The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes
- 1 September 2007
- journal article
- Published by IOP Publishing in Journal of Statistical Mechanics: Theory and Experiment
- Vol. 2007 (9), L09002
- https://doi.org/10.1088/1742-5468/2007/09/l09002
Abstract
We prove the Jarzynski relation for general stochastic processes including non-Markovian systems with memory. The only requirement for our proof is the existence of a stationary state, therefore excluding non-ergodic systems. We then show how the concepts of stochastic thermodynamics can be used to prove further exact non-equilibrium relations like the Crooks relation and the fluctuation theorem on entropy production for non-Markovian dynamics.Keywords
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