Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-11-26
J. Phys. A: Math. Theor. 44, 155001 (2011)
Physics
Condensed Matter
Statistical Mechanics
Typeset in LaTeX2e, 14 pages, 6 figures, references given in full format; ver. 2 corresponds to the published version
Scientific paper
10.1088/1751-8113/44/15/155001
We investigate the critical behaviour of a probabilistic mixture of cellular automata (CA) rules 182 and 200 (in Wolfram's enumeration scheme) by mean-field analysis and Monte Carlo simulations. We found that as we switch off one CA and switch on the other by the variation of the single paramenter of the model the probabilistic CA (PCA) goes through an extinction-survival-type phase transition, and the numerical data indicate that it belongs to the directed percolation universality class of critical behaviour. The PCA displays a characteristic stationary density profile and a slow, diffusive dynamics close to the pure CA 200 point that we discuss briefly. Remarks on an interesting related stochastic lattice gas are addressed in the conclusions.
de Oliveira Mario Jose
Mendonça Ricardo J. G.
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