Renormalization group of the Domany-Kinzel cellular automaton
Condensed Matter
2007-05-23 v1
Abstract
We apply the dinamically driven renormalization group to study the critical properties of the Domany-Kinzel probabilistic cellular automaton. To preserve the absorbing state clusters with at least one site occupied are renormalized into a one occupied site and clusters with all sites empty are renormalized into a one empty site. We have obtained the phase diagram as well as the critical exponent related to the spatial correlation length.
Keywords
Cite
@article{arxiv.cond-mat/9701166,
title = {Renormalization group of the Domany-Kinzel cellular automaton},
author = {Tânia Tomé and Mário J. de Oliveira},
journal= {arXiv preprint arXiv:cond-mat/9701166},
year = {2007}
}
Comments
14 pages, 2 figures