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Dynamical Large Deviations for a Boundary Driven Stochastic Lattice Gas Model with Many Conserved Quantities

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Abstract

We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The dynamics we considered consists of a weakly asymmetric simple exclusion process with collision among particles having different velocities.

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Authors and Affiliations

  1. IMPA, Estrada Dona Castorina 110, J. Botânico, 22460-320, Rio de Janeiro, Brazil

    Jonathan Farfan, Alexandre B. Simas & Fábio J. Valentim

  2. IMCA, Calle los Biólogos 245, Urb. San César Primera Etapa, Lima 12, Peru

    Jonathan Farfan

  3. CEUNES, Universidade Federal do Espirito Santo, Rodovia BR 101 Norte, Km. 60, Bairro Litorâneo, CEP 29932-540, São Mateus, ES, Brazil

    Fábio J. Valentim

Authors
  1. Jonathan Farfan
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  2. Alexandre B. Simas
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  3. Fábio J. Valentim
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Correspondence to Alexandre B. Simas.

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Research supported by CNPq.

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Farfan, J., Simas, A.B. & Valentim, F.J. Dynamical Large Deviations for a Boundary Driven Stochastic Lattice Gas Model with Many Conserved Quantities. J Stat Phys 139, 658–685 (2010). https://doi.org/10.1007/s10955-010-9957-0

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  • DOI: https://doi.org/10.1007/s10955-010-9957-0

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