Heat fluctuations for underdamped Langevin dynamics
1 Laboratoire de Physique Théorique de la Matière Condensée, CNRS-UMR 7600, Université Pierre et Marie Curie 4 place Jussieu, Paris Cedex 05, France
2 Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University Kyoto 606-8501, Japan
Received: 16 November 2015
Accepted: 11 January 2016
Fluctuation theorems play a central role in nonequilibrium physics and stochastic thermodynamics. Here we derive an integral fluctuation theorem for the dissipated heat in systems governed by an underdamped Langevin dynamics. We show that this identity may be used to predict the occurrence of extreme events leading to exponential tails in the probability distribution functions of the heat and related quantities.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.20.-y – Classical statistical mechanics
© EPLA, 2016