Fundamental Relation Between Entropy Production and Heat Current

Naoto Shiraishi, Keiji Saito

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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
Pages (from-to)433-468
Number of pages36
JournalJournal of Statistical Physics
Issue number2
Publication statusPublished - 2019 Jan 30


  • Finite time thermodynamics
  • Heat engines
  • Stochastic thermodynamics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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