Extended mean-field study of a stochastic cellular automaton

G. Szabó, Géza Dor

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Extended mean-field theory is used for studying the one-dimensional stochastic cellular automaton with Rule 18 defined by Wolfram [Rev. Mod. Phys. 55, 601 (1983)]. The analysis is carried out at different levels taking n-point and n-pair correlations explicitly into consideration. The pair approximations reproduce the exact results in the deterministic limit. The critical behavior is studied by the Padé approximant method and the predicted critical probability and exponent agree with previous data within a few percent.

Original languageEnglish
Pages (from-to)2764-2768
Number of pages5
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume49
Issue number4
DOIs
Publication statusPublished - 1994

Fingerprint

Pair Approximation
Critical Probability
Field Study
Mean-field Theory
cellular automata
Exact Results
Critical Behavior
Cellular Automata
Mean Field
Critical Exponents
Percent
tungsten
exponents
approximation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Extended mean-field study of a stochastic cellular automaton. / Szabó, G.; Dor, Géza.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 49, No. 4, 1994, p. 2764-2768.

Research output: Contribution to journalArticle

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