Abstract
The one-dimensional elementary cellular automaton “Rule 22” is studied by means of Monte Carlo simulation on the dedicated K2 high-speed computer. If one considers random initialization with probability p for “one”-initialization per site, it is shown that the system behaves like a normal one-dimensional statistical ensemble with critical points atp=0 andp=1. Critical slowing down is exhibited, with a dynamical exponent of 1.0. The standard initialization ofp=0.5 is too far away from the critical point to allow similar observations.
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Zabolitzky, J.G. Critical properties of Rule 22 elementary cellular automata. J Stat Phys 50, 1255–1262 (1988). https://doi.org/10.1007/BF01019164
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DOI: https://doi.org/10.1007/BF01019164