.; Nadeem, Muhammad; Anjum, Naeem
2018-06-01
In the present work, first-principles calculations were performed to obtain the structural, electronic and optical properties of lithium niobate crystal using two exchange-correlation functionals (GGA-PBE and TB-mBJ). The calculated structural parameters were very close to the experimental values. TB-mBJ functional was found to be good when compared to LDA and GGA functionals in case of bandgap energy of 3.715 eV of lithium niobate. It was observed that the upper valence and lower conduction bands consist mainly the O-2p and Nb-4d states, respectively. Furthermore, calculations for real and imaginary parts of frequency-dependent dielectric function 𝜀(ω) of lithium niobate crystal were performed using TD-DFT method. The ordinary refractive index no(ω), extraordinary refractive index ne(ω), its birefringence and absorption peaks in imaginary dielectric function 𝜀2(ω) were also calculated.
Three-body unitarity in the finite volume
DOE Office of Scientific and Technical Information (OSTI.GOV)
Mai, M.; Döring, M.
We present the physical interpretation of lattice QCD simulations, performed in a small volume, requires an extrapolation to the infinite volume. A method is proposed to perform such an extrapolation for three interacting particles at energies above threshold. For this, a recently formulated relativisticmore » $$3\\to 3$$ amplitude based on the isobar formulation is adapted to the finite volume. The guiding principle is two- and three-body unitarity that imposes the imaginary parts of the amplitude in the infinite volume. In turn, these imaginary parts dictate the leading power-law finite-volume effects. It is demonstrated that finite-volume poles arising from the singular interaction, from the external two-body sub-amplitudes, and from the disconnected topology cancel exactly leaving only the genuine three-body eigenvalues. Lastly, the corresponding quantization condition is derived for the case of three identical scalar-isoscalar particles and its numerical implementation is demonstrated.« less
NASA Astrophysics Data System (ADS)
Li, Z. W.; Guoqing, Lin; Chen, Linfeng; Yuping, Wu; Ong, C. K.
2006-03-01
Co2+Ti4+ substitution for Fe3+ in Co2Z (Ba3Co2Fe24O41) has been prepared. The crystal structure and static and high-frequency magnetic properties have been studied for Ba3Co2+xTixFe24-2xO41 and the corresponding ferrite/polymer composites. As compared to the general Co2Z ferrite/polymer composite, the CoTi substituted ferrite/polymer composite with x=1.0 has a high natural resonance frequency (4.5 GHz), due to its large out-of-plane anisotropy fields Hθ. Furthermore, the maximum imaginary permeability μmax'' is increased by about 50%. The increase is attributed to a decreased damping coefficient, based on the curve-fitted results to the complex permeability spectra. The composites are good electromagnetic attenuation materials with low reflectivity and broad bandwidth at microwave frequencies.
Finite-temperature lattice dynamics and superionic transition in ceria from first principles
NASA Astrophysics Data System (ADS)
Klarbring, Johan; Skorodumova, Natalia V.; Simak, Sergei I.
2018-03-01
Ab initio molecular dynamics (AIMD) in combination with the temperature dependent effective potential (TDEP) method has been used to go beyond the quasiharmonic approximation and study the lattice dynamics in ceria, CeO2, at finite temperature. The results indicate that the previously proposed connection between the B1 u phonon mode turning imaginary and the transition to the superionic phase in fluorite structured materials is an artifact of the failure of the quasiharmonic approximation in describing the lattice dynamics at elevated temperatures. We instead show that, in the TDEP picture, a phonon mode coupling to the Eu mode prevents the B1 u mode from becoming imaginary. We directly observe the superionic transition at high temperatures in our AIMD simulations and find that it is initiated by the formation of oxygen Frenkel pairs (FP). These FP are found to form in a collective process involving simultaneous motion of two oxygen ions.
NASA Astrophysics Data System (ADS)
Patro, L. N.; Ravi Chandra Raju, N.; Meher, S. R.; Kamala Bharathi, K.
2013-09-01
This article presents the results on the growth and characterization of BaSnF4 thin films on glass substrates prepared by pulsed laser deposition technique. The structural results of BaSnF4 thin film carried out by glancing angle X-ray diffraction technique indicates the formation of the film with similar structure (tetragonal, P4/nmm) to the bulk target material. The absorption coefficient and band gap of the film is determined by suitable analysis of the transmittance spectra. The transport properties of the thin films are studied using impedance spectroscopy in the temperature range of 323-573 K. The frequency-dependent imaginary part of impedance plot shows that the conductivity relaxation is non-Debye in nature. The scaling behavior of the imaginary part of impedance at various frequencies indicates temperature-independent relaxation behavior.
Gilbert Damping Parameter in MgO-Based Magnetic Tunnel Junctions from First Principles
NASA Astrophysics Data System (ADS)
Tang, Hui-Min; Xia, Ke
2017-03-01
We perform a first-principles study of the Gilbert damping parameter (α ) in normal-metal/MgO-cap/ferromagnet/MgO-barrier/ferromagnetic magnetic tunnel junctions. The damping is enhanced by interface spin pumping, which can be parametrized by the spin-mixing conductance (G↑↓ ). The calculated dependence of Gilbert damping on the thickness of the MgO capping layer is consistent with experiment and indicates that the decreases in α with increasing thickness of the MgO capping layer is caused by suppression of spin pumping. Smaller α can be achieved by using a clean interface and alloys. For a thick MgO capping layer, the imaginary part of the spin-mixing conductance nearly equals the real part, and the large imaginary mixing conductance implies that the change in the frequency of ferromagnetic resonance can be observed experimentally. The normal-metal cap significantly affects the Gilbert damping.
Besser, Avi; Priel, Beatriz
2009-02-01
These studies tested the associations between responses to an induced imaginary romantic rejection and individual differences on dimensions of attachment and covert narcissism. In Study 1 (N=125), we examined the associations between attachment dimensions and emotional responses to a vignette depicting a scenario of romantic rejection, as measured by self-reported negative mood states, expressions of anger, somatic symptoms, and self-evaluation. Higher scores on attachment anxiety, but not on attachment avoidance, were associated with stronger reactions to the induced rejection. Moreover, decreased self-evaluation scores (self-esteem and pride) were found to mediate these associations. In Study 2 (N=88), the relative contributions of covert narcissism and attachment anxiety to the emotional responses to romantic rejection were explored. Higher scores on covert narcissism were associated with stronger reactions to the induced rejection. Moreover, covert narcissism seemed to constitute a specific aspect of attachment anxiety.
Observation of non-classical correlations in sequential measurements of photon polarization
NASA Astrophysics Data System (ADS)
Suzuki, Yutaro; Iinuma, Masataka; Hofmann, Holger F.
2016-10-01
A sequential measurement of two non-commuting quantum observables results in a joint probability distribution for all output combinations that can be explained in terms of an initial joint quasi-probability of the non-commuting observables, modified by the resolution errors and back-action of the initial measurement. Here, we show that the error statistics of a sequential measurement of photon polarization performed at different measurement strengths can be described consistently by an imaginary correlation between the statistics of resolution and back-action. The experimental setup was designed to realize variable strength measurements with well-controlled imaginary correlation between the statistical errors caused by the initial measurement of diagonal polarizations, followed by a precise measurement of the horizontal/vertical polarization. We perform the experimental characterization of an elliptically polarized input state and show that the same complex joint probability distribution is obtained at any measurement strength.
Three-body unitarity in the finite volume
Mai, M.; Döring, M.
2017-12-18
We present the physical interpretation of lattice QCD simulations, performed in a small volume, requires an extrapolation to the infinite volume. A method is proposed to perform such an extrapolation for three interacting particles at energies above threshold. For this, a recently formulated relativisticmore » $$3\\to 3$$ amplitude based on the isobar formulation is adapted to the finite volume. The guiding principle is two- and three-body unitarity that imposes the imaginary parts of the amplitude in the infinite volume. In turn, these imaginary parts dictate the leading power-law finite-volume effects. It is demonstrated that finite-volume poles arising from the singular interaction, from the external two-body sub-amplitudes, and from the disconnected topology cancel exactly leaving only the genuine three-body eigenvalues. Lastly, the corresponding quantization condition is derived for the case of three identical scalar-isoscalar particles and its numerical implementation is demonstrated.« less
Infrared band intensities of saturated hydrocarbons
NASA Technical Reports Server (NTRS)
Pinkley, L. W.; Sethna, P. P.; Williams, D.
1978-01-01
Kramers-Kronig analysis is applied to measured values of spectral reflectance at near-normal incidence to determine the real and the imaginary parts of the complex index of refraction for methane, ethane, propane, n-butane, n-hexane, n-heptane, and n-decane in the liquid state. The results indicate that the strengths of the characteristic bands as measured by the integral of the imaginary part are roughly constant for all the liquid alkanes except for methane. The intensity of the CH valence vibration bands in the spectra of the alkanes except methane is directly proportional to the number of CH groups per unit volume. The relations for the intensity of the bands due to CH2 and CH3 deformations are examined. Characteristic band intensities of the type established for NH4(+) and SO4(2-) groups in solutions and crystals cannot be extended to the more closely coupled CH2 and CH3 groups in alkane molecules.
Skepticism: Genuine unbelief or implicit beliefs in the supernatural?
Lindeman, Marjaana; Svedholm-Häkkinen, Annika M; Riekki, Tapani
2016-05-01
We examined whether skeptics hold implicit supernatural beliefs or implicit cognitive underpinnings of the beliefs. In study 1 (N=57), participants read a biological or a religious story about death. The story content had no effect on skeptics' (or believers') afterlife beliefs. Study 2 examined the relationships between religious and non-religious paranormal beliefs and implicit views about whether supernatural and religious phenomena are imaginary or real (n1=33, n2=31). The less supernatural beliefs were endorsed the easier it was to connect "supernatural" with "imaginary". Study 3 (N=63) investigated whether participants' supernatural beliefs and ontological confusions differ between speeded and non-speeded response conditions. Only non-analytical skeptics' ontological confusions increased in speeded conditions. The results indicate that skeptics overall do not hold implicit supernatural beliefs, but that non-analytically thinking skeptics may, under supporting conditions, be prone to biases that predispose to supernatural beliefs. Copyright © 2016 Elsevier Inc. All rights reserved.
Azevedo, Creuza da Silva
2010-06-01
This paper deals with organization management in a new perspective, stressing the micro-social aspects and the role of individuals in the process of implementing change in public health organizations such as hospitals. Following the paths of French psychosociology, the article approaches the imaginary, intersubjective and collective dimensions of these organizations, highlighting the ways hospitals' directors and employees engage themselves in a struggle for power, affiliation and recognition. An essentially interactive and intersubjective activity, management is examined in the light of psychoanalysis's leadership function. It seems crucial to take into account the directors' potential structuring role in order to understand the organizational changing processes. Nevertheless, the mounting crisis in Rio de Janeiro public health services does not favor change and the building of personal bonds, but disruption, dismantle of institutional affiliations. In this scenario, the management structuring function and the director's social and psychological mediating role lose ground.
Moral maps and medical imaginaries: clinical tourism at Malawi's College of Medicine.
Wendland, Claire L
2012-01-01
At an understaffed and underresourced urban African training hospital, Malawian medical students learn to be doctors while foreign medical students, visiting Malawi as clinical tourists on short-term electives, learn about “global health.” Scientific ideas circulate fast there; clinical tourists circulate readily from outside to Malawi but not the reverse; medical technologies circulate slowly, erratically, and sometimes not at all. Medicine's uneven globalization is on full display. I extend scholarship on moral imaginations and medical imaginaries to propose that students map these wards variously as places in which—or from which—they seek a better medicine. Clinical tourists, enacting their own moral maps, also become representatives of medicine “out there”: points on the maps of others. Ethnographic data show that for Malawians, clinical tourists are colleagues, foils against whom they construct ideas about a superior and distinctly Malawian medicine and visions of possible alternative futures for themselves.
Eichenberger, Alexandre E; Gschwind, Michael K; Gunnels, John A
2014-02-11
Mechanisms for performing a complex matrix multiplication operation are provided. A vector load operation is performed to load a first vector operand of the complex matrix multiplication operation to a first target vector register. The first vector operand comprises a real and imaginary part of a first complex vector value. A complex load and splat operation is performed to load a second complex vector value of a second vector operand and replicate the second complex vector value within a second target vector register. The second complex vector value has a real and imaginary part. A cross multiply add operation is performed on elements of the first target vector register and elements of the second target vector register to generate a partial product of the complex matrix multiplication operation. The partial product is accumulated with other partial products and a resulting accumulated partial product is stored in a result vector register.
Infrared Reflectance Spectroscopy of Porous Silicas
NASA Astrophysics Data System (ADS)
Guiton, Theresa Anne
Fourier transform infrared (FTIR) specular reflectance spectroscopy was used to examine the fundamental phonon behavior of a series of porous silicas including porous Vycor, xerogels, aerogels, and colloidal solids. The spectra were deconvoluted using Kramers-Kronig analysis techniques, and the corresponding optical constants were determined via the Fresnel equations. The resulting spectra represent the first compilation of such data for low density silicas. The porous silicas revealed unique resonance modes for the imaginary dielectric function and energy loss function. A key distinction amongst the spectra was the change in the band shape of the antisymmetric Si-O-Si stretching modes. For instance, as the porosity level of the particulate systems increased, the peak maxima of the imaginary dielectric functions shifted to higher frequencies while the peak maxima of the associated energy loss function shifted to lower frequencies. In essence, with increasing porosity, the peak maxima of the imaginary dielectric functions and the energy loss functions were converging towards frequencies intermediate to the transverse optical and longitudinal optical modes of fused silica. A similar trend was not observed for the semi-continuous silica matrices. Maxwell Garnett effective medium modeling verified that these modes were a function of the porous microstructure and can be attributed to surface phonon modes. The effect of surface phonon modes was also evident in the absorption coefficient data. However, contrary to the traditional view that changes in the absorption spectra of porous silicas are strictly due to molecular structure, this study has demonstrated that variations can be attributed--both qualitatively and quantitatively--to electrostatic screening effects of finite particles.
Meson-nucleus potentials and the search for meson-nucleus bound states
NASA Astrophysics Data System (ADS)
Metag, V.; Nanova, M.; Paryev, E. Ya.
2017-11-01
Recent experiments studying the meson-nucleus interaction to extract meson-nucleus potentials are reviewed. The real part of the potentials quantifies whether the interaction is attractive or repulsive while the imaginary part describes the meson absorption in nuclei. The review is focused on mesons which are sufficiently long-lived to potentially form meson-nucleus quasi-bound states. The presentation is confined to meson production off nuclei in photon-, pion-, proton-, and light-ion induced reactions and heavy-ion collisions at energies near the production threshold. Tools to extract the potential parameters are presented. In most cases, the real part of the potential is determined by comparing measured meson momentum distributions or excitation functions with collision model or transport model calculations. The imaginary part is extracted from transparency ratio measurements. Results on K+ ,K0 ,K- , η ,η‧ , ω, and ϕ mesons are presented and compared with theoretical predictions. The interaction of K+ and K0 mesons with nuclei is found to be weakly repulsive, while the K- , η ,η‧ , ω and ϕ meson-nucleus potentials are attractive, however, with widely different strengths. Because of meson absorption in the nuclear medium the imaginary parts of the meson-nucleus potentials are all negative, again with a large spread. An outlook on planned experiments in the charm sector is given. In view of the determined potential parameters, the criteria and chances for experimentally observing meson-nucleus quasi-bound states are discussed. The most promising candidates appear to be the η and η‧ mesons.
Neural Extrapolation of Motion for a Ball Rolling Down an Inclined Plane
La Scaleia, Barbara; Lacquaniti, Francesco; Zago, Myrka
2014-01-01
It is known that humans tend to misjudge the kinematics of a target rolling down an inclined plane. Because visuomotor responses are often more accurate and less prone to perceptual illusions than cognitive judgments, we asked the question of how rolling motion is extrapolated for manual interception or drawing tasks. In three experiments a ball rolled down an incline with kinematics that differed as a function of the starting position (4 different positions) and slope (30°, 45° or 60°). In Experiment 1, participants had to punch the ball as it fell off the incline. In Experiment 2, the ball rolled down the incline but was stopped at the end; participants were asked to imagine that the ball kept moving and to punch it. In Experiment 3, the ball rolled down the incline and was stopped at the end; participants were asked to draw with the hand in air the trajectory that would be described by the ball if it kept moving. We found that performance was most accurate when motion of the ball was visible until interception and haptic feedback of hand-ball contact was available (Experiment 1). However, even when participants punched an imaginary moving ball (Experiment 2) or drew in air the imaginary trajectory (Experiment 3), they were able to extrapolate to some extent global aspects of the target motion, including its path, speed and arrival time. We argue that the path and kinematics of a ball rolling down an incline can be extrapolated surprisingly well by the brain using both visual information and internal models of target motion. PMID:24940874
Neural extrapolation of motion for a ball rolling down an inclined plane.
La Scaleia, Barbara; Lacquaniti, Francesco; Zago, Myrka
2014-01-01
It is known that humans tend to misjudge the kinematics of a target rolling down an inclined plane. Because visuomotor responses are often more accurate and less prone to perceptual illusions than cognitive judgments, we asked the question of how rolling motion is extrapolated for manual interception or drawing tasks. In three experiments a ball rolled down an incline with kinematics that differed as a function of the starting position (4 different positions) and slope (30°, 45° or 60°). In Experiment 1, participants had to punch the ball as it fell off the incline. In Experiment 2, the ball rolled down the incline but was stopped at the end; participants were asked to imagine that the ball kept moving and to punch it. In Experiment 3, the ball rolled down the incline and was stopped at the end; participants were asked to draw with the hand in air the trajectory that would be described by the ball if it kept moving. We found that performance was most accurate when motion of the ball was visible until interception and haptic feedback of hand-ball contact was available (Experiment 1). However, even when participants punched an imaginary moving ball (Experiment 2) or drew in air the imaginary trajectory (Experiment 3), they were able to extrapolate to some extent global aspects of the target motion, including its path, speed and arrival time. We argue that the path and kinematics of a ball rolling down an incline can be extrapolated surprisingly well by the brain using both visual information and internal models of target motion.
Microstrip Ring Resonator for Soil Moisture Measurements
NASA Technical Reports Server (NTRS)
Sarabandi, Kamal; Li, Eric S.
1993-01-01
Accurate determination of spatial soil moisture distribution and monitoring its temporal variation have a significant impact on the outcomes of hydrologic, ecologic, and climatic models. Development of a successful remote sensing instrument for soil moisture relies on the accurate knowledge of the soil dielectric constant (epsilon(sub soil)) to its moisture content. Two existing methods for measurement of dielectric constant of soil at low and high frequencies are, respectively, the time domain reflectometry and the reflection coefficient measurement using an open-ended coaxial probe. The major shortcoming of these methods is the lack of accurate determination of the imaginary part of epsilon(sub soil). In this paper a microstrip ring resonator is proposed for the accurate measurement of soil dielectric constant. In this technique the microstrip ring resonator is placed in contact with soil medium and the real and imaginary parts of epsilon(sub soil) are determined from the changes in the resonant frequency and the quality factor of the resonator respectively. The solution of the electromagnetic problem is obtained using a hybrid approach based on the method of moments solution of the quasi-static formulation in conjunction with experimental data obtained from reference dielectric samples. Also a simple inversion algorithm for epsilon(sub soil) = epsilon'(sub r) + j(epsilon"(sub r)) based on regression analysis is obtained. It is shown that the wide dynamic range of the measured quantities provides excellent accuracy in the dielectric constant measurement. A prototype microstrip ring resonator at L-band is designed and measurements of soil with different moisture contents are presented and compared with other approaches.
NASA Astrophysics Data System (ADS)
Toledo, D.; Arruego, I.; Apéstigue, V.; Jiménez, J. J.; Gómez, L.; Yela, M.; Rannou, P.; Pommereau, J.-P.
2017-04-01
The solar irradiance sensor (SIS) was included in the DREAMS package onboard the ExoMars 2016 Entry Descent and Landing Demonstrator Module, and has been selected in the METEO meteorological station onboard the ExoMars 2020 Lander. This instrument is designed to measure at different time intervals the scattered flux or the sum of direct flux and scattered flux in UVA (315-400 nm) and NIR (700-1100 nm) bands. For SIS'16, these measurements are performed by a total of 3 sensors per band placed at the faces of a truncated tetrahedron with face inclination angles of 60°. The principal goal of SIS'16 design is to perform measurements of the dust opacity in UVA and NIR wavelengths ranges, crucial parameters in the understanding of the Martian dust cycle. The retrieval procedure is based on the use of radiative transfer simulations to reproduce SIS observations acquired during daytime as a function of dust opacity. Based on different sensitivity analysis, the retrieval procedure also requires to include as free parameters (1) the dust effective radius; (2) the dust effective variance; and (3) the imaginary part of the refractive index of dust particles in UVA band. We found that the imaginary part of the refractive index of dust particles does not have a big impact on NIR signal, and hence we can kept constant this parameter in the retrieval of dust opacity at this channel. In addition to dust opacity measurements, this instrument is also capable to detect and characterize clouds by looking at the time variation of the color index (CI), defined as the ratio between the observations in NIR and UVA channels, during daytime or twilight. By simulating CI signals with a radiative transfer model, the cloud opacity and cloud altitude (only during twilight) can be retrieved. Here the different retrieval procedures that are used to analyze SIS measurements, as well as the results obtained in different sensitivity analysis, are presented and discussed.
Management Is the Name of the Game.
ERIC Educational Resources Information Center
Samuel, Oliver
1986-01-01
Describes a teaching game designed to train clinicians about effective management practices and strategies. Provides the goals and objectives of the same, along with the specific instructions for participants involved in this simulated operation of an imaginary health center. (TW)
Asian and Pacific American Exceptional Children. A Conversation.
ERIC Educational Resources Information Center
Decano, Pio
1979-01-01
Presented in the format of an imaginary dialogue between seven educators of Asian and Pacific American (APA) backgrounds, the article addresses some issues and concerns in the training of special education personnel to work with APA handicapped children. (DLS)
ERIC Educational Resources Information Center
Farris, Cynthia Cox
1999-01-01
Presents a lesson where second- and third-grade students draw imaginary birds after examining pictures of real birds to get ideas for various poses. Explains the use of colors where the students learn to blend colors using an art technique called "rainbow order." (CMK)
Real-time MST radar signal processing using a microcomputer running under FORTH
NASA Technical Reports Server (NTRS)
Bowhill, S. A.
1983-01-01
Data on power, correlation time, and velocity were obtained at the Urbana radar using microcomputer and a single floppy disk drive. This system includes the following features: (1) measurement of the real and imaginary components of the received signal at 20 altitudes spaced by 1.5 km; (2) coherent integration of these components over a 1/8-s time period; (3) continuous real time display of the height profiles of the two coherently integrated components; (4) real time calculation of the 1 minute averages of the power and autocovariance function up to 6 lags; (5) output of these data to floppy disk once every 2 minutes; (6) display of the 1 minute power profiles while the data are stored to the disk; (7) visual prompting for the operator to change disks when required at the end of each hour of data; and (8) continuous audible indication of the status of the interrupt service routine. Accomplishments were enabled by two developments: the use of a new correlation algorithm and the use of the FORTH language to manage the various low level and high level procedures involved.
NASA Astrophysics Data System (ADS)
Perry, Angela; Neipert, Christine; Kasprzyk, Christina Ridley; Green, Tony; Space, Brian; Moore, Preston B.
2005-10-01
An improved time correlation function (TCF) description of sum frequency generation (SFG) spectroscopy was developed and applied to theoretically describing the spectroscopy of the ambient water/vapor interface. A more general TCF expression than was published previously is presented—it is valid over the entire vibrational spectrum for both the real and imaginary parts of the signal. Computationally, earlier time correlation function approaches were limited to short correlation times that made signal processing challenging. Here, this limitation is overcome, and well-averaged spectra are presented for the three independent polarization conditions that are possible for electronically nonresonant SFG. The theoretical spectra compare quite favorably in shape and relative magnitude to extant experimental results in the O H stretching region of water for all polarization geometries. The methodological improvements also allow the calculation of intermolecular SFG spectra. While the intermolecular spectrum of bulk water shows relatively little structure, the interfacial spectra (for polarizations that are sensitive to dipole derivatives normal to the interface—SSP and PPP) show a well-defined intermolecular mode at 875cm-1 that is comparable in intensity to the rest of the intermolecular structure, and has an intensity that is approximately one-sixth of the magnitude of the intense free OH stretching peak. Using instantaneous normal mode methods, the resonance is shown to be due to a wagging mode localized on a single water molecule, almost parallel to the interface, with two hydrogens displaced normal to the interface, and the oxygen anchored in the interface. We have also uncovered the origin of another intermolecular mode at 95cm-1 for the SSP and PPP spectra, and at 220cm-1 for the SPS spectra. These resonances are due to hindered translations perpendicular to the interface for the SSP and PPP spectra, and translations parallel to the interface for the SPS spectra. Further, by examining the real and imaginary parts of the SFG signal, several resonances are shown to be due to a single spectroscopic species while the "donor" OH region is shown to consist of three distinct species—consistent with an earlier experimental analysis.
A quantum model of option pricing: When Black-Scholes meets Schrödinger and its semi-classical limit
NASA Astrophysics Data System (ADS)
Contreras, Mauricio; Pellicer, Rely; Villena, Marcelo; Ruiz, Aaron
2010-12-01
The Black-Scholes equation can be interpreted from the point of view of quantum mechanics, as the imaginary time Schrödinger equation of a free particle. When deviations of this state of equilibrium are considered, as a product of some market imperfection, such as: Transaction cost, asymmetric information issues, short-term volatility, extreme discontinuities, or serial correlations; the classical non-arbitrage assumption of the Black-Scholes model is violated, implying a non-risk-free portfolio. From Haven (2002) [1] we know that an arbitrage environment is a necessary condition to embedding the Black-Scholes option pricing model in a more general quantum physics setting. The aim of this paper is to propose a new Black-Scholes-Schrödinger model based on the endogenous arbitrage option pricing formulation introduced by Contreras et al. (2010) [2]. Hence, we derive a more general quantum model of option pricing, that incorporates arbitrage as an external time dependent force, which has an associated potential related to the random dynamic of the underlying asset price. This new resultant model can be interpreted as a Schrödinger equation in imaginary time for a particle of mass 1/σ2 with a wave function in an external field force generated by the arbitrage potential. As pointed out above, this new model can be seen as a more general formulation, where the perfect market equilibrium state postulated by the Black-Scholes model represent a particular case. Finally, since the Schrödinger equation is in place, we can apply semiclassical methods, of common use in theoretical physics, to find an approximate analytical solution of the Black-Scholes equation in the presence of market imperfections, as it is the case of an arbitrage bubble. Here, as a numerical illustration of the potential of this Schrödinger equation analogy, the semiclassical approximation is performed for different arbitrage bubble forms (step, linear and parabolic) and compare with the exact solution of our general quantum model of option pricing.
Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
NASA Astrophysics Data System (ADS)
Muruganandam, P.; Adhikari, S. K.
2009-10-01
Here we develop simple numerical algorithms for both stationary and non-stationary solutions of the time-dependent Gross-Pitaevskii (GP) equation describing the properties of Bose-Einstein condensates at ultra low temperatures. In particular, we consider algorithms involving real- and imaginary-time propagation based on a split-step Crank-Nicolson method. In a one-space-variable form of the GP equation we consider the one-dimensional, two-dimensional circularly-symmetric, and the three-dimensional spherically-symmetric harmonic-oscillator traps. In the two-space-variable form we consider the GP equation in two-dimensional anisotropic and three-dimensional axially-symmetric traps. The fully-anisotropic three-dimensional GP equation is also considered. Numerical results for the chemical potential and root-mean-square size of stationary states are reported using imaginary-time propagation programs for all the cases and compared with previously obtained results. Also presented are numerical results of non-stationary oscillation for different trap symmetries using real-time propagation programs. A set of convenient working codes developed in Fortran 77 are also provided for all these cases (twelve programs in all). In the case of two or three space variables, Fortran 90/95 versions provide some simplification over the Fortran 77 programs, and these programs are also included (six programs in all). Program summaryProgram title: (i) imagetime1d, (ii) imagetime2d, (iii) imagetime3d, (iv) imagetimecir, (v) imagetimesph, (vi) imagetimeaxial, (vii) realtime1d, (viii) realtime2d, (ix) realtime3d, (x) realtimecir, (xi) realtimesph, (xii) realtimeaxial Catalogue identifier: AEDU_v1_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEDU_v1_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 122 907 No. of bytes in distributed program, including test data, etc.: 609 662 Distribution format: tar.gz Programming language: FORTRAN 77 and Fortran 90/95 Computer: PC Operating system: Linux, Unix RAM: 1 GByte (i, iv, v), 2 GByte (ii, vi, vii, x, xi), 4 GByte (iii, viii, xii), 8 GByte (ix) Classification: 2.9, 4.3, 4.12 Nature of problem: These programs are designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in one-, two- or three-space dimensions with a harmonic, circularly-symmetric, spherically-symmetric, axially-symmetric or anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Solution method: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation, in either imaginary or real time, over small time steps. The method yields the solution of stationary and/or non-stationary problems. Additional comments: This package consists of 12 programs, see "Program title", above. FORTRAN77 versions are provided for each of the 12 and, in addition, Fortran 90/95 versions are included for ii, iii, vi, viii, ix, xii. For the particular purpose of each program please see the below. Running time: Minutes on a medium PC (i, iv, v, vii, x, xi), a few hours on a medium PC (ii, vi, viii, xii), days on a medium PC (iii, ix). Program summary (1)Title of program: imagtime1d.F Title of electronic file: imagtime1d.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 1 GByte Programming language used: Fortran 77 Typical running time: Minutes on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in one-space dimension with a harmonic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in imaginary time over small time steps. The method yields the solution of stationary problems. Program summary (2)Title of program: imagtimecir.F Title of electronic file: imagtimecir.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 1 GByte Programming language used: Fortran 77 Typical running time: Minutes on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in two-space dimensions with a circularly-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in imaginary time over small time steps. The method yields the solution of stationary problems. Program summary (3)Title of program: imagtimesph.F Title of electronic file: imagtimesph.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 1 GByte Programming language used: Fortran 77 Typical running time: Minutes on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in three-space dimensions with a spherically-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in imaginary time over small time steps. The method yields the solution of stationary problems. Program summary (4)Title of program: realtime1d.F Title of electronic file: realtime1d.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 2 GByte Programming language used: Fortran 77 Typical running time: Minutes on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in one-space dimension with a harmonic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in real time over small time steps. The method yields the solution of stationary and non-stationary problems. Program summary (5)Title of program: realtimecir.F Title of electronic file: realtimecir.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 2 GByte Programming language used: Fortran 77 Typical running time: Minutes on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in two-space dimensions with a circularly-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in real time over small time steps. The method yields the solution of stationary and non-stationary problems. Program summary (6)Title of program: realtimesph.F Title of electronic file: realtimesph.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 2 GByte Programming language used: Fortran 77 Typical running time: Minutes on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in three-space dimensions with a spherically-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in real time over small time steps. The method yields the solution of stationary and non-stationary problems. Program summary (7)Title of programs: imagtimeaxial.F and imagtimeaxial.f90 Title of electronic file: imagtimeaxial.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 2 GByte Programming language used: Fortran 77 and Fortran 90 Typical running time: Few hours on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in three-space dimensions with an axially-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in imaginary time over small time steps. The method yields the solution of stationary problems. Program summary (8)Title of program: imagtime2d.F and imagtime2d.f90 Title of electronic file: imagtime2d.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 2 GByte Programming language used: Fortran 77 and Fortran 90 Typical running time: Few hours on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in two-space dimensions with an anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in imaginary time over small time steps. The method yields the solution of stationary problems. Program summary (9)Title of program: realtimeaxial.F and realtimeaxial.f90 Title of electronic file: realtimeaxial.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 4 GByte Programming language used: Fortran 77 and Fortran 90 Typical running time Hours on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in three-space dimensions with an axially-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in real time over small time steps. The method yields the solution of stationary and non-stationary problems. Program summary (10)Title of program: realtime2d.F and realtime2d.f90 Title of electronic file: realtime2d.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 4 GByte Programming language used: Fortran 77 and Fortran 90 Typical running time: Hours on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in two-space dimensions with an anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in real time over small time steps. The method yields the solution of stationary and non-stationary problems. Program summary (11)Title of program: imagtime3d.F and imagtime3d.f90 Title of electronic file: imagtime3d.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum RAM memory: 4 GByte Programming language used: Fortran 77 and Fortran 90 Typical running time: Few days on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in three-space dimensions with an anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in imaginary time over small time steps. The method yields the solution of stationary problems. Program summary (12)Title of program: realtime3d.F and realtime3d.f90 Title of electronic file: realtime3d.tar.gz Catalogue identifier: Program summary URL: Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Distribution format: tar.gz Computers: PC/Linux, workstation/UNIX Maximum Ram Memory: 8 GByte Programming language used: Fortran 77 and Fortran 90 Typical running time: Days on a medium PC Unusual features: None Nature of physical problem: This program is designed to solve the time-dependent Gross-Pitaevskii nonlinear partial differential equation in three-space dimensions with an anisotropic trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. The discretized equation is then solved by propagation in real time over small time steps. The method yields the solution of stationary and non-stationary problems.
Deriving the exact nonadiabatic quantum propagator in the mapping variable representation.
Hele, Timothy J H; Ananth, Nandini
2016-12-22
We derive an exact quantum propagator for nonadiabatic dynamics in multi-state systems using the mapping variable representation, where classical-like Cartesian variables are used to represent both continuous nuclear degrees of freedom and discrete electronic states. The resulting Liouvillian is a Moyal series that, when suitably approximated, can allow for the use of classical dynamics to efficiently model large systems. We demonstrate that different truncations of the exact Liouvillian lead to existing approximate semiclassical and mixed quantum-classical methods and we derive an associated error term for each method. Furthermore, by combining the imaginary-time path-integral representation of the Boltzmann operator with the exact Liouvillian, we obtain an analytic expression for thermal quantum real-time correlation functions. These results provide a rigorous theoretical foundation for the development of accurate and efficient classical-like dynamics to compute observables such as electron transfer reaction rates in complex quantized systems.
The peak electromagnetic power radiated by lightning return strokes
NASA Technical Reports Server (NTRS)
Krider, E. P.; Guo, C.
1983-01-01
Estimates of the peak electromagnetic (EM) power radiated by return strokes have been made by integrating the Poynting vector of measured fields over an imaginary hemispherical surface that is centered on the lightning source, assuming that ground losses are negligible. Values of the peak EM power from first and subsequent strokes have means and standard deviations of 2 + or - 2 x 10 to the 10th and 3 + or - 4 x 10 to the 9th W, respectively. The average EM power that is radiated by subsequent strokes, at the time of the field peak, is about 2 orders of magnitude larger than the optical power that is radiated by these strokes in the wavelength interval from 0.4 to 1.1 micron; hence an upper limit to the radiative efficiency of a subsequent stroke is of the order of 1 percent or less at this time.
What did Kramers and Kronig do and how did they do it?
NASA Astrophysics Data System (ADS)
Bohren, Craig F.
2010-05-01
Over time the account of how the Kramers-Kronig (dispersion) relations between the real and imaginary parts of response functions were derived in 1926 and 1927 has been transmogrified into anecdotes about what might have been done but was not. Although Kramers obtained both members of a pair of relations, Kronig obtained only one. Both authors appealed to specific models of an atomic gas rather than to the general arguments about linearity, causality and analyticity in modern model-independent derivations. Kramers merely speculated on whether the specific results he obtained might have a more general validity. Neither author showed that a signal cannot travel faster than cin any medium for which the dispersion relations are satisfied. Indeed, they did not mention, even obliquely, signal speeds and causality. Despite their magical aura, Kramers-Kronig relations are translations into somewhat cryptic frequency language of statements clearer in time language.
Unsteady jet flow computation towards noise prediction
NASA Technical Reports Server (NTRS)
Soh, Woo-Yung
1994-01-01
An attempt has been made to combine a wave solution method and an unsteady flow computation to produce an integrated aeroacoustic code to predict far-field jet noise. An axisymmetric subsonic jet is considered for this purpose. A fourth order space accurate Pade compact scheme is used for the unsteady Navier-Stokes solution. A Kirchhoff surface integral for the wave equation is employed through the use of an imaginary surface which is a circular cylinder enclosing the jet at a distance. Information such as pressure and its time and normal derivatives is provided on the surface. The sound prediction is performed side by side with the jet flow computation. Retarded time is also taken into consideration since the cylinder body is not acoustically compact. The far-field sound pressure has the directivity and spectra show that low frequency peaks shift toward higher frequency region as the observation angle increases from the jet flow axis.
A B-B-G-K-Y framework for fluid turbulence
NASA Technical Reports Server (NTRS)
Montgomery, D.
1975-01-01
A kinetic theory for fluid turbulence is developed from the Liouville equation and the associated BBGKY hierarchy. Real and imaginary parts of Fourier coefficients of fluid variables play the roles of particles. Closure is achieved by the assumption of negligible five-coefficient correlation functions and probability distributions of Fourier coefficients are the basic variables of the theory. An additional approximation leads to a closed-moment description similar to the so-called eddy-damped Markovian approximation. A kinetic equation is derived for which conservation laws and an H-theorem can be rigorously established, the H-theorem implying relaxation of the absolute equilibrium of Kraichnan. The equation can be cast in the Fokker-Planck form, and relaxation times estimated from its friction and diffusion coefficients. An undetermined parameter in the theory is the free decay time for triplet correlations. Some attention is given to the inclusion of viscous damping and external driving forces.
NASA Astrophysics Data System (ADS)
Tay, Wei Choon; Tan, Eng Leong
2014-07-01
In this paper, we have proposed a pentadiagonal alternating-direction-implicit (Penta-ADI) finite-difference time-domain (FDTD) method for the two-dimensional Schrödinger equation. Through the separation of complex wave function into real and imaginary parts, a pentadiagonal system of equations for the ADI method is obtained, which results in our Penta-ADI method. The Penta-ADI method is further simplified into pentadiagonal fundamental ADI (Penta-FADI) method, which has matrix-operator-free right-hand-sides (RHS), leading to the simplest and most concise update equations. As the Penta-FADI method involves five stencils in the left-hand-sides (LHS) of the pentadiagonal update equations, special treatments that are required for the implementation of the Dirichlet's boundary conditions will be discussed. Using the Penta-FADI method, a significantly higher efficiency gain can be achieved over the conventional Tri-ADI method, which involves a tridiagonal system of equations.
Parity-time symmetry breaking in magnetic systems
Galda, Alexey; Vinokur, Valerii M.
2016-07-14
The understanding of out-of-equilibrium physics, especially dynamic instabilities and dynamic phase transitions, is one of the major challenges of contemporary science, spanning the broadest wealth of research areas that range from quantum optics to living organisms. By focusing on nonequilibrium dynamics of an open dissipative spin system, we introduce a non-Hermitian Hamiltonian approach, in which non-Hermiticity reflects dissipation and deviation from equilibrium. The imaginary part of the proposed spin Hamiltonian describes the effects of Gilbert damping and applied Slonczewski spin-transfer torque. In the classical limit, our approach reproduces Landau-Lifshitz-Gilbert-Slonczewski dynamics of a large macrospin. Here, we reveal the spin-transfer torque-drivenmore » parity-time symmetry-breaking phase transition corresponding to a transition from precessional to exponentially damped spin dynamics. Micromagnetic simulations for nanoscale ferromagnetic disks demonstrate the predicted effect. These findings can pave the way to a general quantitative description of out-of-equilibrium phase transitions driven by spontaneous parity-time symmetry breaking.« less
Principal component analysis for fermionic critical points
NASA Astrophysics Data System (ADS)
Costa, Natanael C.; Hu, Wenjian; Bai, Z. J.; Scalettar, Richard T.; Singh, Rajiv R. P.
2017-11-01
We use determinant quantum Monte Carlo (DQMC), in combination with the principal component analysis (PCA) approach to unsupervised learning, to extract information about phase transitions in several of the most fundamental Hamiltonians describing strongly correlated materials. We first explore the zero-temperature antiferromagnet to singlet transition in the periodic Anderson model, the Mott insulating transition in the Hubbard model on a honeycomb lattice, and the magnetic transition in the 1/6-filled Lieb lattice. We then discuss the prospects for learning finite temperature superconducting transitions in the attractive Hubbard model, for which there is no sign problem. Finally, we investigate finite temperature charge density wave (CDW) transitions in the Holstein model, where the electrons are coupled to phonon degrees of freedom, and carry out a finite size scaling analysis to determine Tc. We examine the different behaviors associated with Hubbard-Stratonovich auxiliary field configurations on both the entire space-time lattice and on a single imaginary time slice, or other quantities, such as equal-time Green's and pair-pair correlation functions.
2009-06-12
barbarians as no match for his legions. He stated, ―from childhood they [the Germans] 44 Ibid., 39. 45...They enacted an imaginary uprising for Varus to subdue in order to lure Rome away from their defensive fortifications. 110 This made the Romans
Using Children's Literature to Clarify Science Concepts in Early Childhood Programs.
ERIC Educational Resources Information Center
Smardo, Frances A.
1982-01-01
Argues that children's books that deal with science concepts can help young children make a distinction between what is real and what is imaginary. Annotates a number of fiction books that can be used for this purpose. (FL)
Quasinormal modes of modified gravity (MOG) black holes
NASA Astrophysics Data System (ADS)
Manfredi, Luciano; Mureika, Jonas; Moffat, John
2018-04-01
The Quasinormal modes (QNMs) for gravitational and electromagnetic perturbations are calculated in a Scalar-Tensor-Vector (Modified Gravity) spacetime, which was initially proposed to obtain correct dynamics of galaxies and galaxy clusters without the need for dark matter. It is found that for the increasing model parameter α, both the real and imaginary parts of the QNMs decrease compared to those for a standard Schwarzschild black hole. On the other hand, when taking into account the 1 / (1 + α) mass re-scaling factor present in MOG, Im (ω) matches almost identically that of GR, while Re (ω) is higher. These results can be identified in the ringdown phase of massive compact object mergers, and are thus timely in light of the recent gravitational wave detections by LIGO.
NASA Astrophysics Data System (ADS)
Rahm, Jrène
2016-03-01
Marta Civil's paper "STEM learning research through a funds of knowledge lens" can be read as a story about her trajectory as a researcher of everyday and school mathematics over time, grounded in sociocultural historical theory. Building on her work, I explore three issues. First, I address the grounding of STEM research in studies of learning and show what this may imply in the context of multilingualism and transculturism. Second, I explore how funds of knowledge can put into question what counts as science. Third, I discuss some of the methodological challenges the article raises. I conclude with some comments to think with for the future of the STEM field and equitable science.
Recoil Polarization for Δ Excitation in Pion Electroproduction
NASA Astrophysics Data System (ADS)
Kelly, J. J.; Roché, R. E.; Chai, Z.; Jones, M. K.; Gayou, O.; Sarty, A. J.; Frullani, S.; Aniol, K.; Beise, E. J.; Benmokhtar, F.; Bertozzi, W.; Boeglin, W. U.; Botto, T.; Brash, E. J.; Breuer, H.; Brown, E.; Burtin, E.; Calarco, J. R.; Cavata, C.; Chang, C. C.; Chant, N. S.; Chen, J.-P.; Coman, M.; Crovelli, D.; de Leo, R.; Dieterich, S.; Escoffier, S.; Fissum, K. G.; Garde, V.; Garibaldi, F.; Georgakopoulus, S.; Gilad, S.; Gilman, R.; Glashausser, C.; Hansen, J.-O.; Higinbotham, D. W.; Hotta, A.; Huber, G. M.; Ibrahim, H.; Iodice, M.; de Jager, C. W.; Jiang, X.; Klimenko, A.; Kozlov, A.; Kumbartzki, G.; Kuss, M.; Lagamba, L.; Laveissière, G.; Lerose, J. J.; Lindgren, R. A.; Liyanage, N.; Lolos, G. J.; Lourie, R. W.; Margaziotis, D. J.; Marie, F.; Markowitz, P.; McAleer, S.; Meekins, D.; Michaels, R.; Milbrath, B. D.; Mitchell, J.; Nappa, J.; Neyret, D.; Perdrisat, C. F.; Potokar, M.; Punjabi, V. A.; Pussieux, T.; Ransome, R. D.; Roos, P. G.; Rvachev, M.; Saha, A.; Širca, S.; Suleiman, R.; Strauch, S.; Templon, J. A.; Todor, L.; Ulmer, P. E.; Urciuoli, G. M.; Weinstein, L. B.; Wijesooriya, K.; Wojtsekhowski, B.; Zheng, X.; Zhu, L.
2005-08-01
We measured angular distributions of recoil-polarization response functions for neutral pion electroproduction for W=1.23 GeV at Q2=1.0 (GeV/c)2, obtaining 14 separated response functions plus 2 Rosenbluth combinations; of these, 12 have been observed for the first time. Dynamical models do not describe quantities governed by imaginary parts of interference products well, indicating the need for adjusting magnitudes and phases for nonresonant amplitudes. We performed a nearly model-independent multipole analysis and obtained values for Re (S1+/M1+)=-(6.84±0.15)% and Re (E1+/M1+)=-(2.91±0.19)% that are distinctly different from those from the traditional Legendre analysis based upon M1+ dominance and ℓπ≤1 truncation.
Canonical Drude Weight for Non-integrable Quantum Spin Chains
NASA Astrophysics Data System (ADS)
Mastropietro, Vieri; Porta, Marcello
2018-03-01
The Drude weight is a central quantity for the transport properties of quantum spin chains. The canonical definition of Drude weight is directly related to Kubo formula of conductivity. However, the difficulty in the evaluation of such expression has led to several alternative formulations, accessible to different methods. In particular, the Euclidean, or imaginary-time, Drude weight can be studied via rigorous renormalization group. As a result, in the past years several universality results have been proven for such quantity at zero temperature; remarkably, the proofs work for both integrable and non-integrable quantum spin chains. Here we establish the equivalence of Euclidean and canonical Drude weights at zero temperature. Our proof is based on rigorous renormalization group methods, Ward identities, and complex analytic ideas.
Molecular excited states from the SCAN functional
NASA Astrophysics Data System (ADS)
Tozer, David J.; Peach, Michael J. G.
2018-06-01
The performance of the strongly constrained and appropriately normed (SCAN) meta-generalised gradient approximation exchange-correlation functional is investigated for the calculation of time-dependent density-functional theory molecular excitation energies of local, charge-transfer and Rydberg character, together with the excited ? potential energy curve in H2. The SCAN results frequently resemble those obtained using a global hybrid functional, with either a standard or increased fraction of exact orbital exchange. For local excitations, SCAN can exhibit significant triplet instability problems, resulting in imaginary triplet excitation energies for a number of cases. The Tamm-Dancoff approximation offers a simple approach to improve the situation, but the excitation energies are still significantly underestimated. Understanding the origin of these (near)-triplet instabilities may provide useful insight into future functional development.
NASA Astrophysics Data System (ADS)
Berggren, Karl-Fredrik; Tellander, Felix; Yakimenko, Irina
2018-05-01
Non-Hermitian quantum mechanics with parity-time (PT) symmetry is presently gaining great interest, especially within the fields of photonics and optics. Here, we give a brief overview of low-dimensional semiconductor nanodevices using the example of a quantum dot with input and output leads, which are mimicked by imaginary potentials for gain and loss, and how wave functions, particle flow, coalescence of levels and associated breaking of PT symmetry may be analysed within such a framework. Special attention is given to the presence of exceptional points and symmetry breaking. Related features for musical string instruments and ‘wolf-notes’ are outlined briefly with suggestions for further experiments.
NASA Astrophysics Data System (ADS)
Waltham, D.; Lota, J.
2012-12-01
The location of the habitable zone around a star depends upon stellar luminosity and upon the properties of a potentially habitable planet such as its mass and near-surface volatile inventory. Stellar luminosity generally increases as a star ages whilst planetary properties change through time as a consequence of biological and geological evolution. Hence, the location of the habitable zone changes through time as a result of both stellar evolution and planetary evolution. Using the Earth's Phanerozoic temperature history as a constraint, it is shown that changes in our own habitable zone over the last 540 My have been dominated by planetary evolution rather than solar evolution. Furthermore, sparse data from earlier times suggests that planetary evolution may have dominated habitable zone development throughout our biosphere's history. Hence, the existence of a continuously habitable zone depends upon accidents of complex bio-geochemical evolution more than it does upon relatively simple stellar-evolution. Evolution of the inner margin of the habitable zone through time using three different estimates for climate sensitivity. The dashed line shows a typical predicted evolution assuming this was driven simply by a steady increase in solar luminosity. Solar evolution does not account for the observations. Evolution of the outer margin of the habitable zone through time using three different estimates for climate sensitivity. The dashed line shows a typical predicted evolution assuming this was driven simply by a steady increase in solar luminosity. Solar evolution does not account for the observations.
The Satirical Value of Virtual Worlds
ERIC Educational Resources Information Center
Baggaley, Jon
2010-01-01
Imaginary worlds have been devised by artists and commentators for centuries to focus satirical attention on society's problems. The increasing sophistication of three-dimensional graphics software is generating comparable "virtual worlds" for educational usage. Can such worlds play a satirical role suggesting developments in distance…
The Importance of Being Playful.
ERIC Educational Resources Information Center
Bodrova, Elena; Leong, Deborah J.
2003-01-01
Recent research provides evidence of the strong connections between quality of play in preschool years and children's readiness for school instruction. Mature play, characterized by imaginary situations, multiple roles, clearly defined rules, flexible themes, language development, length of play, helps students' cognitive development. (Contains 12…
ERIC Educational Resources Information Center
Dalton, LeRoy C., Ed.; Snyder, Henry D., Ed.
The ten chapters in this booklet cover topics not ordinarily discussed in the classroom: Fibonacci sequences, projective geometry, groups, infinity and transfinite numbers, Pascal's Triangle, topology, experiments with natural numbers, non-Euclidean geometries, Boolean algebras, and the imaginary and the infinite in geometry. Each chapter is…
NASA Astrophysics Data System (ADS)
Beirau, Tobias; Murawski, Dawid; Behrens, Harald; Salje, Ekhard K. H.; Groat, Lee A.; Kaden, Ronny; Pöllmann, Herbert; Bismayer, Ulrich
2018-01-01
In situ temperature-dependent laser-induced photoluminescence and dielectric measurements provide new evidence for the local occurrence of the α → β phase transition near 500 K in the preserved crystalline parts of natural radiation-damaged titanite (sample E2335 with ~24% amorphous fraction, containing Fe and Al impurities). Photoluminescence spectroscopic measurements show an anomaly in the vicinity of 500 K. The temperature-dependent evolution of the real part of the electrical conductivity (σ) and the real (ɛ‧) and the imaginary (ɛ″) part of the complex dielectric permittivity (ɛ *) of titanite have been measured at various AC frequencies (~1.2-96.8 kHz). Despite the masking and smearing effect of impurities and defects, the temperature-dependent behaviour of ɛ‧ and ɛ″ around the transition temperature of the investigated natural titanite E2335 shows a remarkable similarity to that of the synthetic end-member material (see Zhang et al (1995 Phys. Chem. Miner. 22 41-9)). This study indicates the suitability of photoluminescence and impedance spectroscopy for the detection of phase transitions, even in heavily disordered systems.
Schiltz, L; Zimoch, A
2013-01-01
According to the state-of-the-art in health psychology and psycho-oncology, a cancerous disease, as well as the accompanying medical treatments, is a source ofintense emotional stress. As feelings of insecurity and anxiety are likely to induce negative effects on immune defences, those effects may overlap with the cancerous disease and complicate its evolution. As arts therapies tend to favour the imaginary and symbolic elaboration of the tensions of daily life, as well as the re appropriation of one's body and personal history, different artistic mediations may occupy an important function in the psychological follow-up of the patient. Following an exploratory study in a hospital, we carried out an action-research in an out-patient setting during six moths. The arts therapeutic treatment comprehended alternatively drawing and writing sessions while listening to music, opening tracks for a thorough verbal elaboration. The evaluation was based on psychometric scales (HADS and MDBF), rating scales for the pictorial and literary production and a semi-structured interview. According to the results of the quantitative analyses, based on non parametric statistical procedures for small groups and non metric data, as well as to the qualitative content analyses, arts therapies could become a valuable treating measure within a multidisciplinary bio-psycho-social approach.
NASA Astrophysics Data System (ADS)
Sánchez-Sesma, Francisco J.
2017-07-01
Microtremor H/ V spectral ratio (MHVSR) has gained popularity to assess the dominant frequency of soil sites. It requires measurement of ground motion due to seismic ambient noise at a site and a relatively simple processing. Theory asserts that the ensemble average of the autocorrelation of motion components belonging to a diffuse field at a given receiver gives the directional energy densities (DEDs) which are proportional to the imaginary parts of the Green's function components when both source and receiver are the same point and the directions of force and response coincide. Therefore, the MHVSR can be modeled as the square root of 2 × Im G 11/Im G 33, where Im G 11 and Im G 33 are the imaginary parts of Green's functions at the load point for the horizontal (sub-index 1) and vertical (sub-index 3) components, respectively. This connection has physical implications that emerge from the duality DED force and allows understanding the behavior of the MHVSR. For a given model, the imaginary parts of the Green's functions are integrals along a radial wavenumber. To deal with these integrals, we have used either the popular discrete wavenumber method or the Cauchy's residue theorem at the poles that account for surface waves normal modes giving the contributions due to Rayleigh and Love waves. For the retrieval of the velocity structure, one can minimize the weighted differences between observations and calculated values using the strategy of an inversion scheme. In this research, we used simulated annealing but other optimization techniques can be used as well. This last approach allows computing separately the contributions of different wave types. An example is presented for the mouth of Andarax River at Almería, Spain. [Figure not available: see fulltext.
L-band Dielectric Constant Measurements of Seawater (Oral presentation and SMOS Poster)
NASA Technical Reports Server (NTRS)
Lang, Roger H.; Utku, Cuneyt; LeVine, David M.
2003-01-01
This paper describes a resonant cavity technique for the measurement of the dielectric constant of seawater as a function of its salinity. Accurate relationships between salinity and dielectric constant (which determines emissivity) are needed for sensor systems such as SMOS and Aquarius that will monitor salinity from space in the near future. The purpose of the new measurements is to establish the dependence of the dielectric constant of seawater on salinity in contemporary units (e.g. psu) and to take advantage of modern instrumentation to increase the accuracy of these measurements. The measurement device is a brass cylindrical cavity 16cm in diameter and 7cm in height. The seawater is introduced into the cavity through a slender glass tube having an inner diameter of 0.1 mm. By assuming that this small amount of seawater slightly perturbs the internal fields in the cavity, perturbation theory can be employed. A simple formula results relating the real part of the dielectric constant to the change in resonant frequency of the cavity. In a similar manner, the imaginary part of the dielectric constant is related to the change in the cavity s Q. The expected accuracy of the cavity technique is better than 1% for the real part and 1 to 2% for the imaginary part. Presently, measurements of methanol have been made and agree with precision measurements in the literature to within 1% in both real and imaginary parts. Measurements have been made of the dielectric constant of seawater samples from Ocean Scientific in the United Kingdom with salinities of 10, 30, 35 and 38 psu. All measurements were made at room temperature. Plans to make measurements at a range of temperatures and salinities will be discussed.
Takesaki, Natsumi; Kikuchi, Mitsuru; Yoshimura, Yuko; Hiraishi, Hirotoshi; Hasegawa, Chiaki; Kaneda, Reizo; Nakatani, Hideo; Takahashi, Tetsuya; Mottron, Laurent; Minabe, Yoshio
2016-01-01
Some individuals with autism spectrum (AS) perform better on visual reasoning tasks than would be predicted by their general cognitive performance. In individuals with AS, mechanisms in the brain’s visual area that underlie visual processing play a more prominent role in visual reasoning tasks than they do in normal individuals. In addition, increased connectivity with the visual area is thought to be one of the neural bases of autistic visual cognitive abilities. However, the contribution of such brain connectivity to visual cognitive abilities is not well understood, particularly in children. In this study, we investigated how functional connectivity between the visual areas and higher-order regions, which is reflected by alpha, beta and gamma band oscillations, contributes to the performance of visual reasoning tasks in typically developing (TD) (n = 18) children and AS children (n = 18). Brain activity was measured using a custom child-sized magneto-encephalograph. Imaginary coherence analysis was used as a proxy to estimate the functional connectivity between the occipital and other areas of the brain. Stronger connectivity from the occipital area, as evidenced by higher imaginary coherence in the gamma band, was associated with higher performance in the AS children only. We observed no significant correlation between the alpha or beta bands imaginary coherence and performance in the both groups. Alpha and beta bands reflect top-down pathways, while gamma band oscillations reflect a bottom-up influence. Therefore, our results suggest that visual reasoning in AS children is at least partially based on an enhanced reliance on visual perception and increased bottom-up connectivity from the visual areas. PMID:27631982
Scattering of antiplane shear waves by a circular cylinder in a traction-free plate
Wang; Ying; Li
2000-09-01
Following a well-established formula used by many researchers, the scattering of an anti-plane shear wave by an infinite elastic cylinder of arbitrary relative radius centered in a traction-free two-dimensional isotropic plate has been examined. The plate is divided into three regions by introducing two imaginary planes located symmetrically away from the surface of the cylinder and perpendicular to surfaces of the plate. The wave field is expanded into cylinder wave modes in the central bounded region containing the cylinder, while the fields in the other two outer regions are expanded into plate wave modes. A system of equations determining the expansion coefficients is obtained according to the traction-free boundary conditions on the plate walls and the stress and displacement continuity conditions across the imaginary planes. By taking an appropriate finite number of terms of the infinite expansion series and a few selected points on the two properly chosen virtual planes and the surfaces of the plate through convergence and precision tests, a matrix equation to numerically evaluate the expansion coefficients is found. The method of how to choose the locations of the imaginary planes and the terms of the expansion series as well as the points on each respective boundary is given in Sec. III in detail. Curves of the reflection and transmission coefficients against the relative radius of the cylinder in welded and slip or cracked interfacial conditions are shown. Analysis on the contrast variations of the reflection and transmission coefficients for a cylinder in bonded and debonded interfacial situations is made. The relative errors estimated by the deviation of the numerical results from the principle of the conservation of energy are found to be less than 2%.
Panacea or diagnosis? Imaginaries of innovation and the 'MIT model' in three political cultures.
Pfotenhauer, Sebastian; Jasanoff, Sheila
2017-12-01
Innovation studies continue to struggle with an apparent disconnect between innovation's supposedly universal dynamics and a sense that policy frameworks and associated instruments of innovation are often ineffectual or even harmful when transported across regions or countries. Using a cross-country comparative analysis of three implementations of the 'MIT model' of innovation in the UK, Portugal and Singapore, we show how key features in the design, implementation and performance of the model cannot be explained as mere variations on an identical solution to the same underlying problem. We draw on the concept of sociotechnical imaginaries to show how implementations of the 'same' innovation model - and with it the notion of 'innovation' itself - are co-produced with locally specific diagnoses of a societal deficiency and equally specific understandings of acceptable remedies. Our analysis thus flips the conventional notion of 'best-practice transfer' on its head: Instead of asking 'how well' an innovation model has been implemented, we analyze the differences among the three importations to reveal the idiosyncratic ways in which each country imagines the purpose of innovation. We replace the notion of innovation as a 'panacea' - a universal fix for all social woes - with that of innovation-as-diagnosis in which a particular 'cure' is 'prescribed' for a 'diagnosed' societal 'pathology,' which may in turn trigger 'reactions' within the receiving body. This approach offers new possibilities for theorizing how and where culture matters in innovation policy. It suggests that the 'successes' and 'failures' of innovation models are not a matter of how well societies are able to implement a sound, universal model, but more about how effectively they articulate their imaginaries of innovation and tailor their strategies accordingly.
Chen, Shun-Li; Fu, Li; Gan, Wei; Wang, Hong-Fei
2016-01-21
In this report, we show that the ability to measure the sub-1 cm(-1) resolution phase-resolved and intensity high-resolution broadband sum frequency generation vibrational spectra of the -CN stretch vibration of the Langmuir-Blodgett (LB) monolayer of the 4-n-octyl-4'-cyanobiphenyl (8CB) on the z-cut α-quartz surface allows the direct comparison and understanding of the homogeneous and inhomogeneous broadenings in the imaginary and intensity SFG vibrational spectral line shapes in detail. The difference of the full width at half maximum (FWHM) of the imaginary and intensity sum-frequency generation vibrational spectroscopy spectra of the same vibrational mode is the signature of the Voigt line shape and it measures the relative contribution to the overall line shape from the homogeneous and inhomogeneous broadenings in SFG vibrational spectra. From the phase-resolved and intensity spectra, we found that the FWHM of the 2238.00 ± 0.02 cm(-1) peak in the phase-resolved imaginary and intensity spectra is 19.2 ± 0.2 cm(-1) and 21.6 ± 0.4 cm(-1), respectively, for the -CN group of the 8CB LB monolayer on the z-cut α-quartz crystal surface. The FWHM width difference of 2.4 cm(-1) agrees quantitatively with a Voigt line shape with a homogeneous broadening half width of Γ = 5.29 ± 0.08 cm(-1) and an inhomogeneous standard derivation width Δω = 5.42 ± 0.07 cm(-1). These results shed new lights on the understanding and interpretation of the line shapes of both the phase-resolved and the intensity SFG vibrational spectra, as well as other incoherent and coherent spectroscopic techniques in general.
Nondestructive In Situ Measurement Method for Kernel Moisture Content in Corn Ear.
Zhang, Han-Lin; Ma, Qin; Fan, Li-Feng; Zhao, Peng-Fei; Wang, Jian-Xu; Zhang, Xiao-Dong; Zhu, De-Hai; Huang, Lan; Zhao, Dong-Jie; Wang, Zhong-Yi
2016-12-20
Moisture content is an important factor in corn breeding and cultivation. A corn breed with low moisture at harvest is beneficial for mechanical operations, reduces drying and storage costs after harvesting and, thus, reduces energy consumption. Nondestructive measurement of kernel moisture in an intact corn ear allows us to select corn varieties with seeds that have high dehydration speeds in the mature period. We designed a sensor using a ring electrode pair for nondestructive measurement of the kernel moisture in a corn ear based on a high-frequency detection circuit. Through experiments using the effective scope of the electrodes' electric field, we confirmed that the moisture in the corn cob has little effect on corn kernel moisture measurement. Before the sensor was applied in practice, we investigated temperature and conductivity effects on the output impedance. Results showed that the temperature was linearly related to the output impedance (both real and imaginary parts) of the measurement electrodes and the detection circuit's output voltage. However, the conductivity has a non-monotonic dependence on the output impedance (both real and imaginary parts) of the measurement electrodes and the output voltage of the high-frequency detection circuit. Therefore, we reduced the effect of conductivity on the measurement results through measurement frequency selection. Corn moisture measurement results showed a quadric regression between corn ear moisture and the imaginary part of the output impedance, and there is also a quadric regression between corn kernel moisture and the high-frequency detection circuit output voltage at 100 MHz. In this study, two corn breeds were measured using our sensor and gave R ² values for the quadric regression equation of 0.7853 and 0.8496.
DOE Office of Scientific and Technical Information (OSTI.GOV)
Mikhailenko, V. V., E-mail: vladimir@pusan.ac.kr; Mikhailenko, V. S.; Faculty of Transportation Systems, Kharkiv National Automobile and Highway University, 61002 Kharkiv
2014-07-15
The cross-magnetic-field (i.e., perpendicular) profile of ion temperature and the perpendicular profile of the magnetic-field-aligned (parallel) plasma flow are sometimes inhomogeneous for space and laboratory plasma. Instability caused either by a gradient in the ion-temperature profile or by shear in the parallel flow has been discussed extensively in the literature. In this paper, (1) hydrodynamic plasma stability is investigated, (2) real and imaginary frequency are quantified over a range of the shear parameter, the normalized wavenumber, and the ratio of density-gradient and ion-temperature-gradient scale lengths, and (3) the role of inverse Landau damping is illustrated for the case of combinedmore » ion-temperature gradient and parallel-flow shear. We find that increasing the ion-temperature gradient reduces the instability threshold for the hydrodynamic parallel-flow shear instability, also known as the parallel Kelvin-Helmholtz instability or the D'Angelo instability. We also find that a kinetic instability arises from the coupled, reinforcing action of both free-energy sources. For the case of comparable electron and ion temperature, we illustrate analytically the transition of the D'Angelo instability to the kinetic instability as (a) the shear parameter, (b) the normalized wavenumber, and (c) the ratio of density-gradient and ion-temperature-gradient scale lengths are varied and we attribute the changes in stability to changes in the amount of inverse ion Landau damping. We show that near a normalized wavenumber k{sub ⊥}ρ{sub i} of order unity (i) the real and imaginary values of frequency become comparable and (ii) the imaginary frequency, i.e., the growth rate, peaks.« less
Dynamical Behaviors in Complex-Valued Love Model With or Without Time Delays
NASA Astrophysics Data System (ADS)
Deng, Wei; Liao, Xiaofeng; Dong, Tao
2017-12-01
In this paper, a novel version of nonlinear model, i.e. a complex-valued love model with two time delays between two individuals in a love affair, has been proposed. A notable feature in this model is that we separate the emotion of one individual into real and imaginary parts to represent the variation and complexity of psychophysiological emotion in romantic relationship instead of just real domain, and make our model much closer to reality. This is because love is a complicated cognitive and social phenomenon, full of complexity, diversity and unpredictability, which refers to the coexistence of different aspects of feelings, states and attitudes ranging from joy and trust to sadness and disgust. By analyzing associated characteristic equation of linearized equations for our model, it is found that the Hopf bifurcation occurs when the sum of time delays passes through a sequence of critical value. Stability of bifurcating cyclic love dynamics is also derived by applying the normal form theory and the center manifold theorem. In addition, it is also shown that, for some appropriate chosen parameters, chaotic behaviors can appear even without time delay.
"Queering" and Querying Academic Identities in Postgraduate Education
ERIC Educational Resources Information Center
Maritz, Jeanette; Prinsloo, Paul
2015-01-01
In the social imaginary of higher education, there are many mutually constitutive forces shaping academic identities, such as academics' habitus, dispositions, race, gender and student expectations. Our queer academic identities are furthermore robustly intertwined with, and emerging within, cultural, political and economic histories and…
Educational Commons and the New Radical Democratic Imaginary
ERIC Educational Resources Information Center
Means, Alexander J.
2014-01-01
This article reflects on emergent (radical-progressive) languages of democracy to consider what common educational institutions might mean today. It explores distinct philosophical and political tensions that cut across these languages in relation to educational organization and pedagogy including--antagonism versus exodus, transcendence versus…
47 CFR 15.31 - Measurement standards.
Code of Federal Regulations, 2014 CFR
2014-10-01
..., such as perimeter protection systems, carrier current systems, and systems employing a “leaky” coaxial cable as an antenna, measurements for verification or for obtaining a grant of equipment authorization... interconnecting cables as determined by the boundary defined by an imaginary straight line periphery describing a...
ERIC Educational Resources Information Center
Mayo, Jeanne Pilgrim
2000-01-01
Suggests activities for library media specialists or teachers that use food to encourage students to interact with literature. Includes researching recipes or food items that appear in the book, incorporating Internet searching skills if desired; planning meals, either real or imaginary; edible art projects, including fortune cookies; and creating…
Child Development and Counseling.
ERIC Educational Resources Information Center
Elkind, David
1980-01-01
Outlines three constructs, the assumptive reality of childhood and the imaginary audience and personal fable of adolescence, which help explain normal and problem behavior. Counselors are asked to accept the young person's view of reality as valid and help him/her distinguish between personal and social reality. (Author)
Preference Versus Prejudice: A Multimethod Analysis of Children's Discrepant Racial Choices
ERIC Educational Resources Information Center
Teplin, Linda A.
1977-01-01
A study compared 398 children's racial preferences in an imaginary setting with their responses in a more reality-oriented situation. Discrepant responses to the two measurements indicate that racial/ethnic preferences in imagination are neither indicative nor predictive of prejudicial behavior. (Author)
ERIC Educational Resources Information Center
Landy, David; Silbert, Noah; Goldin, Aleah
2013-01-01
Despite their importance in public discourse, numbers in the range of 1 million to 1 trillion are notoriously difficult to understand. We examine magnitude estimation by adult Americans when placing large numbers on a number line and when qualitatively evaluating descriptions of imaginary geopolitical scenarios. Prior theoretical conceptions…
ERIC Educational Resources Information Center
Zingher, Gary
2000-01-01
Presents short descriptions of six "curious places" in children's books and films. Describes sample creative class activities for younger and middle grade children to engage in after listening to selected stories. Activities include creating drawings, stories, flip books, and picture books; role-playing; and developing an imaginary town.…
Meier, Monika
2007-01-01
The German writerJean Paul (Johann Paul Friedrich Richter, 1763-1825) and his friendJohann Bernhard Hermann (1761-1790) became acquainted with the thoughts of late Enlightenment at the University of Leipzig. They particularly appreciated the anthropology of Ernst Platner, who taught philosophy and aesthetics as well as medicine. Their confidential correspondence contains reflections on their respective situation and well being. Both write about feeling ill and label their illness "hypochondria". In the course of the correspondence Jean Paul's understanding of hypochondria evolves from an illness of the entrails as he follows Hermann, who supports the modern concept of hypochondria as an illness of the nerves. Two important themes from this correspondence recur in Jean Paul's novels and tales: firstly, his way of expressing comfort is related to his aesthetics, and secondly, the satirical way of portraying at least certain aspects of illness as imaginary reappears in his first successful novel "The Invisible Lodge" (1793).
Bifurcating fronts for the Taylor-Couette problem in infinite cylinders
NASA Astrophysics Data System (ADS)
Hărăguş-Courcelle, M.; Schneider, G.
We show the existence of bifurcating fronts for the weakly unstable Taylor-Couette problem in an infinite cylinder. These fronts connect a stationary bifurcating pattern, here the Taylor vortices, with the trivial ground state, here the Couette flow. In order to show the existence result we improve a method which was already used in establishing the existence of bifurcating fronts for the Swift-Hohenberg equation by Collet and Eckmann, 1986, and by Eckmann and Wayne, 1991. The existence proof is based on spatial dynamics and center manifold theory. One of the difficulties in applying center manifold theory comes from an infinite number of eigenvalues on the imaginary axis for vanishing bifurcation parameter. But nevertheless, a finite dimensional reduction is possible, since the eigenvalues leave the imaginary axis with different velocities, if the bifurcation parameter is increased. In contrast to previous work we have to use normalform methods and a non-standard cut-off function to obtain a center manifold which is large enough to contain the bifurcating fronts.
Nanotechnology Infrared Optics for Astronomy Missions
NASA Technical Reports Server (NTRS)
Frogel, Jay (Technical Monitor); Smith, Howard A.
2004-01-01
We have used the "MicroStripes" code (Flomerics, Inc.) to perform full-, near- and far-field diffraction modeling of metal mesh performance on substrates. Our Miles Code software, which approximates the full calculation in a quick, gui-based window, is useful as an iterative device by adjusting the input parameters (index of refraction, thickness, etc.) to provide agreement with the full calculation. However, despite the somewhat extravagant claims by the MicroStripes manufacturer, this code is also not perfect because numerous free parameters must be set. Key among these, as identified in our earlier papers and proposal documents, is the high frequency (i.e., far IR) character of the real and imaginary parts of the index of refraction of the metal mesh, the high frequency character of the real and imaginary parts of the index of refraction of the substrate, and the character of the interface between the mesh and the substrate material, and in particular the suppression (or possible enhancement) of surface effects at the interface.
Numerical simulation of the processes in the normal incidence tube for high acoustic pressure levels
NASA Astrophysics Data System (ADS)
Fedotov, E. S.; Khramtsov, I. V.; Kustov, O. Yu.
2016-10-01
Numerical simulation of the acoustic processes in an impedance tube at high levels of acoustic pressure is a way to solve a problem of noise suppressing by liners. These studies used liner specimen that is one cylindrical Helmholtz resonator. The evaluation of the real and imaginary parts of the liner acoustic impedance and sound absorption coefficient was performed for sound pressure levels of 130, 140 and 150 dB. The numerical simulation used experimental data having been obtained on the impedance tube with normal incidence waves. At the first stage of the numerical simulation it was used the linearized Navier-Stokes equations, which describe well the imaginary part of the liner impedance whatever the sound pressure level. These equations were solved by finite element method in COMSOL Multiphysics program in axisymmetric formulation. At the second stage, the complete Navier-Stokes equations were solved by direct numerical simulation in ANSYS CFX in axisymmetric formulation. As the result, the acceptable agreement between numerical simulation and experiment was obtained.
NASA Astrophysics Data System (ADS)
Tippins, Deborah J.; Hammond, Lorie; Hutchison, Charles B.
2006-12-01
International high school science teachers are crossing international and cultural borders to teach, raising important issues in education. In this article, we describe the cross-cultural assessment challenges that four international science teachers encountered when they migrated to teach in the United States. These included differences in grade expectations for a given quality of work, the weight given to final examinations, the assessment process, and cutoff scores for letter grades. To become proficient in their new teaching contexts, the participating teachers had to modify (or hybridize) their assessment philosophies and practices in order to conform to the expectations of their new schools. This hybridization process ushered them into what is proposed as the Pedagogical imaginary; a transitional space between the ``purity'' of their native educational conventions and that of their American schools. The implications of these findings are discussed in hopes of improving high school science teaching experiences for international science teachers.
Felipe, Ingryd Cunha Ventura; Gomes, Antonio Marcos Tosoli
2010-01-01
Alcohol consumption is considered a global problem, principally affecting adolescents. In this context, the aims of this study were to identify the pedagogical strategies developed by elementary school teachers in the approach to alcohol with adolescents; To analyze the attitudes, beliefs, values and practices of the elementary school teachers in relation to alcohol; To discuss the repercussions of the attitudes, beliefs, values and practices of the teachers about alcohol in the dialogue with the students and in the implementation of the strategies referred to above. This was a qualitative study performed with 26 teachers of a Rio de Janeiro public school. The data were analyzed through thematic content analysis and grouped into 5 categories. It was concluded that social imaginary and attitudinal construction of the teachers directly interferes with the personal and professional practice and has repercussions in the quotidian life of the students. It was noted that the focus should not just be on the students, but on the relationship of the teachers with their pedagogic strategies.
Dielectric function of a model insulator
NASA Astrophysics Data System (ADS)
Rezvani, G. A.; Friauf, Robert J.
1993-04-01
We have calculated a dielectric response function ɛ(q,ω) using the random-phase approximation for a model insulator originally proposed by Fry [Phys. Rev. 179, 892 (1969)]. We treat narrow and wide band-gap insulators for the purpose of using results in the simulation of secondary-electron emission from insulators. Therefore, it is important to take into account the contribution of the first and second conduction bands. For the real part of the dielectric function we perform a numerical principal value integration over the first and second Brillouin zone. For the imaginary part we perform a numerical integration involving the δ function that results from the conservation of energy. In order to check the validity of our numerical integration methods we perform a Kramers-Kronig transform of the real part and compare it with the directly calculated imaginary part and vice versa. We discuss fitting the model to the static dielectric constant and the f-sum rule. Then we display the wave number and frequency dependence for solid argon, KCl, and model Si.
Proper temperature of the Schwarzschild AdS black hole revisited
NASA Astrophysics Data System (ADS)
Eune, Myungseok; Kim, Wontae
2017-10-01
The Unruh temperature calculated by using the global embedding of the Schwarzschild AdS spacetime into the Minkowski spacetime was identified with the local proper temperature; however, it became imaginary in a certain region outside the event horizon. So, the temperature was assumed to be zero of non-thermal radiation for that region. In this work, we revisit this issue in an exactly soluble two-dimensional Schwarzschild AdS black hole and present an alternative resolution to this problem in terms of the Tolman's procedure. However, the process appears to be non-trivial in the sense that the original procedure assuming the traceless energy-momentum tensor should be extended in such a way that it should cover the non-vanishing case of the energy-momentum tensor in the presence of the trace anomaly. Consequently, we show that the proper temperature turns out to be real everywhere outside the event horizon without any imaginary value, in particular, it vanishes at both the horizon and the asymptotic infinity.
Diffusion constant of slowly rotating black three-brane
NASA Astrophysics Data System (ADS)
Amoozad, Z.; Sadeghi, J.
2018-01-01
In this paper, we take the slowly rotating black three-brane background and perturb it by introducing a vector gauge field. We find the components of the gauge field through Maxwell equations and Bianchi identities. Using currents and some ansatz we find Fick's first law at long wavelength regime. An interesting result for this non-trivial supergravity background is that the diffusion constant on the stretched horizon which emerges from Fick's first law is a complex constant. The pure imaginary part of the diffusion constant appears because the black three-brane has angular momentum. By taking the static limit of the corresponding black brane the well known diffusion constant will be recovered. On the other hand, from the point of view of the Fick's second law, we have the dispersion relation ω = - iDq2 and we found a damping of hydrodynamical flow in the holographically dual theory. Existence of imaginary term in the diffusion constant introduces an oscillating propagation of the gauge field in the dual field theory.
NASA Astrophysics Data System (ADS)
Fischer, M.; Groote, S.; Körner, J. G.
2018-05-01
We identify the T -odd structure functions that appear in the description of polarized top quark decays in the sequential decay t (↑)→Xb+W+(→ℓ++νℓ) (two structure functions) and the quasi-three-body decay t (↑)→X b+ℓ++νℓ (one structure function). A convenient measure of the magnitude of the T -odd structure functions is the contribution of the imaginary part Im gR of the right-chiral tensor coupling gR to the T -odd structure functions which we work out. Contrary to the case of QCD, the NLO electroweak corrections to polarized top quark decays admit absorptive one-loop vertex contributions. We analytically calculate the imaginary parts of the relevant four electroweak one-loop triangle vertex diagrams and determine their contributions to the T -odd helicity structure functions that appear in the description of polarized top quark decays.
Human annoyance and reactions to hotel room specific noises
NASA Astrophysics Data System (ADS)
Everhard, Ian L.
2004-05-01
A new formula is presented where multiple annoyance sources and transmission loss values of any partition are combined to produce a new single number rating of annoyance. The explanation of the formula is based on theoretical psychoacoustics and survey testing used to create variables used to weight the results. An imaginary hotel room is processed through the new formula and is rated based on theoretical survey results that would be taken by guests of the hotel. The new single number rating compares the multiple sources of annoyance to a single imaginary unbiased source where absolute level is the only factor in stimulating a linear rise in annoyance [Fidell et al., J. Acoust. Soc. Am. 66, 1427 (1979); D. M. Jones and D. E. Broadbent, ``Human performance and noise,'' in Handbook of Noise Control, 3rd ed., edited by C. M. Harris (ASA, New York, 1998), Chap. 24; J. P. Conroy and J. S. Roland, ``STC Field Testing and Results,'' in Sound and Vibration Magazine, Acoustical Publications, pp. 10-15 (July 2003)].
NASA Astrophysics Data System (ADS)
Balaram Atram, Dattatraya
2011-01-01
Fleming's right-hand rule and the right-flat-hand rule are generally applied for determining the direction of flow of induced emf/current in straight conductors. The right-hand-fingers rule is applied for coils only. The right-hand-thumb rule can be applied for either straight conductors or coils. Different rules have to be applied for different situations. Also, a formula for determining the direction of induced emf/current does not exist on the basis of these rules. In this article, based on Faraday's law of electromagnetic induction and Lenz's law, an 'imaginary closed circuit method' and a formula for determination of direction of induced emf/current has been proposed. The method is universal in the sense that it is applicable for conductors of any shape, for any kind of relative motion of the conductor with respect to the magnetic flux, and moreover it is applicable for the case of varying magnetic flux.
Thermal magnetic noise in a strip wound crystalline ferromagnetic core at 4.2 K
NASA Astrophysics Data System (ADS)
Snigirev, O. V.; Maslennikov, Yu. V.; Vitale, S.; Cerdonio, M.; Prodi, G. A.
1996-01-01
A dc SQUID magnetometer-based system has been developed and used to measure, in the frequency range 50-2300 Hz, the complex magnetic permeability μr(ν) and the magnetization noise at 4.2 K in a strip wound toroid. This toroidal core has been made of the 3-μm-thick ribbon fabricated from a crystalline magnetically soft alloy, Ultraperm. Below 1 kHz a constant value of -arg[μr(ν)]≊2×10-3 and 1/ν shaped noise spectral density have been measured. For frequencies higher than 1 kHz a linear growth of the imaginary part μr and a white noise have been found. The noise due to the sample is found in quantitative agreement with the standard fluctuation-dissipation formula for the thermal noise, while a comparison of the permeability imaginary part magnitude with the theoretical value has indicated a partially shorted windings in the toroid, which have decreased the toroid roll-off frequency down to 1 MHz.
How do pre-adolescent children interpret conditionals?
Markovits, Henry; Brisson, Janie; de Chantal, Pier-Luc
2016-12-01
Studies examining children's basic understanding of conditionals have led to very different conclusions. On the one hand, conditional inference tasks suggest that young children are able to interpret familiar conditionals in a complex manner. In contrast, truth-table tasks suggest that before adolescence, children have limited (conjunctive) representations of conditionals. We hypothesized that the latter results are due to use of what are essentially arbitrary conditionals. To examine this, we gave a truth-table task using two kinds of conditional rules, Arbitrary and Imaginary categorical rules (If an animal is a bori, then it has red wings) to 9- and 12-year-olds. Results with the Arbitrary rules were consistent with those found in previous studies, with the most frequent interpretation being the Conjunctive one. However, among even the youngest children, the most frequent interpretation of the Imaginary categorical rules was the defective conditional, which is only found with much older adolescents with Arbitrary rules. These results suggest that working memory limitations are not an important developmental factor in how young children interpret conditional rules.
Günaydin, Murat; Lüst, Dieter; Malek, Emanuel
2016-11-07
We propose a non-associative phase space algebra for M-theory backgrounds with locally non-geometric fluxes based on the non-associative algebra of octonions. Our proposal is based on the observation that the non-associative algebra of the non-geometric R-flux background in string theory can be obtained by a proper contraction of the simple Malcev algebra generated by imaginary octonions. Furthermore, by studying a toy model of a four-dimensional locally non-geometric M-theory background which is dual to a twisted torus, we show that the non-geometric background is “missing” a momentum mode. The resulting seven-dimensional phase space can thus be naturally identified with the imaginarymore » octonions. This allows us to interpret the full uncontracted algebra of imaginary octonions as the uplift of the string theory R-flux algebra to M-theory, with the contraction parameter playing the role of the string coupling constant g s.« less
Plasma Parameters From Reentry Signal Attenuation
Statom, T. K.
2018-02-27
This study presents the application of a theoretically developed method that provides plasma parameter solution space information from measured RF attenuation that occurs during reentry. The purpose is to provide reentry plasma parameter information from the communication signal attenuation. The theoretical development centers around the attenuation and the complex index of refraction. The methodology uses an imaginary index of the refraction matching algorithm with a tolerance to find suitable solutions that satisfy the theory. The imaginary matching terms are then used to determine the real index of refraction resulting in the complex index of refraction. Then a filter is usedmore » to reject nonphysical solutions. Signal attenuation-based plasma parameter properties investigated include the complex index of refraction, plasma frequency, electron density, collision frequency, propagation constant, attenuation constant, phase constant, complex plasma conductivity, and electron mobility. RF plasma thickness attenuation is investigated and compared to the literature. Finally, similar plasma thickness for a specific signal attenuation can have different plasma properties.« less
DOE Office of Scientific and Technical Information (OSTI.GOV)
Günaydin, Murat; Lüst, Dieter; Malek, Emanuel
We propose a non-associative phase space algebra for M-theory backgrounds with locally non-geometric fluxes based on the non-associative algebra of octonions. Our proposal is based on the observation that the non-associative algebra of the non-geometric R-flux background in string theory can be obtained by a proper contraction of the simple Malcev algebra generated by imaginary octonions. Furthermore, by studying a toy model of a four-dimensional locally non-geometric M-theory background which is dual to a twisted torus, we show that the non-geometric background is “missing” a momentum mode. The resulting seven-dimensional phase space can thus be naturally identified with the imaginarymore » octonions. This allows us to interpret the full uncontracted algebra of imaginary octonions as the uplift of the string theory R-flux algebra to M-theory, with the contraction parameter playing the role of the string coupling constant g s.« less
Nonperturbative Quantum Physics from Low-Order Perturbation Theory.
Mera, Héctor; Pedersen, Thomas G; Nikolić, Branislav K
2015-10-02
The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization probability by tunneling processes. Accordingly, the perturbed ground-state energy is shifted and broadened, thus acquiring an imaginary part which is considered to be a paradigm of nonperturbative behavior. Here we demonstrate how the low order coefficients of a divergent perturbation series can be used to obtain excellent approximations to both real and imaginary parts of the perturbed ground state eigenenergy. The key is to use analytic continuation functions with a built-in singularity structure within the complex plane of the coupling constant, which is tailored by means of Bender-Wu dispersion relations. In the examples discussed the analytic continuation functions are Gauss hypergeometric functions, which take as input fourth order perturbation theory and return excellent approximations to the complex perturbed eigenvalue. These functions are Borel consistent and dramatically outperform widely used Padé and Borel-Padé approaches, even for rather large values of the coupling constant.
Li, Jingwen; Qu, Hang; Skorobogatiy, Maksim
2015-09-07
We demonstrate simultaneous monitoring of the real and imaginary parts of the liquid analyte refractive index by using a hollow-core Bragg fiber. We apply this two-channel fiber sensor to monitor concentrations of various commercial cooling oils. The sensor operates using spectral monitoring of the fiber bandgap center wavelength, as well as monitoring of the fiber transmission amplitude at mid-bandgap position. The sensitivity of the fiber sensor to changes in the real part of the core refractive index is found to be 1460nm/Refractive index unit (RIU). By using spectral modality and effective medium theory, we determine the concentrations of the two commercial fluids from the measured refractive indices with an accuracy of ~0.57% for both low- and high-loss oils. Moreover, using an amplitude-based detection modality allows determination of the oil concentration with accuracy of ~1.64% for low-loss oils and ~2.81% for the high-loss oils.
Accessing the Elastic Form-Factors of the $Delta(1232)$ Using the Beam-Normal Asymmetry
DOE Office of Scientific and Technical Information (OSTI.GOV)
Dalton, Mark M.
2016-08-01
The beam-normal single-spin asymmetry,more » $$B_n$$, exists in the scattering of high energy electrons, polarized transverse to their direction of motion, from nuclear targets. To first order, this asymmetry is caused by the interference of the one-photon exchange amplitude with the imaginary part of the two-photon exchange amplitude. Measurements of $$B_n$$, for the production of a $$\\Delta(1232)$$ resonance from a proton target, will soon become available from the Qweak experiment at Jefferson Lab and the A4 experiment at Mainz. The imaginary part of two-photon exchange allows only intermediate states that are on-shell, including the $$\\Delta$$ itself. Therefore such data is sensitive to $$\\gamma\\Delta\\Delta$$, the elastic form-factors of the $$\\Delta$$. This article will introduce the form-factors of the $$\\Delta$$, discuss what might be learned about the elastic form-factors from these new data, describe ongoing efforts in calculation and measurement, and outline the possibility of future measurements.« less
Plasma Parameters From Reentry Signal Attenuation
DOE Office of Scientific and Technical Information (OSTI.GOV)
Statom, T. K.
This study presents the application of a theoretically developed method that provides plasma parameter solution space information from measured RF attenuation that occurs during reentry. The purpose is to provide reentry plasma parameter information from the communication signal attenuation. The theoretical development centers around the attenuation and the complex index of refraction. The methodology uses an imaginary index of the refraction matching algorithm with a tolerance to find suitable solutions that satisfy the theory. The imaginary matching terms are then used to determine the real index of refraction resulting in the complex index of refraction. Then a filter is usedmore » to reject nonphysical solutions. Signal attenuation-based plasma parameter properties investigated include the complex index of refraction, plasma frequency, electron density, collision frequency, propagation constant, attenuation constant, phase constant, complex plasma conductivity, and electron mobility. RF plasma thickness attenuation is investigated and compared to the literature. Finally, similar plasma thickness for a specific signal attenuation can have different plasma properties.« less
NASA Astrophysics Data System (ADS)
Saengow, Chaimongkol; Giacomin, A. Jeffrey
2018-03-01
In this paper, we provide a new exact framework for analyzing the most commonly measured behaviors in large-amplitude oscillatory shear flow (LAOS), a popular flow for studying the nonlinear physics of complex fluids. Specifically, the strain rate sweep (also called the strain sweep) is used routinely to identify the onset of nonlinearity. By the strain rate sweep, we mean a sequence of LAOS experiments conducted at the same frequency, performed one after another, with increasing shear rate amplitude. In this paper, we give exact expressions for the nonlinear complex viscosity and the corresponding nonlinear complex normal stress coefficients, for the Oldroyd 8-constant framework for oscillatory shear sweeps. We choose the Oldroyd 8-constant framework for its rich diversity of popular special cases (we list 18 of these). We evaluate the Fourier integrals of our previous exact solution to get exact expressions for the real and imaginary parts of the complex viscosity, and for the complex normal stress coefficients, as functions of both test frequency and shear rate amplitude. We explore the role of infinite shear rate viscosity on strain rate sweep responses for the special case of the corotational Jeffreys fluid. We find that raising η∞ raises the real part of the complex viscosity and lowers the imaginary. In our worked examples, we thus first use the corotational Jeffreys fluid, and then, for greater accuracy, we use the Johnson-Segalman fluid, to describe the strain rate sweep response of molten atactic polystyrene. For our comparisons with data, we use the Spriggs relations to generalize the Oldroyd 8-constant framework to multimode. Our generalization yields unequivocally, a longest fluid relaxation time, used to assign Weissenberg and Deborah numbers to each oscillatory shear flow experiment. We then locate each experiment in the Pipkin space.
NASA Astrophysics Data System (ADS)
Barada, Daisuke; Yatagai, Toyohiko
2016-09-01
Holographic memory is expected for cold storage because of the features of huge data capacity, high data transfer rate, and long life time. In holographic memory, a signal beam is modulated by a spatial light modulator according to data pages. The recording density is dependent on information amount per pixel in a data page. However, a binary spatial light modulator is used to realize high data transfer rate in general. In our previous study, an optical conversion method from binary data to multilevel data has been proposed. In this paper, the principle of the method is experimentally verified. In the proposed method, a data page consists of symbols with 2x2 pixels and a four-step phase mask is used. Then, the complex amplitudes of four pixels in a symbol become positive real, positive imaginary, negative real, and negative imaginary values, respectively. A square pixel pattern is spread by spatial frequency filtering with a square aperture in a Fourier plane. When the aperture size is too small, the complex amplitude of four pixels in a symbol is superposed and a symbol is regarded as a pixel with a complex number. In this work, a data page pattern with a four-step phase pattern was generated by using a computer-generated circular polarization hologram (CGCPH). The CGCPH was prepared by electron beam lithography. The page data pattern is Fourier transformed by a lens and spatially filtered by a variable rectangular aperture. The complex amplitude of the spatial filtered data page pattern was measured by digital holography and the principle was experimentally verified.
NASA Astrophysics Data System (ADS)
Zhou, Bing; Greenhalgh, S. A.
2011-01-01
We present an extension of the 3-D spectral element method (SEM), called the Gaussian quadrature grid (GQG) approach, to simulate in the frequency-domain seismic waves in 3-D heterogeneous anisotropic media involving a complex free-surface topography and/or sub-surface geometry. It differs from the conventional SEM in two ways. The first is the replacement of the hexahedral element mesh with 3-D Gaussian quadrature abscissae to directly sample the physical properties or model parameters. This gives a point-gridded model which more exactly and easily matches the free-surface topography and/or any sub-surface interfaces. It does not require that the topography be highly smooth, a condition required in the curved finite difference method and the spectral method. The second is the derivation of a complex-valued elastic tensor expression for the perfectly matched layer (PML) model parameters for a general anisotropic medium, whose imaginary parts are determined by the PML formulation rather than having to choose a specific class of viscoelastic material. Furthermore, the new formulation is much simpler than the time-domain-oriented PML implementation. The specified imaginary parts of the density and elastic moduli are valid for arbitrary anisotropic media. We give two numerical solutions in full-space homogeneous, isotropic and anisotropic media, respectively, and compare them with the analytical solutions, as well as show the excellent effectiveness of the PML model parameters. In addition, we perform numerical simulations for 3-D seismic waves in a heterogeneous, anisotropic model incorporating a free-surface ridge topography and validate the results against the 2.5-D modelling solution, and demonstrate the capability of the approach to handle realistic situations.
Adolescent Egocentrism in a Learning Context
ERIC Educational Resources Information Center
Bester, G.
2013-01-01
Imaginary audience, personal fable, and over-estimation of responsibilities are typical characteristics of egocentric behaviour during adolescence. The aim of the research was to establish how these egocentric characteristics manifest themselves in a learning context. An empirical investigation was carried out involving 316 learners from Grade 8…
Imagination and the Globalisation of Educational Policy Research
ERIC Educational Resources Information Center
Rizvi, Fazal
2006-01-01
A number of theorists, including Charles Taylor, Arjun Appadurai and Dilip Gaonkar all associated with the University of Chicago based journal, "Public Culture," have developed the idea of social imaginary. Their notion of imagination departs significantly from traditional philosophical and sociological analyses that view imagination as an…
Building Community in Cross Cultural Work Environments.
ERIC Educational Resources Information Center
Carter, Margie
1996-01-01
Discusses strategies to enhance cultural sensitivity in teachers serving families from different cultures: (1) examine elements of culture and stereotyping through stories and posters; (2) create an imaginary community to enhance sensitivity and team building; (3) examine influences on one's preferred child care practices; and (4) identify…
Developing Computational Thinking through Grounded Embodied Cognition
ERIC Educational Resources Information Center
Fadjo, Cameron Lawrence
2012-01-01
Two studies were conducted to examine the use of grounded embodied pedagogy, construction of Imaginary Worlds (Study 1), and context of instructional materials (Study 2) for developing learners' Computational Thinking (CT) Skills and Concept knowledge during the construction of digital artifacts using Scratch, a block-based programming…
Communicate in Russian--Part 2: 7543.04.
ERIC Educational Resources Information Center
Dade County Public Schools, Miami, FL.
This second volume of a three-part series intended to follow the Quinmester course "Survive a Russian Party" prescribes broad goals and performance objectives for the development of listening, reading, speaking, and writing skills. Cultural objectives and desirable student attitudes are suggested. Students take an imaginary flight to…
DOE Office of Scientific and Technical Information (OSTI.GOV)
Venediktov, V Yu
2015-04-30
This methodological note is dedicated to the analysis of the imaginary experiment proposed in the paper by R.I. Khrapko 'On the possibility of an experiment on 'nonlocality' of electrodynamics' [Quantum Electronics, 42, 1133 (2012)]. (discussion)
ERIC Educational Resources Information Center
Clarke, Jacqueline
2001-01-01
Offers several activities for celebrating Winnie-the-Pooh's birthday, including: reading Pooh stories and inventing a Pooh trivia game; creating a spot for thinking and reflecting; writing poems; using Pooh's expedition to the North Pole as inspiration for an imaginary class trip; dividing into groups and describing individual Pooh characters; and…
ERIC Educational Resources Information Center
Kuharic, Pam
2010-01-01
This article describes an art project that allows students to create a joint community on paper. Through this project, students create imaginary villages by looking first at various architectural styles and then look at the different ways contemporary artists portray communities or architecture focusing on village scenes. The inspiration for this…
Linear quadratic regulators with eigenvalue placement in a horizontal strip
NASA Technical Reports Server (NTRS)
Shieh, Leang S.; Dib, Hani M.; Ganesan, Sekar
1987-01-01
A method for optimally shifting the imaginary parts of the open-loop poles of a multivariable control system to the desirable closed-loop locations is presented. The optimal solution with respect to a quadratic performance index is obtained by solving a linear matrix Liapunov equation.
ERIC Educational Resources Information Center
Eimer, Timothy
1992-01-01
Presents a class activity "Microscopic Mission" where students make an imaginary journey through a living cell searching for defective DNA responsible for cancer. Nine aspects of the adventure are described. Students try to determine from the description where they are in the cell. This activity can be used for review or evaluation. (PR)
Tutored-Untutored Dramatic Play: Similarities and Differences.
ERIC Educational Resources Information Center
Mellou, Eleni
1994-01-01
Untutored dramatic play (free, undirected play) and tutored dramatic play (creative drama) involve interaction, symbolic transformation, and imagination as children enact roles in imaginary situations. Both types of play serve the child's artistic, emotional, and intellectual needs. They differ in the degree of spontaneity, consistency of play,…