Phys. Rev. E 55, 4000–4004 (1997)Renormalization group of the Domany-Kinzel cellular automaton
We 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. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.55.4000
DOI:
10.1103/PhysRevE.55.4000
PACS:
64.60.Ak, 02.50.-r, 05.40.+j
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