Critical Properties of Stochastic Cellular Automata}
Condensed Matter
2007-05-23 v1
Abstract
We study the effect of mixing two rules on the dynamics of one-dimensional cellular automata by large scale numerical simulations. We calculate the decay of the magnetization for the Domany-Kinzel automaton (XOR/AND mixing) to its equilibrium value in the three phases. This requires system sizes in excess of 1 million sites. We also find severe finite size effects near the new critical points recently proposed on the basis of transfer matrix arguments.
Keywords
Cite
@article{arxiv.cond-mat/9406005,
title = {Critical Properties of Stochastic Cellular Automata}},
author = {Stam Nicolis},
journal= {arXiv preprint arXiv:cond-mat/9406005},
year = {2007}
}
Comments
5 pages LATeX+4 figures (LATeX+PostScript) included in a uuencoded, compressed tar file, appended after \end{document}, CPT-94/P.3037