
Renormalization group of the Domany-Kinzel cellular automaton
1997; American Physical Society; Volume: 55; Issue: 4 Linguagem: Inglês
10.1103/physreve.55.4000
ISSN1538-4519
AutoresTânia Tomé, Mário J. de Oliveira,
Tópico(s)Stochastic processes and statistical mechanics
ResumoWe apply the dynamically 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 one occupied site and clusters with all sites empty are renormalized into 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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