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

Time-reversal symmetric Crooks and Gallavotti–Cohen fluctuation relations in driven classical Markovian systems
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驱动经典马尔可夫系统中的时间反演对称 Crooks 和 GallavottiâCohen 涨落关系

DOI:
10.1088/1742-5468/ab11c1
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发表时间:
2019
期刊:
Journal of Statistical Mechanics: Theory and Experiment
影响因子:
--
通讯作者:
I. M. Khaymovich
I. M. Khaymovich
中科院分区:
--
文献类型:
--
作者:
A. Mandaiya;I. M. Khaymovich

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本文讨论了一般有限时间(如Jarzynski等式和Crooks关系)和无限时间(如Gallavotti-Cohen定理)驱动协议的耗散功涨落定理与它们的时间反转对称版本之间的关系。以一个经典马尔可夫n级系统为例,揭示了这两种涨落关系之间的关系。这些关系的进一步结果讨论了可能的实验验证。
In this paper, we address an important question of the relationship between fluctuation theorems for the dissipated work 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.
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