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Article Dans Une Revue Journal of Statistical Physics Année : 2005

Large deviations in weakly interacting boundary driven lattice gases

Résumé

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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hal-00012901 , version 1 (29-10-2005)

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Frederic van Wijland, Zoltan Racz. Large deviations in weakly interacting boundary driven lattice gases. Journal of Statistical Physics, 2005, 118, pp.27-54. ⟨10.1007/s10955-004-8776-6⟩. ⟨hal-00012901⟩
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