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Philosophical Magazine Volume 84, 2004 - Issue 8
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Original Articles

Dynamical phase transitions in one-dimensional stochastic cellular automata

Krastan B. Blagoev Theoretical Division, T-11, Los Alamos National Laboratory, Los Alamos, New Mexico, USA
&
Luc T. Wille Department of Physics, Florida Atlantic University, Boca Raton, Florida 33431, USA
Pages 835-841 | Received 03 Jan 2003, Accepted 03 Apr 2003, Published online: 02 Sep 2006
 
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Abstract

We study the influence of dynamic noise and disorder on the evolution of a chaotic cellular automaton model. Three distinct phases are identified corresponding to ordered, random and damage spreading evolution. The time evolution of the associated order parameters is investigated and the critical exponents are calculated close to the phase transition.

Acknowledgement

We would like to thank A. J. Mandell, J. B. McGuire and D. Sherrington for useful discussions on this and related topics.

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