Large deviations in weakly interacting boundary driven lattice gases

• Published in: Journal of statistical physics Vol. 118; no. 1-2; pp. 27 - 54
• Main Authors: VAN WIJLAND, Frederic, RACZ, Zoltan
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 2005; Springer Verlag
• Subjects: Condensed Matter; Exact sciences and technology; Physics; Statistical Mechanics; Statistical physics, thermodynamics, and nonlinear dynamical systems; Nonequilibrium steady states; large deviations; boundary driven systems; driven lattice gas; open systems; Long-range order; nonequilibrium fluctuations; Correlation functions; Free energy; Lattice gas; Large deviation; current fluctuations; Dynamics; First order; long-ranged correlations; Current distribution
• ISSN: 0022-4715; 1572-9613
• DOI: 10.1007/s10955-004-8776-6

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.