Phase transitions of extended-range probabilistic cellular automata with two absorbing states
arXiv:cond-mat/0405604 · doi:10.1103/PhysRevE.71.046108
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.
New and expanded version
References in corpus (10)
- Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation?
- Stochastic Lattice Models with Several Absorbing States
- Lyapunov Exponents in Random Boolean Networks
- Damage spreading and Lyapunov exponents in cellular automata
- Synchronization and Maximum Lyapunov Exponents of Cellular Automata
- Nature of phase transitions in a probabilistic cellular automaton with two absorbing states
- Synchronization of non-chaotic dynamical systems
- An Objective Definition of Damage Spreading - Application to Directed Percolation
- On Damage Spreading Transitions
- Algorithmic Mapping Criticality into Self Organized Criticality