Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1984-02

AUTHORS

Sheldon Katz, Joel L. Lebowitz, Herbert Spohn

ABSTRACT

We investigate theoretically and via computer simulation the stationary nonequilibrium states of a stochastic lattice gas under the influence of a uniform external fieldE. The effect of the field is to bias jumps in the field direction and thus produce a current carrying steady state. Simulations on a periodic 30 × 30 square lattice with attractive nearest-neighbor interactions suggest a nonequilibrium phase transition from a disordered phase to an ordered one, similar to the para-to-ferromagnetic transition in equilibriumE=0. At low temperatures and largeE the system segregates into two phases with an interface oriented parallel to the field. The critical temperature is larger than the equilibrium Onsager value atE=0 and increases with the field. For repulsive interactions the usual equilibrium phase transition (ordering on sublattices) is suppressed. We report on conductivity, bulk diffusivity, structure function, etc. in the steady state over a wide range of temperature and electric field. We also present rigorous proofs of the Kubo formula for bulk diffusivity and electrical conductivity and show the positivity of the entropy production for a general class of stochastic lattice gases in a uniform electric field. More... »

PAGES

497-537

References to SciGraph publications

  • 1976-10. Applications of the stochastic Ising model to the Gibbs states in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1976-10. High-temperature analyticity in classical lattice systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1977. The stochastic evolution of infinite systems of interacting particles in ECOLE D’ETÉ DE PROBABILITÉS DE SAINT-FLOUR VI-1976
  • Journal

    TITLE

    Journal of Statistical Physics

    ISSUE

    3-4

    VOLUME

    34

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01018556

    DOI

    http://dx.doi.org/10.1007/bf01018556

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1013126093


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