Irreversibility and Entropy Production in Transport Phenomena I

TL;DR

This paper derives the entropy production in static electric conduction from first principles, introduces new steady state schemes, and clarifies the underlying mechanisms of entropy production.

Contribution

It provides a first-principles derivation of entropy production and introduces novel steady state formulations using a relaxation-type von Neumann equation.

Findings

Second-order density matrix contributes to entropy production

Stationary temperature characterizes steady states

Mechanism of entropy production in steady states is clarified

Abstract

*First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von Neumann equation. *Stationary temperature is introduced to characterize steady states. *The mechanism of the entropy production in steady states is also clarified.