Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas

Nonequilibrium properties of an inhomogeneous electron gas are studied using the method of the nonequilibrium statistical operator by D.N. Zubarev. Generalized transport equations for the mean values of inhomogeneous operators of the electron number density, momentum density, and total energy densit...

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Main Authors: P.Kostrobii, B.Markovych, A.Vasylenko, M.Tokarchuk, Yu.Rudavskii
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2006-01-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.9.3.519
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author P.Kostrobii
B.Markovych
A.Vasylenko
M.Tokarchuk
Yu.Rudavskii
author_facet P.Kostrobii
B.Markovych
A.Vasylenko
M.Tokarchuk
Yu.Rudavskii
author_sort P.Kostrobii
collection DOAJ
description Nonequilibrium properties of an inhomogeneous electron gas are studied using the method of the nonequilibrium statistical operator by D.N. Zubarev. Generalized transport equations for the mean values of inhomogeneous operators of the electron number density, momentum density, and total energy density for weakly and strongly nonequilibrium states are obtained. We derive a chain of equations for the Green's functions, which connects commutative time-dependent Green's functions "density-density", "momentum-momentum", "enthalpy-enthalpy" with reduced Green's functions of the generalized transport coefficients and with Green's functions for higher order memory kernels in the case of a weakly nonequilibrium spatially inhomogeneous electron gas.
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spelling doaj.art-1b4fbf3336344c80b43d42cfd0d621722022-12-22T01:30:28ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2006-01-019351953310.5488/CMP.9.3.519Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gasP.KostrobiiB.MarkovychA.VasylenkoM.TokarchukYu.RudavskiiNonequilibrium properties of an inhomogeneous electron gas are studied using the method of the nonequilibrium statistical operator by D.N. Zubarev. Generalized transport equations for the mean values of inhomogeneous operators of the electron number density, momentum density, and total energy density for weakly and strongly nonequilibrium states are obtained. We derive a chain of equations for the Green's functions, which connects commutative time-dependent Green's functions "density-density", "momentum-momentum", "enthalpy-enthalpy" with reduced Green's functions of the generalized transport coefficients and with Green's functions for higher order memory kernels in the case of a weakly nonequilibrium spatially inhomogeneous electron gas.http://dx.doi.org/10.5488/CMP.9.3.519nonequilibrium statistical operatorGreen's functionsgeneralized transport coefficientsinhomogeneous electron gas
spellingShingle P.Kostrobii
B.Markovych
A.Vasylenko
M.Tokarchuk
Yu.Rudavskii
Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
Condensed Matter Physics
nonequilibrium statistical operator
Green's functions
generalized transport coefficients
inhomogeneous electron gas
title Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
title_full Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
title_fullStr Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
title_full_unstemmed Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
title_short Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
title_sort nonequilibrium statistical zubarev s operator and green s functions for an inhomogeneous electron gas
topic nonequilibrium statistical operator
Green's functions
generalized transport coefficients
inhomogeneous electron gas
url http://dx.doi.org/10.5488/CMP.9.3.519
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