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Reaction-diffusion lattice gas: Theory and computer results
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We report on the study of nonequilibrium ordering in the reaction-diffusion lattice gas. It is a kinetic model that relaxes towards steady states under the simultaneous competition of a thermally activated creation-annihilation $(reaction$) process at temperature T, and a diffusion process driven by a heat bath at temperature T?T. The phase diagram as one varies T and T, the system dimension d, the relative priori probabilities for the two processes, and their dynamical rates is investigated. We compare mean-field theory, new Monte Carlo data, and known exact results for some limiting cases. In particular, no evidence of Landau critical behavior is found numerically when d=2 for Metropolis rates but Onsager critical points and a variety of first-order phase transitions.
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ALONSO PEREDA, Juan josé, MARRO, Joaquín, GONZÁLEZ-MIRANDA, J. m. (jesús manuel). Reaction-diffusion lattice gas: Theory and computer results. _Physical Review e_. 1993. Vol. 47, núm. 2, pàgs. 885-898. [consulta: 22 de gener de 2026]. ISSN: 1063-651X. [Disponible a: https://hdl.handle.net/2445/18829]