Estimation of the order parameter exponent of critical cellular automata using the enhanced coherent anomaly method.

preprint1995arXivOpen access

Abstract

The stochastic cellular automaton of Rule 18 defined by Wolfram [Rev. Mod. Phys. 55 601 (1983)] has been investigated by the enhanced coherent anomaly method. Reliable estimate was found for the ββ critical exponent, based on moderate sized (n≤7n \le 7) clusters.

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