The recent appearance of nonlocal methods is examined in the light of traditional continuum mechanics. A comparison of nonlocal approaches in the fields of solid and fluid mechanics reveals that no consistent definition of a nonlocal theory has been used....

... Abstract : A theory of nonlocal elasticity based on the global balance laws and the second law of thermodynamics is presented. ...

... Also, the theory of nonlocal thermoelasticity is reconsidered in the light of recent developments in thermodynamics, taking invariance conditions ...

Possible nonlocal effects in the theory of Fermi interactions are studied phenomenologically. Under

... Accession Number : ADA278283. Title : Nonlocal Theory for Fracturing of Quasibrittle Materials. Descriptive Note : Final rept.,. ...

It is shown that the conservation laws of nonlocal continuum mechanics are equivalent to, and can be derived from, the conservation of energy and the invariance conditions under superposed rigid body motions. Also, the theory of nonlocal thermoelasticity ...

The introduction of potential symmetries, that is special nonlocal symmetries by Bliman, Reid and Kumei, is discussed. The concept of a nonlocal symmetry is aesthetically justified by the theory of coverings. The basic idea is that solutions of the coveri...

... distributions of dislocations. Celebrated Peach-Koehler formula is modified to include nonlocal Green's functions. The stress ...

This research is concerned with fundamentals of modeling nano-composites. The study contains two major parts, namely, numerical modeling of nanocomposites and nonlocal theory based approach for predicting behavior of Carbon Nanotubes (CNTs). Computational modeling of glass (silica) fibers having micro-scale outer dimensions and nano-scale internal ...

Gas adsorption on solids, discussing statistical mechanical theory assuming localized adsorption for

The Newtonian regime of a recent nonlocal extension of general relativity is investigated. Nonlocality is introduced via a scalar ''constitutive'' kernel in a special case of the translational gauge theory of gravitation, namely, the teleparallel equivalent of general relativity. In this ...

The presence in Quantum Mechanics of non-local correlations is one of the two fundamentally non-intuitive features of that theory. The non-local correlations themselves fall into two classes: EPR and Geometrical. The non-local characteristics of the geome...

Results of precise measurements on the variation of drift cyclotron loss cone frequency and perpendicular wavenumber as a function of ion density are reported. Careful quantitative comparisons to theory are made. In particular, it was found that a local linear slab model accurately predicted the unstable mode frequencies, even under conditions where ...

A relativistic Lee model of interacting fields is discussed and the formalism of the proposed non-local theory is illustrated on this example. A general formulation of the causality and complementarity in non-local theories of fields is attempted. (auth)

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new, nonlocal, form for the energy functional that is consistent with the Fock-space representation of interaction operators. In ...

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new, nonlocal, form for the energy functional that is consistent with the Fock-space representation of interaction operators. In ...

We present spin-injection experiments in a nonlocal spin transport device where spin is injected from a ferromagnetic FeCo electrode into a GaAs epilayer. The magnetization of the injection contact is switched by Oersted fields generated by alternating current pulses. This enables fast and offset-free measurements of nonlocal spin signals. Due to a ...

... Accession Number : ADA220713. Title : Nonlocal Free Energy Density Functional Theory Applied to the Electrical Double Layer. ...

... Accession Number : ADA326057. Title : Non-Local Theory of Granular Media. Descriptive Note : Final rept. 1991-1992,. ...

Bell's theorem is formulated as a nonlocality property of quantum theory itself, with no explicit or implicit reference to determinism or hidden variables.

A deterministic nonlocal hidden-variable theory with arbitrary initial conditions is consistent with quantum theory. The sufficiency conditions for the hidden variables are developed.

A Nonlocal Theory of Sediment Buffering and Bedrock Channel Evolution, Stark, C. P., E. Foufoula-Georgiou, and V. Ganti, Journal of Geophysical Research ...

... Title : A Comparative Study of Nonlocal Density Functional Theory and ab initio Methods: The Potential Energy Surface of sym-Triazine Reactions. ...

A remarkable feature of quantum theory is nonlocality (Bell inequality violations). However, quantum correlations are not maximally nonlocal, and it is natural to ask whether there are compelling reasons for rejecting theories in which stronger violations are possible. To shed light on this question, we consider ...

A remarkable feature of quantum theory is nonlocality (Bell inequality violations). However, quantum correlations are not maximally nonlocal, and it is natural to ask whether there are compelling reasons for rejecting theories in which stronger violations are possible. To shed light on this question, we consider ...

The origin of nonlocality in {open_quotes}macroscale{close_quotes} models for subsurface chemical transport is illustrated. It is argued that media that are either nonperiodic (e.g., media with evolving heterogeneity) or periodic viewed on a scale wherein a unit cell is discernible must display some nonlocality in the mean. A metaphysical argument suggests ...

Continuum field theories for the Eden and DLA models are formulated, and they are shown to be related to the reggeon field theories with local and nonlocal interactions, respectively.

The admissibility of certain nonlocal hidden-variable theories are explained via information theory.

A generalization of the two-dimensional Yang-Mills and generalized Yang-Mills theory is introduced in which the building B-F theory is nonlocal in the auxiliary field. The classical and quantum properties of this nonlocal generalization are investigated and it is shown that for large gauge groups, there exists a ...

We investigate non-local thermodynamic equilibrium atomic kinetics using nonequilibrium thermodynamics and linear response theory. This approach gives a rigorous general framework for exploiting results from non-LTE kinetic calculations and offers a practical data-tabulation scheme suitable for use in plasma simulation codes. We describe how this method ...

Nonlocality is introduced into the theory of the strong interactions through the neutral vector mesons in the framework of the vector dominance model. The authors have derived bounds for the elementary length of the strong interactions lsub(st)(

... Horne-Shimony-Holt form by 15 standard deviations, thus excluding local hidden-variable theories, and a violation of a Leggett-type nonlocal ...

The recent appearance of nonlocal methods is examined in the light of traditional continuum mechanics. A comparison of nonlocal approaches in the fields of solid and fluid mechanics reveals that no consistent definition of a nonlocal theory has been used. We suggest a definition based on the violation of the ...

The recent appearance of nonlocal methods is examined in the light of traditional continuum mechanics. A comparison of nonlocal approaches in the fields of solid and fluid mechanics reveals that no consistent definition of a nonlocal theory has been used. A definition based on the violation of the principle of ...

A work and energy theorem is proved for generalized nonlocal thermoelasticity. The work and energy theorem is then used to prove the uniqueness theorem for the solution of the initial-boundary value problems associated with the generalized nonlocal theory formulated by Balta and Suhubi (1977).

A critical review of the physical constraints on the form the non-locality can take is presented. The conclusion of this review is that non-locality must be restricted to interactions with the vacuum sea of virtual particles. A successful formulation of s...

Nonlocal cosmological models derived from String Field Theory are considered. A new method for constructing rolling tachyon solutions in the FRW metric in two field configuration is proposed and solutions of the Friedman equations with nonlocal operator are presented. The cosmological properties of these solutions are discussed.

The authors discuss the non-local charge for the Grassmannian non-linear sigma models with and without fermion interactions, both in the classical and in the quantized theory. As suspected, conservation of the quantum non-local charge for the pure model i...

Explicit expressions are obtained for the nonlocal conserved currents in the N-4 supersymmetric gauge theory.

Nonlocality and quantum entanglement constitute two special features of quantum systems of paramount importance in quantum-information theory (QIT). Essentially regarded as identical or equivalent for many years, they constitute different concepts. Describing nonlocality by means of the maximal violation of two Bell inequalities, we ...

A general class of nonlocal cosmological models is considered. A new method for solving nonlocal Friedmann equations is proposed, and solutions of the Friedmann equations with nonlocal operator are presented. The cosmological properties of these solutions are discussed. Especially indicated is the p-adic cosmological model in which we ...

We study partially supersymmetric plane-wave like deformations of string theories and M-theory on brane backgrounds. These deformations are dual to nonlocal field theories. We calculate various expectation values of configurations of closed as well as open Wilson loops and Wilson surfaces in those ...

For the density and kinetic energy density of 1d model finite systems the leading corrections to local approximations as a functional of the potential are derived using semiclassical methods. The corrections are simple, non-local functionals of the potential. Turning points produce quantum oscillations leading to energy corrections, which are completely different from the ...

This paper investigates the natural frequency, steady-state resonance and stability for the transverse vibrations of a nanobeam subjected to a variable initial axial force, including axial tension and axial compression, based on nonlocal elasticity theory. It is reported that the nonlocal nanoscale has significant effects on vibration ...

An earlier paper2 introduces quantum physics by means of four experiments: Youngs double-slit interference experiment using (1) a light beam, (2) a low-intensity light beam with time-lapse photography, (3) an electron beam, and (4) a low-intensity electron beam with time-lapse photography. It's ironic that, although these experiments demonstrate most of the quantum fundamentals, conventional ...

Starting from experimental data on high-energy jets, a nonlocal theory of the 2-center model of jets is proposed. Many features observed experimentally in jets are deduced from this theory. A formulation for cut-off rules is suggested. (auth)

We propose that a novel deformation of string perturbation theory, involving non-local interactions between strings, is required to describe the gravity duals of field theories deformed by multiple-trace operators. The new perturbative expansion involves ...

A nonlocal thermal heat flux module is being implemented in 2-D in the DRACO radiation hydrodynamics code to provide a more accurate representation of the effects of hot electron transport on Inertial Confinement Fusion target implosions. The basic theory, developed in 1-D by Manheimer, Colombant, and Goncharov, ootnotetextW. ...

The natural frequency of nanotubes with consideration of surface effects is studied using the nonlocal Timoshenko beam theory. This theory with long-range interactions revealing the nanoscale effect can be applied to study the vibration behavior of nanostructures. When the nonlocal effect is neglected in the ...

This short note is devoted to the canonical analysis of the non-local theories of gravity. We find their Hamiltonian and determine the algebra of constraints. We perform this analysis for non-local theories of gravity formulated both in Jordan and Einstein frame. The result of our analysis is that Hamiltonian ...

A factual inconsistency of the nonlocality theory is demonstrated via a careful analysis of the conceptual and formal contents of Bell's theorem and the inequalities associated with it. The conceptual inconsistency of the theory follows from the consideration that it is, in principle, impossible to formulate quantum mechanics in terms ...

A new analytic solution of the electron kinetic equation describing the interaction of the electromagnetic heating field with plasma is obtained in the region of plasma parameters where the Spitzer-Harm classical theory is invalid. A novel expression for the nonlocal electron thermal conductivity is derived.

It is shown that introduction of non-local nuclei to the Langevin problem of stochastic quantization of theories with non-fixed-sign Euclidean effect. The general relativity theory and R(sup 2)-gravitation are considered as an example. The method proposed...

Concept of nonlocality is introduced into physics by means of stochastic context using Langevin and Schwinger-Dyson techniques. This allows as to reformulate finite theory of quantum field, free from ultraviolet divergences, based on the stochastic quanti...

By means of linear theory of nonlocal elasticity, solutions are given for some Voltera dislocations situated in an elastic solid. The stress fields are determined for screw and edge dislocations. The stresses and elastic energy are devoid of usual singula...

A comprehensive theoretical derivation for the equations of motion of granular media in three dimensions. The derivation is based on both the probabilistic theory of motion of discreet particles, and utilizes the concepts of non-local thermodynamics.

Non-local charges are studied in the general setting of local quantum field theory. It is shown, that these charges can be represented as polynomials in the incoming respectively outgoing fields with coefficients (kernels) which are subject to specific co...

Corrections to neutrino charge radius and to its magnetiorder moment are calculated within the nonlocal theory of weak interactions. Diagrams up to order eG exp 3 order are considered. Two alternative conclusions have been drawn on the basis of existing e...

The immense difference between Einstein locality and EPR locality is discussed. The latter provides a basis for establishing the nonlocal character of quantum theory, whereas the former does not. A model representing Heisenberg's idea of physical reality ...

In the framework of renormalization perturbation theory the relations between local and nonlocal light-cone expansions are investigated. All calculations are done in scalar field theory. Both expansions are discussed in the case of forward scattering. It ...

An analytical model for predicting surface effects on the free vibration of fluid-conveying nanotubes is developed based on the non-local elasticity theory. In the new model, the effects of both inner and outer surface layers on the nanotubes are taken into consideration. The results show that the surface effects with positive elastic constant or positive ...

Density functional theory with the van der Waals density functional (vdW-DF) is used to calculate equilibrium crystal structure, binding energy, and bulk modulus of ice Ih. It is found that although it overestimates the equilibrium volume, vdW-DF predicts accurate binding energy of ice Ih, as compared with high level quantum chemistry calculations and ...

Global gyrokinetic simulations of ion temperature gradient turbulent transport with piecewise-flat profiles are given to illustrate the breaking of gyro-Bohm scaling by a nonlocal mechanism. The nonlocal drainage of the turbulence from unstable regions spreading into stable (or less unstable) regions breaks the gyro-Bohm scaling toward Bohm in unstable ...

Equation, SIAM J. Appl. Math., to appear. [2] Balta, F. and Suhubi, E. S., Theory of Nonlocal Generalised

... their centers, the solvent by a continuum with an isotropic dielectric constant e, and the electrode by an infinite planar hard wall with a uniform ...

... The density functional theories are successful in predicting the extremum of the diffuse-layer potential as a function of surface charge present in the ...

The finite deformation theory of Taylor-based nonlocal plasticity K.C. Hwanga , Y. Guoa,# , H 100084, China b Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL and possibly higher-order governing equations. We propose a finite deformation theory of nonlocal plasticity

A new approach based on the nonlocal density functional theory to determine pore size distribution (PSD) of activated carbons and energetic heterogeneity of the pore wall is proposed. The energetic heterogeneity is modeled with an energy distribution function (EDF), describing the distribution of solid-fluid potential well depth (this distribution is a ...

Intuition is defined for the purposes of this analysis as: the appearance in the mind of accurate information about the external world, which can be shown to have come not through the five senses, nor through a rearrangement of stored memory contents. Forms of intuition obeying this definition have been explored scientifically under such labels as telepathy, precognition, ...

Two alternative parameterizations for nonlocal turbulence mixing are tested in a 1D boundary-layer model against a dataset from the 1983 Boundary-Layer Experiment (BLX83) in Oklahoma. One method, proposed previously by Stull and Driedonks, is based on a nonlocal approximation to the turbulence kinetic energy (TKE) equation. An alternate method, based on a ...

Understanding the dynamic behavior of rotating nanostructures is important for practical development of nanomachines. At the nanoscale, the nonlocal effects often become prominent. In this study, we investigate the nonlocal effects in bending-vibration of an initially prestressed single-walled carbon nanotube via nonlocal elasticity. ...

A nonlocal potential formalism for general gauge theories. With the help of this mathematical apparatus an argument for quantization of the generalized charge is given, assuming that the Dirac monopoles are present. (auth)

Density functional (DF) theory has proved to be a powerful way to determine the ground state energy of atoms, molecules, and extended systems. An important part of the theory requires one to determine the kinetic energy of the ground state of a system of N noninteracting electrons in a general external field. Kohn and Sham showed how this can be ...

We present new local hybrids of generalized gradient approximation exchange, designed to be small perturbations to the corresponding global hybrid. In general, local hybrids include a position-dependent admixture of nonlocal Hartree-Fock exchange. These new local hybrids incorporate a constant fraction of nonlocal exchange, plus additional ...

... This feature, which is often associated with the Huygens' principle, is employed to construct accurate non-local artificial boundary conditions (ABCs ...

It is shown that the finite and unitary S-matrix describing nonlocal interactions of quantized fields is a solution of the Cauchy problem for the evolution equation (the Schroedinger equation in the interaction picture at imaginary time, i.e., with the Eu...

Analysis from a number of different perspectives has shown diffusion and dispersion in natural porous formations to generally be nonlocal in character, i.e., the mass balance involves integro-partial differential equations. Only in certain asymptotic limi...

This work is my contribution to the proceedings of the conference``SFT2010 --- the Third International Conference on String Field Theory and Related Aspects''. We discuss properties of nonlocal tachyons and nonlocal SFT inspired cosmology.

The gamma gamma implies pi pi amplitude was calculated in nonlocal quark model in the fourth order on the perturbation theory. The coefficients of electric(a) and magnetic polarizability ( beta ) determined are equal in magnitude and opposite in sign alph...

Local variables cannot describe the quantum correlations observed in tests of Bell inequalities. Likewise, we show that deterministic nonlocal variables cannot describe quantum correlations in a relativistic time-order-invariant way.

The paper by Woodward [Phys. Rev. A 62, 052105 (2000)] claimed to have proved that Lagrangian theories with a nonlocality of finite extent are necessarily unstable. In this Comment we propose that this conclusion is false.

We calculate the quantized nonlocal charge of the CP/sup n/-1 model in the framework of renormalized 1/n perturbation theory and prove that it is not conserved.

In this paper, we establish an analog of Wightman's reconstruction theorem for nonlocal quantum field theory with a fundamental length. In our setting, the Wightman generalized functions are defined on test functions analytic in a complex l-neighborhood of the real space and are localizable at scales large compared to l. The causality condition is ...

We present a new method for the prediction of the equilibrium properties of dense gases containing hydrogen isotopes. The proposed approach combines the Feynman-Hibbs effective potential method and a deconvolution scheme introduced by Weeks et al. The resulting equations of state and the chemical potentials as functions of pressure for each of the hydrogen isotope gases depend on a single set of ...

We study the importance of taking the nonlocal optical response of metals into account for accurate determination of optical properties of nanoplasmonic structures. Here we focus on the computational physics aspects of this problem, and in particular we report on the nonlocal-response package that we wrote for state-of the art ...

Nuclear matter is investigated in the relativistic Hartree approximation to a nonlocal A-E model containing short distance vertex form factors to simulate an underlying QCD substructure. At the Hartree level only the nucleon momentum dependence of the distributed vertex enters and the resulting finite nonlocal field theory model is ...

A two-dimensional model composite with elastic reinforcements in a crystalline matrix subject to macroscopic shear is considered using both discrete dislocation plasticity and a nonlocal continuum crystal plasticity theory. Only single slip is permitted in the matrix material. The discrete dislocation results are used as numerical experiments and we ...

It is shown that a space-time (and in particular a hamiltonian) description can be made of a system of fields interacting in a nonlocal manner. Underlying the dynamic apparatus of the theory are renormalized Heisenberg field equations modified in such a way that they automatically lead to a unitary scattering matrix. For this purpose the S-matrix ...

The results of local measurements on some composite quantum systems cannot be reproduced classically. This impossibility, known as quantum nonlocality, represents a milestone in the foundations of quantum theory. Quantum nonlocality is also a valuable resource for information-processing tasks, for example, quantum communication, ...

The results of local measurements on some composite quantum systems cannot be reproduced classically. This impossibility, known as quantum nonlocality, represents a milestone in the foundations of quantum theory. Quantum nonlocality is also a valuable resource for information processing tasks, e.g. quantum communication, quantum key ...

This review summarizes the key progresses, which were reported in the IAEA Technical Meeting on Theory of Plasma Instabilities (Kyoto 2009). An assessment is formulated by focusing on the evolution from 'linear, local, deterministic' theories to 'nonlinear, nonlocal, statistical' theories.

We propose that a novel deformation of string perturbation theory, involving non-local interactions between strings, is required to describe the gravity duals of field theories deformed by multiple-trace operators. The new perturbative expansion involves a new parameter, which is neither the string coupling nor the coefficient of a ...

We study the evolution of vortex solitons in optical media with a nonlocal nonlinear response. We employ a modulation theory for the vortex parameters based on an averaged Lagrangian, and analyze the azimuthal evolution of both the vortex width and diffractive radiation. We describe analytically the physical mechanism for vortex stabilization due to the ...

In earlier works the Krook model for nonlocal electron energy transport in laser produced plasmas was examined. This paper extends the earlier work by treating spherical configurations, specifically laser driven implosions. Additions to the theory due to spherical geometry are worked out. As in the planar case, the nonlocal effects ...

A four-dimensional field theory with a qualitatively new type of nonlocality is constructed from a setting where Kaluza-Klein particles probe toroidally compactified string theory with twisted boundary conditions. In this theory fundamental particles are not pointlike and occupy a volume proportional to their ...

A four-dimensional field theory with a qualitatively new type of nonlocality is constructed from a setting where Kaluza-Klein particles probe toroidally compactified string theory with twisted boundary conditions. In this theory fundamental particles are not pointlike and occupy a volume proportional to their ...

A four-dimensional field theory with a qualitatively new type of nonlocality is constructed from a setting where Kaluza-Klein particles probe toroidally compactified string theory with twisted boundary conditions. In this theory fundamental particles are not pointlike and occupy a volume proportional to their ...

Puff field theory (PFT) is a low energy decoupling regime of string theory that still retains the nonlocal attributes of the parent theory--while preserving isotropy for its nonlocal degrees of freedom. It realizes an extended holographic dictionary at strong coupling and dynamical ...

Puff field theory (PFT) is a low energy decoupling regime of string theory that still retains the nonlocal attributes of the parent theory�while preserving isotropy for its nonlocal degrees of freedom. It realizes an extended holographic dictionary at strong coupling and dynamical ...

We show that intrinsic noise can induce spatiotemporal phenomena such as Turing patterns and traveling waves in a Brusselator model with nonlocal interaction terms. In order to predict and to characterize these stochastic waves we analyze the nonlocal model using a system-size expansion. The resulting theory is used to calculate the ...

The nonlocal electrodynamics of uniformly rotating systems is presented and its predictions are discussed. In this case, due to paucity of adequate experimental data, the nonlocal theory cannot be directly confronted with observation at present. The approach adopted here is therefore based on the correspondence principle: the ...

We analyze dispersion properties of layered metal-dielectric structures, which can be considered as a simple example of nanostructured metamaterials. We demonstrate that, in sharp contrast to the results of the theory of effective media, the layered structure demonstrates strong optical nonlocality due to excitation of surface plasmon polaritons. Such ...

Usually by quantum non-locality we mean that quantum mechanics can not be replaced by local realistic theory. On the other hand this nonlocal feature of quantum mechanics can not be used for instantaneous communication and hence it respect Einstein's special theory of relativity. But still it is not trivial as ...

Two central concepts of quantum mechanics are Heisenberg�€™s uncertainty principle and a subtle form of nonlocality that Einstein famously called �€œspooky action at a distance.�€ These two fundamental features have thus far been distinct concepts. We show that they are inextricably and quantitatively linked: Quantum ...

The frequency equation of carbon-nanotube-based cantilever sensor with an attached mass is derived analytically using nonlocal elasticity theory. According to the equation, the relationship between the frequency shift of the sensor and the attached mass can be obtained. When the nonlocal effect is not taken into account, the variation ...

The free scalar field is investigated within the framework of the Davidson stochastic model and of the hypothesis on space-time stochasticity. It is shown that the resulting Markov field obtained by averaging in this space-time is equivalent to a nonlocal Euclidean Markov field with the times scaled by a common factor which depends on the diffusion parameter ?. Our result ...

Breakdown of local physics in string theory at distances longer than the string scale is investigated. Such nonlocality would be expected to be visible in ultrahigh-energy scattering. The results of various approaches to such scattering are collected and examined. No evidence is found for nonlocality from strings whose length grows ...

Starting from the Hohenberg-Kohn-Sham equations, expressions are derived for the linear-response charge density induced by a nonlocal pseudopotential embedded in an electron gas and for the corresponding interionic pair potential. It is emphasized that an accurate calculation of the charge density is an essential prerequisite for the generation of a ...

... the spin-pumping theory can be tested by comparing ... static interlayer exchange coupling the magnetic layers are ... A better test of the breathing Fermi ...

The formulation of a relativistic theory of statevector reduction is proposed and analyzed, and its conceptual consequences are elucidated. In particular, a detailed discussion of stochastic invariance and of local and nonlocal aspects at the level of ind...

We investigate the quantum effects of the nonlocal gauge invariant operator \\frac{1}{{}{D}^{2}}{F}_{\\mu \

... on Structural Mechanics in Reactor Technology (SMiRT ... fracture of damaging materials (with M ... Jirdsek), Symposium on Material Mechanics, ASCE ...

... point of the binary liquid mixture 3-methylpentane ... DIFFUSION), (* THERMODYNAMICS, LIQUIDS), PHASE STUDIES, MIXTURES, THEORY ...

The non-local aspects of interaction between quantum systems are investigated. These aspects are particularly conspicuous in quantum phenomena without a classical analog, such as the quantum effects of electromagnetic potentials. The study of the potentia...

It is shown that the nonlocal potential deduced from quantum field theory may be replaced by a local, complex refraction index for large wave numbers. (auth)

The principal chiral model is solved using the conserved non-local charge, absence of bound states, and a discrete symmetry of the theory. (Atomindex citation 15:026661)

A non-local pseudopotential theory has been used to calculate the contributions to the Knight shift in beryllium. The computed value has both the correct sign and numerical agreement with recent experiments. (Author)

Kohn-Sham density functional theory has become a standard method for modeling energetic, spectroscopic, and chemical reactivity properties of large molecules and solids. Density functional theory provides a rigorous theoretical framework for modeling the many-body exchange-correlation effects that dominate the computational cost of traditional wave ...

The transcendental vacuum expectation values arising from quantized field theories of the second kind are shown to impart to those theories a nonlocal structure which is characterized by an indeterminacy in spacetime of the light-cone, indefinite metric in Hilbert space and noninvariance under similarity transformations in ...

The basic set of gauge-invariant local as well as nonlocal fields is constructed for a non-Abelian pure gauge theory with the gauge group SU({ital N}). It is shown that the basic set of local gauge-invariant fields are local generators of the nonlocal gauge-invariant fields. This provides a complete description of gauge-invariant ...

, this is still a very important source of uncertainty in the current theory of stellar convection. Apart fromAN ANISOTROPIC NONLOCAL CONVECTION THEORY L. Deng,1 D. R. Xiong,2 and K. L. Chan3 Received 2005 of stellar convection. Following the idea of Rotta, we propose that the correlation of turbulent pressure

The standard astrophysical mixing-length theory of turbulent convection, and modifications, are calibrated with laboratory data over a range of Rayleigh numbers and Prandtl numbers. Local and nonlocal theories are considered, and the effects on the calibr...

fact that in many respects such a theory still needs to be built. Difference equations are mathematical equations and an inherently discrete theory of functions as the basic mathematical tools. It is a surprising equation, but without the limit the equation is essentially nonlocal. This is one reason why the theory

An alternative definition of topological quantum field theory in 2+1 dimensions is discussed. The fundamental objects in this approach are not gauge fields as in the usual approach, but non-local observables associated with graphs. The classical theory of...

We study the energetics of burying charges, ion pairs, and ionizable groups in a simple protein model using nonlocal continuum electrostatics. Our primary finding is that the nonlocal response leads to markedly reduced solvent screening, comparable to the use of application-specific protein dielectric constants. Employing the same parameters as used in ...

We study the energetics of burying charges, ion pairs, and ionizable groups in a simple protein model using nonlocal continuum electrostatics. Our primary finding is that the nonlocal response leads to markedly reduced solvent screening, comparable to the use of application-specific protein dielectric constants. Employing the same parameters as used in ...

... Title : AN ACCURATE THEORY OF FREE CONVECTION. Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO. ...

Effective theories are nonlocal at the scale of the eliminated heavy particles modes. The gradient expansion, which represents such nonlocality, must be truncated to have treatable models. This step leads to the proliferation of the degrees of freedom, which renders the identification of the states of the effective ...

In this paper, torsional vibration analysis of single-walled carbon nanotube�buckyball systems is carried out. The buckyball is attached to single-walled carbon nanotube (SWCNT) at one end and the other end of SWCNT is fixed. Such nanostructures are promising for tunable nanoresonators whose frequency can be altered by attaching different buckyballs. Nonlocal elasticity is ...

A nonlocal, first-order, Eulerian stochastic theory was developed for the mean concentration of a conservative tracer. Here that result is extended to account for linear nonequilibrium sorption with random partition coefficient. The resultant theory is nonlocal in space and time. An important observation is that ...

The present study proposes an analytical solution for the buckling analysis of rectangular nanoplates. In order to extract characteristic equations of the micro/nanoscale plate under in-plane load, the analysis procedure is based on the nonlocal Mindlin plate theory considering the small scale effects. The nonlocal Mindlin plate ...

In the present study, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams. Nonlocal constitutive equations of Eringen are used in the formulations. After deriving governing equations, different beam theories including those of Euler-Bernoulli, Timoshenko, Reddy, ...

An analytic approach to phenomenological models inspired by cubic string field theory is introduced and applied to some examples. We study a class of actions for a minimally coupled, homogeneous scalar field whose energy density contains infinitely many time derivatives. These nonlocal systems are systematically localized and an algorithm to find ...

We develop the thermodynamics of field theories characterized by non-local propagators. We analyze the partition function and main thermodynamic properties arising from perturbative thermal loops. We focus on the p-adic models associated with the tachyon phenomenology in string theories. We reproduce well known features of these ...

The historical dilemma that pits accuracy against interpretability in molecular electronic structure calculations may be resolved with electron propagator theory. In the interpretation of electron binding energies, electron propagator theory provides a systematically improvable description of electron correlation while retaining one-electron concepts, such ...

A current objective of low-energy nuclear theory is to build nonempirical nuclear energy density functionals (EDFs) from underlying internucleon interactions and many-body perturbation theory (MBPT). The density matrix expansion (DME) of Negele and Vautherin is a convenient method to map highly nonlocal Hartree-Fock expressions into ...

A current objective of low-energy nuclear theory is to build nonempirical nuclear energy density functionals (EDFs) from underlying internucleon interactions and many-body perturbation theory (MBPT). The density matrix expansion (DME) of Negele and Vautherin is a convenient method to map highly nonlocal Hartree-Fock expressions into ...

Hybrid functionals are responsible for much of the utility of modern Kohn-Sham density functional theory. When rigorously applied to solid-state metallic and small band gap systems, however, the slow decay of their nonlocal Hartree-Fock-type exchange makes hybrids computationally challenging and introduces unphysical effects. This can be remedied by using ...

We shall study the Lie-admissible lifting of the commutation relations between field operators, the four-momentum operators and the coordinates operators. By choosing suitable admissible elements, we can show that a set of noncanonical commutation relations will correspond to the equations of Yukawa's nonlocal (bilocal) field theory.

The non-local Machian model is regarded as an alternative theory of gravitation which states that all particles in the Universe as a `gravitationally entangled' statistical ensemble. It is shown that the Klein-Gordon equation can be derived within this Machian model of the universe. The crucial point of the derivation is the activity of the Machian energy ...

We comprehensively investigate the effect of quantum space-time nonlocality that accounts for retardation of the electron interaction with both the electron�s own radiation field and the fluctuation field of the electromagnetic vacuum. We rigorously show that the quantum nonlocality effect eliminates the self-acceleration and the causality violation ...

A theoretical study of the restricted primitive model of the electrical double layer using a free energy density functional theory is presented. The ion-ion hard-core repulsive contribution to the free energy is incorporated by a nonlocal excess hard-sphe...

The non-local quantum field theory, finite at a fixed elementary length l and based on the non-abelian gauge group SU(N)xU(1), is built up. A principle possibility of calculating the form factor is shown. As an illustration the vacuum polarization operato...

This article identifies a series of properties common to all theories that do not allow for superluminal signaling and predict the violation of Bell inequalities. Intrinsic randomness, uncertainty due to the incompatibility of two observables, monogamy of correlations, impossibility of perfect cloning, privacy of correlations, bounds in the shareability of some states; all ...

The Heitler-Arnous non-local interaction theory is applied to the treatment of the interaction between nucleons. A second-order calculation leads to the existence of a "hard core" whose radius is in agreement with the experimental re sults. (tr-auth)

We consider the pairing Hamiltonian and systematically construct its density functional in the strong-coupling limit and in the limit of large particle numbers. In the former limit, the functional is an expansion into central moments of occupation numbers. In the latter limit, the functional is known from BCS theory. Both functionals are nonlocal in ...

We find nonperturbative solutions of a nonlocal scalar field equation, with cubic or exponential potential on a cosmological background. The former case corresponds to the lowest level effective tachyon action of cubic string field theory. While the well known Minkowski solution is wildly oscillating, due to Hubble friction its cosmological counterpart ...

Experimental measurements of critical magnetic fields and hysteresis effects in superconducting Sn films are compared with the predictions of a nonlocal modification of the Ginzburg-Landau nonlinear theory of superconductivity, This nonlocal theory assumes boundary conditions corresponding to diffuse ...

Instrumental transcommunication (communication with deceased persons through an instrument such as a radio) is a repeatedly observed phenomenon that has lately been experimentally tested. It is queried here for its authenticity, and an interpretation is explored in the framework of theories of nonlocality, in particular the vacuum field ...

Ever since the appearance of renormalization theory, there have been several differently motivated attempts at non-localized (in the sense of not generated by pointlike fields) relativistic particle theories, the most recent one being at QFT on non-commutative Minkowski spacetime. The often conceptually uncritical and historically ...

The presence in Quantum Mechanics of non-local correlations is one of the two fundamentally non-intuitive features of that theory. The non-local correlations themselves fall into two classes: EPR and Geometrical. The non-local characteristics of the geometrical type are well-understood and are not suspected of ...

Spatial nonlocality is known to play an important role at distances of a few nanometers, but few efforts have been made to theoretically investigate nonlocal effects in a rigorous way. We explore the effect of nonlocal response, which can be critical in the optical performance of metals at distances of 1-2 nanometers. This is ...

Accurate measurements of the plasma conditions in laser-produced high-temperature plasmas have been achieved using the recently activated 4{omega} Thomson-scattering diagnostic at the Omega Laser Facility, Soures et al., Laser Part. Beams 11 (1993). These diagnostic measurements were performed in a new hohlraum target platform that will be used to study laser-plasma ...

First-order perturbation theory can be used to predict the combined effect of surface roughness and dielectric inhomogeneities on the scattering of light from optical surfaces. Problems that arise, are discussed.

The theory of chemisorption is discussed within the LCAO framework in terms of the local and nonlocal density of electronic states of the coupled adsorbate-substrate system. The concept of a surface complex is developed and related to states split off fro...

The failure of quasibrittle materials, which include concrete, rock, high-performance ceramics and fiber composites, cannot be treated according to the classical theories of plasticity or fracture mechanics because growth of zones of strain softening dama...

In previous work one of the authors gave a geometric theory of those nonlinear evolution equations which can be solved by the Zakharov and Shabat (1972) inverse scattering scheme as generalized by Ablowitz, Kaup, Newell and Segur (1973,1974). In this pape...

The scattered-wave approach to molecular-orbital theory is generalized to the case where the one-electron potential can be represented by a model nonlocal operator which is dependent on the orbital energy and angular-momentum components. In its most eleme...

This essay begins with a comparison between Bohm's theory and the dynamical reduction program. While there are similarities (e.g., the preferred basis), there are also important differences (e.g., the type of nonlocality or of Lorentz invariance). In part...

Bell's theory proves the nonlocal character of quantum mechanics alien to the theory of relativity, which shows how essential were the objections of Einstein against quantum mechanics. Since the experiment on Bell's inequalities favours quantum mechanics,...

Until recently, the principal barrier to the accurate theoretical description of electronic collisions with polyatomic molecules was the computational problem of scattering by a nonlocal, arbitrarily asymmetric potential. Effective numerical techniques ca...

We review time-domain formulations of radiation boundary conditions for Maxwell's equations, focusing on methods which can deliver arbitrary accuracy at acceptable computational cost. Examples include fast evaluations of nonlocal conditions on symmetric a...

A nonlocal Euler-Bernoulli elastic beam model is developed for the vibration and instability of tubular micro- and nano-beams conveying fluid using the theory of nonlocal elasticity. Based on the Newtonian method, the equation of motion is derived, in which the effect of small length scale is incorporated. With this ...

A nonlocal spinor field theory of electromagnetically neutral matter is developed in which both gravitational field and its source emerge from a quadrilocal extension of the complex Weyl spinor, the sources finding expression in terms of the local limit of the derivatives with respect to the internal coordinates of that part of the ...

Nonlocal entanglement is crucial for quantum information processes. While nonlocal entanglement has been realized for photons, it is much more difficult to demonstrate for electrons. One approach that has been proposed is to use hybrid superconducting/normal-metal devices. When the distance between two normal-metal electrodes connected to a superconductor ...

We present an accurate and efficient technique for calculating thermal X-ray absorption fine structure (XAFS) Debye-Waller factors (DWFs) applicable to crystalline materials. Using Density Functional Theory on a 3�3�3 supercell pattern of MnO structure, under the nonlocal hybrid B3LYP functional paired with Gaussian local basis ...

This inaugural article has a twofold purpose: (i) to present a simpler and more general justification of the fundamental scaling laws of quasibrittle fracture, bridging the asymptotic behaviors of plasticity, linear elastic fracture mechanics, and Weibull statistical theory of brittle failure, and (ii) to give a broad but succinct overview of various applications and ...

An X-ray transport model is developed which gives the streaming radiation flux, thermal radiation flux, and material energy of air, as a function of position and time, following the release of a large amount of x-ray energy in the atmosphere. The model is intended as a compromise between the simple diffusion theory models and the accurate transport ...

The natural frequency of a nonuniform nanocantilever beam with consideration of surface effects is studied using the nonlocal elastic theory. The governing equation of transverse vibration for the nonuniform nanocantilever beam, including both surface and nonlocal effects, is obtained first, and then the Rayleigh-Ritz method is used to ...

The self-consistent pseudopotential method has been applied to the determination of the electronic structure of the GaAs(110) surface in the framework of the Kohn-Sham density-functional theory, using the nonlocal exchange-correlation energy functional of Gunnarsson and Jones. It is shown that the inclusion of nonlocality in the ...

We derive the properties of hard thermal effective actions in gauge theories from the point of view of Schwinger's proper time formulation. This analysis is simplified by introducing a set of generalized energy and momenta which are conserved and are nonlocal in general. These constants of motion, which embody energy-momentum exchanges between the ...

In this article, the buckling behavior of nanoscale circular plates under uniform radial compression is studied. Small-scale effect is taken into consideration. Using nonlocal elasticity theory the governing equations are derived for the circular single-layered graphene sheets (SLGS). Explicit expressions for the buckling loads are obtained for clamped and ...

We develop the cosmological perturbations formalism in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density perturbations of the non-local scalar field in the presence of arbitrary potential and formulate the ...

Manifestly covariant quantum theory with invariant evolution parameter is a parametrized relativistic dynamical theory. The study of parameterized relativistic dynamics (PRD) helps us understand the consequences of changing key assumptions of quantum field theory (QFT). QFT has been very successful at explaining physical observations ...

One obstacle in orbital-free density functional theory (OF-DFT) is the lack of accurate and transferable local pseudopotentials (LPSs). In this work, we build high quality LPSs by inverting Kohn-Sham (KS) equations on bulk valence electron densities to obtain an atom-centered local pseudopotential. With this approach, we build LPSs for Mg, Al, and Si, and ...

Polar liquids like water carry a characteristic nanometric length scale, the correlation length of orientation polarizations. Continuum theories that can capture this feature commonly run under the name of "nonlocal" electrostatics since their dielectric response is characterized by a scale-dependent dielectric function ?(q), where q is the wave vector; ...

Polar liquids like water carry a characteristic nanometric length scale, the correlation length of orientation polarizations. Continuum theories that can capture this feature commonly run under the name of �nonlocal� electrostatics since their dielectric response is characterized by a scale-dependent dielectric function ?(q) , where q is the wave ...

We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors of a similar type. The functional has a tractable and robust analytic form that lends itself to efficient self-consistent implementation. ...

In the present study, forced vibration of a simply supported single-walled carbon nanotube (SWCNT) subjected to a moving harmonic load is investigated by using nonlocal Euler-Bernoulli beam theory. The time-domain responses are obtained by using both the modal analysis method and the direct integration method. The effects of nonlocal ...

In this paper, the critical buckling temperature of single-walled carbon nanotubes (SWCNTs), which are embedded in one-parameter elastic medium (Winkler foundation) is estimated under the umbrella of continuum mechanics theory. Nonlocal continuum theory is incorporated into Timoshenko beam model and the governing differential equations ...

A novel weighted density functional theory (WDFT) for an inhomogeneous 12-6 Lennard-Jones fluid is proposed based on the modified fundamental measure theory for repulsive contribution, the mean-field approximation for attractive contribution, and the first-order mean-spherical approximation with a weighted density for correlation contribution. Extensive ...

A novel weighted density functional theory (WDFT) for an inhomogeneous 12-6 Lennard-Jones fluid is proposed based on the modified fundamental measure theory for repulsive contribution, the mean-field approximation for attractive contribution, and the first-order mean-spherical approximation with a weighted density for correlation contribution. Extensive ...

Eringen's nonlocality is incorporated into the shell theory to include the small-scale effects on the axial buckling of single-walled carbon nanotubes (SWCNTs) with arbitrary boundary conditions. To this end, the Rayleigh�Ritz solution technique is implemented in conjunction with the set of beam functions as modal displacement functions. Then, molecular ...

Partial wave theory of a three dimensional scattering problem for an arbitrary short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a 'hard sphere'-like potential and the magnetic flux is examined. An anomalous total cross section is revealed at the specific quantized magnetic flux at ...

The spatial and temporal evolutions of nonlocal heat transport in laser-produced aluminum plasmas are studied with the improvements of the Thomson scattering experiments and the kinetic Fokker-Planck simulations. The results are compared with the hydrodynamic simulations with the classical Spitzer-H�rm theory. When another heater beam is used, the ...

Entangled states of quantum systems can give rise to measurement correlations of separated observers that cannot be described by local hidden variable theories. Usually, it is assumed that entanglement between particles is generated due to some distance-dependent interaction. Yet anyonic particles in two dimensions have a nontrivial interaction that is purely topological in ...

The behavior of solitons in models which take into account complex dispersion or nonlocal interaction of nonlinear waves is examined. A method is proposed to reduce this problem to one involving special trajectories (homoclinic and heteroclinic) of the dynamic system. This method involves replacing the nonlinear integrodifferential equation with the differential equations ...

Recently, the principle of nonviolation of information causality [Nature 461, 1101 (2009)] has been proposed as one of the foundational properties of nature. We explore the Hardy's nonlocality theorem for two-qubit systems, in the context of generalized probability theory, restricted by the principle of nonviolation of information causality. ...

We derive analytical solutions for the scattering of electromagnetic waves by a nanoparticle with nearly spherical shape and nonlocal dielectric function by using an extended Mie scattering theory with additional boundary conditions. A perturbation method is used to treat the correction due to deviation from the spherical shape. A surface characteristic ...

The logical structure of my recently proved nonlocality theorem [Phys. Rev. A 46, 6860 (1992)] is examined from the perspective of the theory counterfactual conditionals. It is shown in detail why the argument of Dickson and Clifton [preceding Comment, Phys. Rev. A 49, 4259 (1994)] does not substantiate their claim.

format. These gradient formulations are in fact higher-order extensions of the local plasticity theoryPlasticity-induced Damage in Metals nonlocal modelling at finite strains #12;This research was carried of the Netherlands Institute for Metals Research (NIMR). Engelen, Roy A.B. Plasticity-induced Damage in Metals

Within the framework of nonrelativistic potential scattering theory, an off-energy-shell generalization of the various solutions and the potential matrix elements is carried out. Some relations between these solutions and between the matrix elements are derived. The off-energy-shell generalization of the Jost--Pais theorem is proved for a general nonlocal ...

General modification of renormalization schemes in gauge quantum field theories that fixes a running gauge parameter a-bar(Q(sup 2))->a=const is proposed. It is based on nonlocal counter-terms (Delta)L=(f(square)((partial derivative)B))(sup 2)/2a. The res...

The mathematical framework for the LLNL code NUTS is developed. This code is designed to study the evolution of an electron-beam-generated plasma channel at all pressures. The Boltzmann treatment of the secondary electrons presented include all inertial, nonlocal, electric and magnetic effects, as well as effects of atomic collisions. Field equations are advanced ...

The formalism based on non-local charges that we propose provides an alternative to the quantum inverse scattering method for solving integrable quantum field theories in 2D. The content of the paper is: 1. Introduction: historical background. 2. The NLC ...

We consider the quantum conductance g of nanosystems inside which the electrons interact. Using the Hartree-Fock approximation, we study in simplified models how the Friedel oscillations of the electron density induced inside the nanosystem by an external scatterer can modify its conductance g. This interaction-induced non-local character of g could play an important role in ...

This article studies the eigenvalue problem of a fractional differential equation which is a foundation model of a bar of finite length with long-range interactions arising from non-local continuum mechanics. We show that this problem has countable simple real eigenvalues and the corresponding eigenfunctions form a complete orthogonal system in the Hilbert space L2. ...

In this paper, following an elementary line of thought which somewhat differs from the usual one, we prove once more that any deterministic theory predictively equivalent to quantum mechanics unavoidably exhibits a contextual character. The purpose of adopting this perspective is that of paving the way for a critical analysis of the use of counterfactual arguments when dealing ...

In this paper, following an elementary line of thought which somewhat differs from the usual one, we prove once more that any deterministic theory predictively equivalent to quantum mechanics unavoidably exhibits a contextual character. The purpose of adopting this perspective is that of paving the way for a critical analysis of the use of counterfactual arguments when dealing ...

Geometry optimizations and normal-mode analyses of three conformers of 1,3,5-trinitro-s-triazine (RDX) are performed using second-order Moller-Plesset (MP2) and nonlocal density functional theory (DFT) methods. The density function used in this study is B...