Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in 
driven classical Markovian systems

Mandaiya, A.; Khaymovich, Ivan M.

doi:10.1088/1742-5468/ab11c1

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Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems

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Khaymovich, Ivan M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Mandaiya, A., & Khaymovich, I. M. (2019). Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems. Journal of Statistical Mechanics: Theory and Experiment, 2019: 054006. doi:10.1088/1742-5468/ab11c1.

Cite as: https://hdl.handle.net/21.11116/0000-0004-5699-F

Abstract

In this paper, we address an important question of the relationship between fluctuation theorems for the dissipated work W-d = W - Delta F with general finite-time (like Jarzynski equality and Crooks relation) and infinite-time (like Gallavotti-Cohen theorem) drive protocols and their time-reversal symmetric versions. The relations between these kinds of fluctuation relations are uncovered based on the examples of a classical Markovian N-level system. Further consequences of these relations are discussed with respect to the possible experimental verifications.