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LETTER

The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes

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Published 26 September 2007 IOP Publishing Ltd
, , Citation T Speck and U Seifert J. Stat. Mech. (2007) L09002 DOI 10.1088/1742-5468/2007/09/L09002

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.

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10.1088/1742-5468/2007/09/L09002