Critical Properties of Stochastic Cellular Automata}

Abstract

We study the effect of mixing two rules on the dynamics of one-dimensional cellular automata by large scale numerical simulations. We calculate the decay of the magnetization for the Domany-Kinzel automaton (XOR/AND mixing) to its equilibrium value in the three phases. This requires system sizes in excess of 1 million sites. We also find severe finite size effects near the new critical points recently proposed on the basis of transfer matrix arguments.

5 pages LATeX+4 figures (LATeX+PostScript) included in a uuencoded, compressed tar file, appended after \end{document}, CPT-94/P.3037