A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes

Details A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes

2011-09-12

arxiv.org/abs/1109.2517v2

J. Stat. Phys. 146, 294-313 (2012)

Physics

Condensed Matter

Statistical Mechanics

18 pages, 8 figures

Scientific paper

10.1007/s10955-011-0389-2

We investigate a new symmetry of the large deviation function of certain time-integrated currents in non-equilibrium systems. The symmetry is similar to the well-known Gallavotti-Cohen-Evans-Morriss-symmetry for the entropy production, but it concerns a different functional of the stochatic trajectory. The symmetry can be found in a restricted class of Markov jump processes, where the network of microscopic transitions has a particular structure and the transition rates satisfy certain constraints. We provide three physical examples, where time-integrated observables display such a symmetry. Moreover, we argue that the origin of the symmetry can be traced back to time-reversal if stochastic trajectories are grouped appropriately.

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