RENORMALIZATION-GROUP OF PROBABILISTIC CELLULAR-AUTOMATA WITH ONE ABSORBING STATE

Citation
Mj. Deoliveira et Je. Satulovsky, RENORMALIZATION-GROUP OF PROBABILISTIC CELLULAR-AUTOMATA WITH ONE ABSORBING STATE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6377-6383
Citations number
13
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
6
Year of publication
1997
Part
A
Pages
6377 - 6383
Database
ISI
SICI code
1063-651X(1997)55:6<6377:ROPCWO>2.0.ZU;2-2
Abstract
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 directio n. In the limit of small transition probability one of the cellular au tomata reduces to the contact process, revealing that the cellular aut omata are in the same universality class as that process, as expected. Better numerical results are obtained as the approximations for the s tationary distribution are improved.