Critical Properties of Stochastic Cellular Automata}

Stam Nicolis

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arXiv · cond-mat/9406005

Critical Properties of Stochastic Cellular Automata}

Stam Nicolis

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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.

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Stam Nicolis. 1994-06-01. Critical Properties of Stochastic Cellular Automata}. https://arxiv.org/abs/cond-mat/9406005

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