Phase-transition study of a one-dimensional probabilistic site-exchange cellular automaton

Géza Dor, Nino Boccara, G. Szabó

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The effect of mixing on one-dimensional probabilistic cellular automaton with totalistic rule has been investigated by different methods. The evolution of system depends on two parameters, the probability p and the degree of mixing m. The two-dimensional phase space of parameters has been explored by simulation. The results are compared to multiple-point-correlation approximation. By increasing the mixing, the order of the phase transition has been found to change from second order to first order. The tricritical point has been located and estimates are given for the β exponent. Short- and long-range mixing are compared.

Original languageEnglish
Pages (from-to)3168-3171
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume48
Issue number4
DOIs
Publication statusPublished - 1993

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cellular automata
Cellular Automata
Phase Transition
Probabilistic Cellular Automata
Tricritical Point
Range of data
Two Parameters
Phase Space
Exponent
exponents
First-order
estimates
Approximation
approximation
Estimate
Simulation
simulation

ASJC Scopus subject areas

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

Cite this

Phase-transition study of a one-dimensional probabilistic site-exchange cellular automaton. / Dor, Géza; Boccara, Nino; Szabó, G.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 48, No. 4, 1993, p. 3168-3171.

Research output: Contribution to journalArticle

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