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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18829
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 and GONZÁLEZ-MIRANDA, J. M. (Jesús Manuel). Reaction-diffusion lattice gas: Theory and computer results. Physical Review e. 1993. Vol. 47, num. 2, pags. 885-898. ISSN 1063-651X. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/18829