Dynamical fluctuations for semi-Markov processes

Abstract

We develop an Onsager-Machlup-type theory for nonequilibrium semi-Markov processes. Our main result is an exact large time asymptotics for the joint probability of the occupation times and the currents in the system, establishing some generic large deviation structures. We discuss in detail how the nonequilibrium driving and the non-exponential waiting time distribution influence the occupation-current statistics. The violation of the Markov condition is reflected in the emergence of a new type of nonlocality in the fluctuations. Explicit solutions are obtained for some examples of driven random walks on the ring.

Minor changes, accepted for publication in Journal of Physics A

References in corpus (7)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
• Steady state statistics of driven diffusions
• Cumulants and large deviations of the current through non-equilibrium steady states
• Continuous time random walk for open systems: Fluctuation theorems and counting statistics
• Computation of current cumulants for small nonequilibrium systems
• Static and dynamical nonequilibrium fluctuations

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