Time-Symmetric Current and Its Fluctuation Response Relation around Nonequilibrium Stalling Stationary State

Naoto Shiraishi
Phys. Rev. Lett. 129, 020602 – Published 5 July 2022
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Abstract

We propose a time-symmetric counterpart of the current in stochastic thermodynamics named the time-symmetric current. This quantity is defined with empirical measures and thus is symmetric under time reversal, while its ensemble average reproduces the amount of the average current. We prove that this time-symmetric current satisfies the fluctuation-response relation in the conventional form but with sign inversion. Remarkably, this fluctuation-response relation holds not only around equilibrium states but also around nonequilibrium stationary states if observed currents stall. The obtained relation also serves as an experimental tool for probing the value of a bare transition rate by measuring only time-integrated empirical measures.

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  • Received 25 November 2021
  • Revised 15 April 2022
  • Accepted 13 June 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.020602

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Naoto Shiraishi

  • Department of Physics, Gakushuin University, 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan

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Issue

Vol. 129, Iss. 2 — 8 July 2022

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