Title: Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas
Author(s):

	P.Kostrobii (National University "Lvivska Politekhnika" 12, Bandera Str., Lviv, UA-79013, Ukraine) ,
	B.Markovych (National University "Lvivska Politekhnika" 12, Bandera Str., Lviv, UA-79013, Ukraine) ,
	A.Vasylenko (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
	M.Tokarchuk (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
	Yu.Rudavskii (National University "Lvivska Politekhnika" 12, Bandera Str., Lviv, UA-79013, Ukraine)

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.

Key words: nonequilibrium statistical operator, Green's functions, generalized transport coefficients, inhomogeneous electron gas
PACS: 05.60.Gg, 05.70.Np, 63.10.+a, 68.43, 82.20.Xr