Macroscopic current fluctuations in stochastic lattice gases

Details Macroscopic current fluctuations in stochastic lattice gases Macroscopic current fluctuations in stochastic lattice gases

2004-07-07

arxiv.org/abs/cond-mat/0407161v2

Phys. Rev. Lett. (2005) 94, 030601

Physics

Condensed Matter

Statistical Mechanics

4 pages, LaTeX, Changed content

Scientific paper

10.1103/PhysRevLett.94.030601

We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach to density fluctuations developed in previous articles. More precisely, we derive large deviation estimates for the space--time fluctuations of the empirical current which include the previous results. Large time asymptotic estimates for the fluctuations of the time average of the current, recently established by Bodineau and Derrida, can be derived in a more general setting. There are models where we have to modify their estimates and some explicit examples are introduced.

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