Crystallisation of Two-Dimensional Cellular Automata Tomoaki Suzudo
Abstract
	The cellular automata Ê(CAs) which asymptotically lead to uniform regular patterns, namely crystalline CAs are discussed. The two-dimensional and two-states-per-cell CAs with five neighbour structure are particularly focused. First, various CA evolution patterns are analysed by the entropy Êfunction, and it is suggested that there are two types of CAs with static or chaotic Êevolution. Analyses using a newly-introduced rule parameter, called parameter, ensure that the crystalline CAs appear at the phase transition point between static and chaotic CAs. The observed phenomena are probably considered as a generalised model of liquid/solid phase transition.

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