Artículos de revistas
An extinction-survival-type phase transition in the probabilistic cellular automaton p182-q200
Fecha
2011Registro en:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.44, n.15, 2011
1751-8113
10.1088/1751-8113/44/15/155001
Autor
Mendonca, Jose Ricardo Goncalves de
Oliveira, Mario Jose de
Institución
Resumen
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 parameter 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.