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Phase transitions of extended-range probabilistic cellular automata with two absorbing states
Franco Bagnoli1, Fabio Franci, Raúl Rechtman
1Dipartimento di Energetica, Università di Firenze, Via S. Marta 3, 50139 Firenze, Italy.
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 competing ferromagnetic linear and antiferromagnetic nonlinear couplings. Despite its simplicity, this model exhibits an extremely rich phase diagram. We present numerical results and mean-field approximations.
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