Phase transitions of extended-range probabilistic cellular automata with two absorbing states
Statistical Mechanics
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0405604,
title = {Phase transitions of extended-range probabilistic cellular automata with two absorbing states},
author = {F. Bagnoli and F. Franci and R. Rechtman},
journal= {arXiv preprint arXiv:cond-mat/0405604},
year = {2007}
}
Comments
New and expanded version