Universality class of a one-dimensional cellular automaton

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31 Citations (Scopus)

Abstract

Recently, Bidaux, Boccara, and Chaté [Phys. Rev. A 39, 3094 (1989)], introduced a probabilistic cellular automaton whose one-dimensional version exhibits a continuous transition to an absorbing state. Steady-state simulations gave critical exponents different from those of directed percolation, a surprising result, as the universality class of directed percolation is known to be very robust. I have studied the nonequilibrium critical behavior of the one-dimensional model using time-dependent Monte Carlo simulations, and determined three dynamic critical exponents, all of which are in excellent agreement with directed percolation.

Original languageEnglish
Pages (from-to)3187-3189
Number of pages3
JournalPhysical Review A
Volume43
Issue number6
DOIs
Publication statusPublished - 1 Mar 1991
Externally publishedYes

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