arXiv:cond-mat/9705171 Abstract

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Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States

Published 1997-05-17, updated 1997-05-20Version 2

We study the phase diagram and the critical behavior of a one-dimensional radius-1 two-state totalistic probabilistic cellular automaton having two absorbing states. This system exhibits a first-order phase transition between the fully occupied state and the empty state, two second-order phase transitions between a partially occupied state and either the fully occupied state or the empty state, and a second-order damage-spreading phase transition. It is found that all the second-order phase transitions have the same critical behavior as the directed percolation model. The mean-field approximation gives a rather good qualitative description of all these phase transitions.

Comments: 7 pages, RevTeX, 10 figures, submitted to J. Phys. A

Categories: cond-mat.stat-mech, comp-gas, nlin.CG

Keywords: absorbing states, second-order phase transitions, two-state totalistic probabilistic cellular automaton, fully occupied state, empty state

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