Application of a renormalization group algorithm to nonequilibrium cellular automata with one absorbing state
Statistical Mechanics
2009-10-31 v2
Abstract
We improve a recently proposed dynamically driven renormalization group algorithm for cellular automata systems with one absorbing state, introducing spatial correlations in the expression for the transition probabilities. We implement the renormalization group scheme considering three different approximations which take into account correlations in the stationary probability distribution. The improved scheme is applied to a probabilistic cellular automaton already introduced in the literature.
Cite
@article{arxiv.cond-mat/9801007,
title = {Application of a renormalization group algorithm to nonequilibrium cellular automata with one absorbing state},
author = {Roberto A. Monetti and Javier E. Satulovsky},
journal= {arXiv preprint arXiv:cond-mat/9801007},
year = {2009}
}
Comments
7 pages, 4 figures, to be published in Phys. Rev. E