EXTENDED MEAN-FIELD STUDY OF A STOCHASTIC CELLULAR-AUTOMATON

Authors
SZABO G ODOR G
Citation
G. Szabo et G. Odor, EXTENDED MEAN-FIELD STUDY OF A STOCHASTIC CELLULAR-AUTOMATON, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 2764-2768
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
4
Year of publication
1994
Part
A
Pages
2764 - 2768
Database
ISI
SICI code
1063-651X(1994)49:4<2764:EMSOAS>2.0.ZU;2-4
Abstract
Extended mean-field theory is used for studying the one-dimensional st ochastic cellular automaton with Rule 18 defined by Wolfram [Rev. Mod. Phys. 55, 601 (1983)]. The analysis is carried out at different level s taking n-point and n-pair correlations explicitly into consideration . The pair approximations reproduce the exact results in the determini stic limit. The critical behavior is studied by the Pade approximant m ethod and the predicted critical probability and exponent agree with p revious data within a few percent.