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Article Dans Une Revue Journal of Statistical Physics Année : 2011

Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale

Résumé

In the context of Markov evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a family of exponential martingales functionals. We show that GFDT are perturbative versions of relations verified by these exponential martingales. Along the way, we prove GFDT and Fluctuation Relations (FR) for general Markov processes, beyond the usual proof for diffusion and pure jump processes. Finally, we relate the FR to a family of backward and forward exponential martingales.
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Dates et versions

hal-00915480 , version 1 (08-12-2013)

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Raphael Chetrite, Shamik Gupta. Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale. Journal of Statistical Physics, 2011, 143, pp.543-584. ⟨10.1007/s10955-011-0184-0⟩. ⟨hal-00915480⟩
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