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
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.