Integral fluctuation theorems for stochastic resetting systems

Arnab Pal*, Saar Rahav

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the stochastic thermodynamics of resetting systems. Violation of microreversibility means that the well-known derivations of fluctuations theorems break down for dynamics with resetting. Despite that we show that stochastic resetting systems satisfy two integral fluctuation theorems. The first is the Hatano-Sasa relation describing the transition between two steady states. The second integral fluctuation theorem involves a functional that includes both dynamical and thermodynamic contributions. We find that the second law-like inequality found by Fuchs et al. for resetting systems [Europhys. Lett. 113, 60009 (2016)EULEEJ0295-507510.1209/0295-5075/113/60009] can be recovered from this integral fluctuation theorem with the help of Jensen's inequality.

Original languageEnglish
Article number062135
JournalPhysical Review E
Issue number6
StatePublished - 22 Dec 2017
Externally publishedYes


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