Fundamental relation between entropy production and heat current

Naoto Shiraishi, Keiji Saito

Research output: Contribution to journalArticlepeer-review


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 detailedbalance 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 inequalities are tight in the linear response regime.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Jun 25


  • Finite time thermodynamics
  • Heat engines
  • Stochastic thermodynamics

ASJC Scopus subject areas

  • General

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