Speed Limit for Classical Stochastic Processes

Naoto Shiraishi, Ken Funo, Keiji Saito

Research output: Contribution to journalArticlepeer-review

113 Citations (Scopus)


We consider the speed limit for classical stochastic Markov processes with and without the local detailed balance condition. We find that, for both cases, a trade-off inequality exists between the speed of the state transformation and the entropy production. The dynamical activity is related to a time scale and plays a crucial role in the inequality. For the dynamics without the local detailed balance condition, we use the Hatano-Sasa entropy production instead of the standard entropy production. Our inequalities consist of the quantities that are commonly used in stochastic thermodynamics and explicitly show underlying physical mechanisms.

Original languageEnglish
Article number070601
JournalPhysical review letters
Issue number7
Publication statusPublished - 2018 Aug 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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