Viscoelastic description of electron subsystem of a semi-bounded metal within generalized "jellium" model

TL;DR

This paper develops a viscoelastic framework for the electron subsystem in semi-bounded metals using the generalized jellium model and nonequilibrium statistical methods, deriving transport equations for electron density and momentum.

Contribution

It introduces a novel nonequilibrium statistical approach to describe electron dynamics in semi-bounded metals within the generalized jellium model.

Findings

Derived transport equations for electron density and momentum.

Obtained the nonequilibrium statistical operator and partition function.

Extended the model to include third-order cumulant effects.

Abstract

Viscoelastic description of the electron subsystem of a semi-bounded metal on the basis of the generalized "jellium" model using the method of nonequilibrium statistical Zubarev operator is proposed. The nonequilibrium statistical operator and the quasi-equilibrium partition function calculated by means of the functional integration method are obtained. Transport equations for nonequilibrium mean values of electron density and momentum are received in the Gaussian approximation and in the following higher approximation that corresponds to the third-order cumulant averages in calculation of the quasi-equilibrium partition function.