Spontaneous Emergence of Spatio-Temporal Order in Class 4 Automata
Statistical Mechanics
2009-11-11 v1 Disordered Systems and Neural Networks
Abstract
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.
Cite
@article{arxiv.cond-mat/0505011,
title = {Spontaneous Emergence of Spatio-Temporal Order in Class 4 Automata},
author = {Jason A. C. Gallas and Hans J. Herrmann},
journal= {arXiv preprint arXiv:cond-mat/0505011},
year = {2009}
}
Comments
5 pages, 6 color figures, Proceedings Medyfinol 2004, Physica A in print