Preprint Article Version 1 This version is not peer-reviewed

Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned at a Coupled-Microstates

Version 1 : Received: 29 March 2019 / Approved: 3 April 2019 / Online: 3 April 2019 (11:39:48 CEST)

A peer-reviewed article of this Preprint also exists.

Jinwoo, L. Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates. Entropy 2019, 21, 477. Jinwoo, L. Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates. Entropy 2019, 21, 477.

Journal reference: Entropy 2019, 21, 477
DOI: 10.3390/e21050477

Abstract

Fluctuation theorems are a class of equalities each of which links a thermodynamic path functional such as heat and work to a state function such as entropy and free energy. Jinwoo and Tanaka [L. Jinwoo and H. Tanaka, Sci. Rep. 5, 7832 (2015)] have shown that each microstate of a fluctuating system can be regarded as an ensemble (or a 'macrostate') if we consider trajectories that reach each microstate. They have revealed that local forms of entropy and free energy are true thermodynamic potentials of each microstate, encoding heat, and work, respectively, within an ensemble of paths that reach each state. Here we show that information that is characterized by the local form of mutual information between two subsystems in a heat bath is also a true thermodynamic potential of each coupled state and encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange [T. Sagawa and M. Ueda, Phys. Rev. Lett. 109, 180602 (2012)] by showing that the fluctuation theorem holds even within an ensemble of paths that reach a coupled state during dynamic co-evolution of two subsystems.

Subject Areas

local non-equilibrium thermodynamics, fluctuation theorem, mutual information, entropy production, local mutual information, thermodynamics of information, stochastic thermodynamics

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