Phase transitions of extended-range probabilistic cellular automata with two absorbing states

Details Phase transitions of extended-range probabilistic cellular automata with two absorbing states Phase transitions of extended-range probabilistic cellular automata with two absorbing states

2004-05-26

arxiv.org/abs/cond-mat/0405604v2

Phys. Rev. E 71, 046108 (2005)

Physics

Condensed Matter

Statistical Mechanics

New and expanded version

Scientific paper

10.1103/PhysRevE.71.046108

We study phase transitions in a long-range one-dimensional cellular automaton with two symmetric absorbing states. It includes and extends several other models, like the Ising and Domany-Kinzel ones. It is characterized by a competing ferromagnetic linear coupling and an antiferromagnetic nonlinear one. Despite its simplicity, this model exhibits an extremely rich phase diagram. We present numerical results and mean-field approximations.

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