Irreversibility and Entropy Production in Transport Phenomena II -- Statistical-mechanical Theory on Steady States including Thermal Disturbance and Energy Supply

TL;DR

This paper develops a statistical-mechanical framework for analyzing steady-state transport phenomena under thermal disturbances and energy supply, extending existing formalisms to infinite order of external forces.

Contribution

It introduces a unified approach connecting Kubo's perturbation and Zubarev's non-equilibrium formulations for nonlinear transport at steady states.

Findings

Extended formulations to infinite order of external forces.

Clarified relationship between two statistical-mechanical approaches.

Provided insights into entropy production in transport phenomena.

Abstract

Some general aspects of nonlinear transport phenomena are discussed on the basis of two kinds of formulations obtained by extending Kubo's perturbational scheme of the density matrix and Zubarev's non-equilibrium statistical operator formulation. Both formulations are extended up to infinite order of an external force in compact forms and their relationship is clarified through a direct transformation.