Renormalization group of the Domany-Kinzel cellular automaton

Details Renormalization group of the Domany-Kinzel cellular automaton Renormalization group of the Domany-Kinzel cellular automaton

1997-01-22

arxiv.org/abs/cond-mat/9701166v1

Physics

Condensed Matter

14 pages, 2 figures

Scientific paper

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.

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