title: Phase transitions of extended-range probabilistic cellular automata with two absorbing states.
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.
authors.affiliation: Dipartimento di Energetica, Università di Firenze, Via S. Marta 3, 50139 Firenze, Italy.
authors.forename: Franco
authors.initials: F
authors.lastname: Bagnoli
authors.forename: Fabio
authors.initials: F
authors.lastname: Franci
authors.forename: Raúl
authors.initials: R
authors.lastname: Rechtman