On the non local character of Wannier functions in hybrid bands

1988 ◽  
Vol 49 (7) ◽  
pp. 1091-1095 ◽  
Author(s):  
J. Friedel
Entropy ◽  
2018 ◽  
Vol 20 (7) ◽  
pp. 539 ◽  
Author(s):  
Gregor Chliamovitch ◽  
Yann Thorimbert

In two recent papers we introduced a generalization of Boltzmann’s assumption of molecular chaos based on a criterion of maximum entropy, which allowed setting up a bilocal version of Boltzmann’s kinetic equation. The present paper aims to investigate how the essentially non-local character of turbulent flows can be addressed through this bilocal kinetic description, instead of the more standard approach through the local Euler/Navier–Stokes equation. Balance equations appropriate to this kinetic scheme are derived and closed so as to provide bilocal hydrodynamical equations at the non-viscous order. These equations essentially consist of two copies of the usual local equations, but coupled through a bilocal pressure tensor. Interestingly, our formalism automatically produces a closed transport equation for this coupling term.


Focaal ◽  
2020 ◽  
pp. 1-14
Author(s):  
Tijo Salverda

This article addresses the relevance of the moral economy concept in light of unequal socioeconomic relations between a European agribusiness and rural residents in Zambia. It argues that the moral economy concept offers a helpful heuristic device for analyzing how relationships are constituted, negotiated, and contested among interdependent actors with “opposing” socioeconomic interests. To explain the dynamics of their relationships, however, the moral economy concept has to extend beyond its usual, spatially restricted (i.e., local) focus. Instead, “external,” distant, non-local actors, such as foreign critics concerned about “land grabbing,” also influence the local character of moral-economic exchanges between the agribusiness and rural residents. Hence, the article proposes a multiscalar perspective to account for the influence of a wider array of actors.


1976 ◽  
Vol 31 (12) ◽  
pp. 1457-1464
Author(s):  
M. Sorg

AbstractAlthough the equation of motion, recently proposed for the classical radiating electron, is of non-local character in proper time, the Newtonian initial data (position and velocity) are sufficient to guarantee existence and uniqueness of the solutions. The corresponding existence proof is accomplished by the Picard-Lindelöf method of successive approximations. This method indicates the possibility of a perturbation expansion of the exact solution in terms of the non-locality parameter. Such a perturbation expansion does not seem to be possible in the Lorentz-Dirac theory.


2003 ◽  
Vol 3 ◽  
pp. 271-275
Author(s):  
B.H. Khudjuyerov ◽  
I.E. Shodmonov ◽  
E.C. Holier

As experience shows the development of deep oil fields with terrigenous reservoirs along with irreversibility of deformation there is a loss of stability of the formation's skeleton, i.e. he collapses in zones of strong pressure decrease. Particles of rock then are carried out from the formation by a flow of liquid. In this case, the composition of the liquid changes, a two-phase medium consisting of a liquid and a solid particles. In this paper we propose generalized dependencies of the variation porosity and permeability in the elastic-plastic mode of filtration The liquid taking into account the removal of the destroyed particles from the formation, where it is taken into account non-local character of the removal of the destroyed particles in time.


2013 ◽  
Vol 723 ◽  
pp. 587-603 ◽  
Author(s):  
Florian Tuerke ◽  
Javier Jiménez

AbstractDirect numerical simulations of turbulent channels with artificially prescribed velocity profiles are discussed, using both natural and purposely incorrect profiles. It is found that turbulence develops correctly when natural profiles are prescribed, but that even slightly incorrect ones modify the Reynolds stresses substantially. That is used to study the dynamics of the energy-containing velocity fluctuations. The stronger (weaker) structures generated by locally stronger (weaker) mean shears have essentially correct isotropy coefficients but they are out of energy equilibrium, with the energy imbalance compensated by turbulent diffusion. The velocity scale in smooth profiles changes with the distance to the wall, and is best described by a friction velocity derived from the local total tangential stress. The behaviour across sharper shear jumps is more consistent with non-equilibrium eddies that relax over wall-normal distances of the order of the distance to the wall, suggesting that the energy equilibrium in the logarithmic layer is not local to a given height, but applies to extended layers homogenized by wall-normal fluxes. Examples of that non-local character are the large-scale inactive fluctuations near the wall, whose velocities do not scale with the local shear stress, but with that of their active ‘cores’ farther away from the wall.


1993 ◽  
Vol 07 (01n03) ◽  
pp. 193-196 ◽  
Author(s):  
K. A. KIKOIN ◽  
A. S. MISHCHENKO

A microscopic theory for the interaction of lattice vibrations with electronic excitations specific to the intermediate valence semiconductors is proposed. The essentially non-local character of the valence shell excitations leads to the additional dispersion of the electron-phonon matrix elements, which give dramatic contribution to the form of longitudinal phonon branches anomalies. This description enlightens both the mechanism of phonon softening in perfect and imperfect lattices, appearance of extra modes in neutron scattering spectra and the nature of valence fluctuations in RE semiconductors. The phonon spectra of integer valence (EuS, SmS(B)) and mixed valence (Sm(Y)S, SmS(G), TmSe, SmB6) semiconductors are calculated within this unified approach.


Author(s):  
Archana Saxena ◽  
Praveen C Srivastava

Abstract We have calculated the energy spectra for neutron-rich $^{18-22}$N isotopes using the no-core shell model. To calculate the energy spectrum we have used three different $NN$ potentials: inside non-local outside Yukawa (INOY), next-to-next-to-next-leading order (N3LO) from chiral effective field theory, and charge-dependent Bonn 2000 (CDB2K). The INOY potential is a two-body interaction but also has the effect of three-body forces at short range and a non-local character present in it. The calculations have been done at $\hbar\Omega=20$ MeV, 14 MeV, and 12 MeV using INOY, N3LO, and CDB2K potentials, respectively. We have also performed shell model calculations with the YSOX interaction. The results with the INOY interaction show good agreement with the experimental data in comparison to the other three interactions. We have also shown the occupancy of different orbitals involved corresponding to the largest model space ($N_{\rm max} = 4$) in the calculations.


2016 ◽  
Vol 143 (702) ◽  
pp. 494-507 ◽  
Author(s):  
Khaled Ghannam ◽  
Tomer Duman ◽  
Scott T. Salesky ◽  
Marcelo Chamecki ◽  
Gabriel Katul

Synthese ◽  
2017 ◽  
Vol 197 (10) ◽  
pp. 4161-4185
Author(s):  
Tomasz Bigaj

Abstract The existence of non-local correlations between outcomes of measurements in quantum entangled systems strongly suggests that we are dealing with some form of causation here. An assessment of this conjecture in the context of the collapse interpretation of quantum mechanics is the primary goal of this paper. Following the counterfactual approach to causation, I argue that the details of the underlying causal mechanism which could explain the non-local correlations in entangled states strongly depend on the adopted semantics for counterfactuals. Several relativistically-invariant interpretations of spatiotemporal counterfactual conditionals are discussed, and the corresponding causal stories describing interactions between parts of an entangled system are evaluated. It is observed that the most controversial feature of the postulated causal connections is not so much their non-local character as a peculiar type of circularity that affects them.


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