Probabilistic methods in statistical physics for extreme statistics and rare events

poster: Marginal reversal of Markov jump processes - with applications to thermodynamics

speaker: Matteo Polettini (University of Luxembourg)

abstract: It is well known that time reversal of a continuous time, discrete-state space Markov jump process is associated to the second law of thermodynamics via the so-called fluctuation relation. By making use of techniques from Large Deviation Theory, in this poster we discuss a class of "marginally time-reversed" Markov processes where somehow the dynamics is only inverted in a portion of the configuration space. We discuss symmetries of the scaled cumulant generating functions of the stochastic currents and their thermodynamic interpretation.

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