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Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States | | F. Bagnoli
; N. Boccara
; P. Palmerini
; | | Date: |
17 May 1997 | | Subject: | Statistical Mechanics; Cellular Automata and Lattice Gases | cond-mat.stat-mech comp-gas nlin.CG | | Abstract: | 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. | | Source: | arXiv, cond-mat/9705171 | | Services: | Forum | Review | PDF | Favorites | |
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