Dynamic exponents of a probabilistic three-state cellular automaton

Roberto da Silva and Nelson Alves

Physica A: Statistical Mechanics and its Applications, 2005, vol. 350, issue 2, 263-276

Abstract: In this work, a three-state cellular automaton proposed to describe part of a biological immune system is revisited. We obtain the dynamic critical exponent z of the model by means of a recent technique that mixes different initial conditions. Moreover, by using two distinct approaches, we have also calculated the global persistence exponent θg, related to the probability that the order parameter of the model does not change its sign up to time t [P(t)∝t-θg].

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:350:y:2005:i:2:p:263-276

DOI: 10.1016/j.physa.2004.11.052

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