Large deviations in weakly interacting boundary driven lattice gases

Abstract

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.

27 pages, 2 figures

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Cited by in corpus (16)

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• Current fluctuations in the zero-range process with open boundaries
• Cumulants and large deviations of the current through non-equilibrium steady states
• Fluctuations of Current in Non-Stationary Diffusive Lattice Gases
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Current fluctuations in stochastic systems with long-range memory
• Computation of current cumulants for small nonequilibrium systems
• Energy flux distribution in a two-temperature Ising model
• Current distribution in systems with anomalous diffusion: renormalisation group approach
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
• Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study
• Shepherd Model for Knot-Limited Polymer Ejection from a Capsid
• Finite size corrections to the large deviation function of the density in the one dimensional symmetric simple exclusion process