Phase transitions of extended-range probabilistic cellular automata with two absorbing states
Franco Bagnoli, Fabio Franci, Raúl Rechtman · Physical Review E · 2005
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.