Statistical description of electrodiffusion processes in the electron subsystem of a semibounded metal within the generalized jellium model

TL;DR

This paper develops a statistical framework for describing nonlinear electrodiffusion processes in the electron subsystem of a semibounded metal, extending beyond linear approximations using the generalized jellium model.

Contribution

It introduces a nonequilibrium statistical operator derived via functional integration, enabling analysis of nonlinear electron transport beyond linear response.

Findings

Derived generalized transport equations for nonlinear processes

Extended analysis beyond linear approximation

Provided a statistical description within the generalized jellium model

Abstract

Based on the calculation of the quasiequilibrium statistical sum by means of the functional integration method, we obtained a nonequilibrium statistical operator for the electron subsystem of a semibounded metal in the framework of the generalized jellium model in the Gaussian and higher approximations with respect to the dynamic electron correlations. This approach allows one to go beyond the linear approximation with respect to the gradient of the electrochemical potential corresponding to weakly nonequilibrium processes and to obtain generalized transport equations that describe nonlinear processes.