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Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics

R. J. Harris·A. Rákos·G. M. Schuetz
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Abstract

We consider the behaviour of current fluctuations in the one-dimensional partially asymmetric zero-range process with open boundaries. Significantly, we find that the distribution of large current fluctuations does not satisfy the Gallavotti-Cohen symmetry and that such a breakdown can generally occur in systems with unbounded state space. We also discuss the dependence of the asymptotic current distribution on the initial state of the system.

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R. J. Harris, A. Rákos, G. M. Schuetz. 2006-06-15. Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics. https://doi.org/10.1209/epl%2Fi2006-10102-1

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