Monte Carlo study of the generalized reaction-diffusion lattice-gas model system
| ISSN: |
1572-9613
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| Keywords: |
Nonequilibrium steady states ; reaction-diffusion stochastic models ; competing dynamics ; nonequilibrium phase transitions ; Monte Carlo simulations
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Physics
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| Notes: |
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 rateΓc(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, andΓ; this generalizes previous analytical and numerical studies forΓ→∞ 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.
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| Type of Medium: |
Electronic Resource
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| URL: |