Spontaneous Emergence of Spatio-Temporal Order in Class 4 Automata

Details Spontaneous Emergence of Spatio-Temporal Order in Class 4 Automata Spontaneous Emergence of Spatio-Temporal Order in Class 4 Automata

2005-04-30

arxiv.org/abs/cond-mat/0505011v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 color figures, Proceedings Medyfinol 2004, Physica A in print

Scientific paper

10.1016/j.physa.2005.05.016

We report surprisingly regular behaviors observed for a class 4 cellular automaton, the totalistic rule 20: starting from disordered initial configurations the automaton produces patterns which are periodic not only in time but also in space. This is the first evidence that different types of spatio-temporal order can emerge under specific conditions out of disorder in the same discrete rule based algorithm.

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