Estimation of the order-parameter exponent of critical cellular automata using the enhanced coherent anomaly method

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Abstract

The stochastic cellular automaton of rule 18 defined by S. Wolfram [Rev. Mod. Phys. 55, 601 (1983)] has been investigated by the enhanced coherent anomaly method. A reliable estimate was found for the β critical exponent, based on moderate sized (n≤7) clusters.

Original languageEnglish
Pages (from-to)6261-6262
Number of pages2
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume51
Issue number6
DOIs
Publication statusPublished - 1995

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cellular automata
Cellular Automata
Order Parameter
Critical Exponents
Anomaly
tungsten
Exponent
exponents
anomalies
estimates
Estimate

ASJC Scopus subject areas

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

Cite this

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title = "Estimation of the order-parameter exponent of critical cellular automata using the enhanced coherent anomaly method",
abstract = "The stochastic cellular automaton of rule 18 defined by S. Wolfram [Rev. Mod. Phys. 55, 601 (1983)] has been investigated by the enhanced coherent anomaly method. A reliable estimate was found for the β critical exponent, based on moderate sized (n≤7) clusters.",
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