The Three Faces of the Second Law: II. Fokker-Planck Formulation

TL;DR

This paper explores the decomposition of total entropy production into adiabatic and nonadiabatic parts for continuous Markov processes, providing explicit formulas, analyzing their properties, and illustrating with solvable models.

Contribution

It introduces explicit expressions for adiabatic and nonadiabatic entropy production in Markov processes and discusses their properties and behaviors.

Findings

Explicit formulas for entropy production components

Properties of adiabatic and nonadiabatic contributions

Illustrations using exactly solvable models

Abstract

The total entropy production is the sum of two contributions, the so-called adiabatic and nonadiabatic entropy production, each of which is non-negative. We derive their explicit expressions for continuous Markov processes, discuss their properties and illustrate their behavior on two exactly solvable models.