REACTION-DIFFUSION LATTICE GAS - THEORY AND COMPUTER RESULTS

Citation
Jj. Alonso et al., REACTION-DIFFUSION LATTICE GAS - THEORY AND COMPUTER RESULTS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(2), 1993, pp. 885-898
Citations number
27
ISSN journal
1063651X
Volume
47
Issue
2
Year of publication
1993
Pages
885 - 898
Database
ISI
SICI code
1063-651X(1993)47:2<885:RLG-TA>2.0.ZU;2-K
Abstract
We report on the study of nonequilibrium ordering in the reaction-diff usion lattice gas. It is a kinetic model that relaxes towards steady s tates under the simultaneous competition of a thermally activated crea tion-annihilation (reaction) process at temperature T, and a diffusion process driven by a heat bath at temperature T' not-equal T. The phas e diagram as one varies T and T', the system dimension d, the relative a priori probabilities for the two processes, and their dynamical rat es is investigated. We compare mean-field theory, new Monte Carlo data , and known exact results for some limiting cases. In particular, no e vidence of Landau critical behavior is found numerically when d = 2 fo r Metropolis rates but Onsager critical points and a variety of first- order phase transitions.