Unfying approach for fluctuation theorems from joint probability distributions

摘要

Any decomposition of the total trajectory entropy production for markovian systems have a joint probability distribution satisfying a generalized detailed fluctuation theorem, without relying in dual probability distributions, when all the contributing terms are odd with respect to time reversal. We show that several fluctuation theorems for perturbed non-equilibrium steady states are unified and arise as simple particular cases of this general result. In particular, we show that the joint probability distribution of the system and reservoir trajectory entropies satisfy a detailed fluctuation theorem valid for all times although each contribution does not do it separately.