Renormalization group of probabilistic cellular automata with one absorbing state

Details Renormalization group of probabilistic cellular automata with one absorbing state Renormalization group of probabilistic cellular automata with one absorbing state

1996-11-08

arxiv.org/abs/adap-org/9611004v2

Physics

Condensed Matter

Statistical Mechanics

Errors in some formulas have been corrected. Additional material available at http://mestre.if.usp.br/~javier

Scientific paper

10.1103/PhysRevE.55.6377

We apply a recently proposed dynamically driven renormalization group scheme to probabilistic cellular automata having one absorbing state. We have found just one unstable fixed point with one relevant direction. In the limit of small transition probability one of the cellular automata reduces to the contact process revealing that the cellular automata are in the same universality class as that process, as expected. Better numerical results are obtained as the approximations for the stationary distribution are improved.

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