Speed Limit for Classical Stochastic Processes

Naoto Shiraishi, Ken Funo, Keiji Saitou

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume121
Issue number7
DOIs
Publication statusPublished - 2018 Aug 15

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stochastic processes
entropy
Markov processes
thermodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Speed Limit for Classical Stochastic Processes. / Shiraishi, Naoto; Funo, Ken; Saitou, Keiji.

In: Physical Review Letters, Vol. 121, No. 7, 070601, 15.08.2018.

Research output: Contribution to journalArticle

Shiraishi, Naoto ; Funo, Ken ; Saitou, Keiji. / Speed Limit for Classical Stochastic Processes. In: Physical Review Letters. 2018 ; Vol. 121, No. 7.
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