Large deviations in weakly interacting boundary driven lattice gases

Details Large deviations in weakly interacting boundary driven lattice gases Large deviations in weakly interacting boundary driven lattice gases

2004-04-15

arxiv.org/abs/cond-mat/0404358v1

Physics

Condensed Matter

Statistical Mechanics

27 pages, 2 figures

Scientific paper

One-dimensional, boundary-driven lattice gases with local interactions are studied in the weakly interacting limit. The density profiles and the correlation functions are calculated to first order in the interaction strength for zero-range and short-range processes differing only in the specifics of the detailed-balance dynamics. Furthermore, the effective free-energy (large-deviation function) and the integrated current distribution are also found to this order. From the former, we find that the boundary drive generates long-range correlations only for the short-range dynamics while the latter provides support to an additivity principle recently proposed by Bodineau and Derrida.

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