Non equilibrium current fluctuations in stochastic lattice gases
arXiv:cond-mat/0506664 · doi:10.1007/s10955-006-9056-4
Abstract
We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach for density fluctuations developed in previous articles. More precisely, we establish a large deviation principle for a space-time fluctuation of the empirical current with a rate functional $\mc I (j)$. We then estimate the probability of a fluctuation of the average current over a large time interval; this probability can be obtained by solving a variational problem for the functional $\mc I $. We discuss several possible scenarios, interpreted as dynamical phase transitions, for this variational problem. They actually occur in specific models. We finally discuss the time reversal properties of $\mc I$ and derive a fluctuation relationship akin to the Gallavotti-Cohen theorem for the entropy production.
36 Pages, No figure
References in corpus (4)
Cited by in corpus (130)
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