Dynamical phase transitions in one-dimensional stochastic cellular automata

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.