Universality change in stochastic cellular automaton with applied site exchange

Géza Ador, György Szabó

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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.

Original languageEnglish
Pages (from-to)R3555-R3557
JournalPhysical Review E
Volume49
Issue number5
DOIs
Publication statusPublished - Jan 1 1994

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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