Invariance of steady-state thermodynamics between different scales of description

Yohei Nakayama, Kyogo Kawaguchi

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

By considering general Markov stochastic dynamics and its coarse graining, we study the framework of stochastic thermodynamics for the original and reduced descriptions corresponding to different scales. We are especially concerned with the case where the irreversible entropy production has a finite difference between the scales. We find that the sum of the increment of the nonequilibrium entropy and the excess part of the entropy production, which are key quantities in the construction of steady-state thermodynamics, is essentially kept invariant with respect to the change in the scales of description. This general result justifies experimental approaches toward steady-state thermodynamics based on coarse-grained variables. We demonstrate our result in a mesoscopic heat engine system.

Original languageEnglish
Article number012115
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume91
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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