Family of Nonequilibrium Statistical Operators and the Influence of the Past on the Present

TL;DR

This paper introduces a family of nonequilibrium statistical operators that incorporate system lifetime distributions, affecting the form of kinetic equations and coefficients, and highlighting the influence of past states on the present.

Contribution

It proposes a new family of NSO models based on lifetime distributions, extending the Zubarev approach and accounting for the system's history influence.

Findings

The form of the source term in the Liouville equation is modified.

Expressions for kinetic coefficients and fluxes are affected.

Differences from Zubarev NSO are of order reciprocal lifetime.

Abstract

A family of nonequilibrium statistical operators (NSO) is introduced which differ by the system lifetime distribution over which the quasiequilibrium distribution is averaged. This changes the form of the source in the Liouville equation, as well as the expressions for the kinetic coefficients, average fluxes, and kinetic equations obtained with use of NSO. The difference from the Zubarev form of NSO is of the order of the reciprocal lifetime of a system.