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Dynamic exponents of a probabilistic three-state cellular automaton

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  • da Silva, Roberto
  • Alves, Nelson

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].

Suggested Citation

  • da Silva, Roberto & Alves, Nelson, 2005. "Dynamic exponents of a probabilistic three-state cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 263-276.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:263-276
    DOI: 10.1016/j.physa.2004.11.052
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    References listed on IDEAS

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    1. Grassberger, Peter & Yi-Cheng Zhang,, 1996. "“Self-organized” formulation of standard percolation phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 169-179.
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    1. da Silva, Roberto & Bazzan, Ana L.C. & Baraviera, Alexandre T. & Dahmen, Sílvio R., 2006. "Emerging collective behavior and local properties of financial dynamics in a public investment game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 610-626.

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