Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes

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.

Accepted for publication in JSM

References in corpus (2)

• Distribution of work in isothermal non-equilibrium processes
• Work probability distribution in single molecule experiments

Cited by in corpus (1)

• Current fluctuations in stochastic systems with long-range memory