Fundamental Relation Between Entropy Production and Heat Current

Naoto Shiraishi, Keiji Saitou

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large entropy production in a quantitative form. More specifically, we prove two inequalities on instantaneous quantities: one is applicable to general Markov processes induced by heat baths, and the other is applicable only to systems with the local detailed-balance condition but is stronger than the former one. We demonstrate the physical meaning of our result by applying to some specific setups. In particular, we show that our inequality is tight in the linear response regime.

Original languageEnglish
JournalJournal of Statistical Physics
DOIs
Publication statusAccepted/In press - 2018 Jan 1

Fingerprint

Fundamental Relation
Markov processes
Entropy Production
Markov Process
baths
Heat
energy transfer
entropy
heat
Detailed Balance
Heat Bath
Linear Response
Energy
Instantaneous
Demonstrate
Form
Meaning

Keywords

  • Finite time thermodynamics
  • Heat engines
  • Stochastic thermodynamics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Fundamental Relation Between Entropy Production and Heat Current. / Shiraishi, Naoto; Saitou, Keiji.

In: Journal of Statistical Physics, 01.01.2018.

Research output: Contribution to journalArticle

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