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

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

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 …