Monte Carlo study of the generalized reaction-diffusion lattice-gas model system |
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Authors: | J. M. González-Miranda J. Marro |
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Affiliation: | (1) Departamento de Física Fundamental, Facultad de Física, Universidad de Barcelona, E-08028 Barcelona, Spain;(2) Departamento de Física Aplicada, Facultad de Ciencias, Universidad de Granada, E-18071 Granada, Spain |
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Abstract: | The reaction-diffusion lattice-gas model is an interacting particle system out of equilibrium whose microscopic dynamics is a combination of Glauber (reaction) and Kawasaki (diffusion) processes; the Glauber ratec(s; x) at sitex when the configuration iss satisfies detailed balance at temperatureT, while the Kawasaki ratec(s; x, y) between nearest-neighbor sitesx andy satisfies detailed balance at a different temperatureT. We report on the phase diagram of that system as obtained from a series of Monte Carlo simulations of steady states in two-dimensional lattices with arbitrary values forT,T, and; this generalizes previous analytical and numerical studies for and/orT. When the rates are implemented by the Metropolis algorithm, the system is observed to undergo various types of first- and second-order (nonequilibrium) phase transitions, e.g., one may identify Onsager (equilibrium) as well as Landau (mean-field) types of continuous phase transitions.Dedicated to Joel L. Lebowitz on the occasion of his 60th birthday. |
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Keywords: | Nonequilibrium steady states reaction-diffusion stochastic models competing dynamics nonequilibrium phase transitions Monte Carlo simulations |
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