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

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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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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/95838

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0405604
 http://arxiv.org/abs/cond-mat/0405604
 Phys. Rev. E 71, 046108 (2005)
 doi:10.1103/PhysRevE.71.046108

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