Crossover of a nonequilibrium system studied by coherent anomaly method

Abstract

In the stochastic cellular automaton of rule 18 defined by S. Wolfram [Rev.\ Mod.\ Phys.\ {\bf 55}, 601 (1983)] the crossover of the critical behaviour induced by nonlocal site exchange was investigated using the coherent anomaly method. The continuous variation of the critical $\beta$ exponent was confirmed.

6 pages RevTex + 4 figues Postscript, submitted to Phys.Rev.E