A generalized work theorem shows exponentiated entropy production is a martingale conditional on any fixed initial state, for arbitrary backward processes, in both overdamped and underdamped Langevin systems.
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Martingale properties of entropy production and a generalized work theorem with decoupled forward and backward processes
A generalized work theorem shows exponentiated entropy production is a martingale conditional on any fixed initial state, for arbitrary backward processes, in both overdamped and underdamped Langevin systems.