Fluctuation theorem for partially masked nonequilibrium dynamics

Naoto Shiraishi and Takahiro Sagawa
Phys. Rev. E 91, 012130 – Published 16 January 2015

Abstract

We establish a generalization of the fluctuation theorem for partially masked nonequilibrium dynamics. We introduce a partial entropy production with a subset of all possible transitions, and show that the partial entropy production satisfies the integral fluctuation theorem. Our result reveals the fundamental properties of a broad class of autonomous as well as nonautonomous nanomachines. In particular, our result gives a unified fluctuation theorem for both autonomous and nonautonomous Maxwell's demons, where mutual information plays a crucial role. Furthermore, we derive a fluctuation-dissipation theorem that relates nonequilibrium stationary current to two kinds of equilibrium fluctuations.

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  • Received 17 March 2014
  • Revised 25 September 2014

DOI:https://doi.org/10.1103/PhysRevE.91.012130

©2015 American Physical Society

Authors & Affiliations

Naoto Shiraishi and Takahiro Sagawa

  • Department of Basic Science, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan

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Issue

Vol. 91, Iss. 1 — January 2015

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