Universality change in stochastic cellular automaton with applied site exchange

Géza Ador, G. Szabó

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1 Citation (Scopus)

Abstract

Extended mean-field theory is used for studying the effect of nonlocal site exchange on the critical transition of the one-dimensional, stochastic cellular automaton of Rule 18 defined by Wolfram [Rev. Mod. Phys. 55, 6011 (1993)]. The analysis is carried out at different levels taking n-point correlations explicitly into consideration. Extrapolation to the n→ (exact) limit gives results, which agree well with simulation. By applying nonlocal site-exchange mixing the universality of the transition changes and a continuous crossover of critical point and β exponent is observed.

Original languageEnglish
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume49
Issue number5
DOIs
Publication statusPublished - 1994

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cellular automata
Cellular Automata
Universality
Mean-field Theory
Extrapolation
Critical Exponents
Crossover
extrapolation
Critical point
critical point
crossovers
tungsten
exponents
Simulation
simulation

ASJC Scopus subject areas

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

Cite this

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abstract = "Extended mean-field theory is used for studying the effect of nonlocal site exchange on the critical transition of the one-dimensional, stochastic cellular automaton of Rule 18 defined by Wolfram [Rev. Mod. Phys. 55, 6011 (1993)]. The analysis is carried out at different levels taking n-point correlations explicitly into consideration. Extrapolation to the n→ (exact) limit gives results, which agree well with simulation. By applying nonlocal site-exchange mixing the universality of the transition changes and a continuous crossover of critical point and β exponent is observed.",
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