Reentrant Behavior in the Domany-Kinzel Cellular Automaton

Abstract

We present numerical and analytical results for a special kind of one-dimensional probabilistic cellular automaton, the so called Domany-Kinzel automaton. It is shown that the phase boundary separating the active and the recently found chaotic phase exhibits reentrant behavior. Furthermore exact results for the $p_2$=0-line are discussed.

LaTeX 9 pages + 6 figures (appended as uuencoded compressed tar-file), THP31-94

Cited by in corpus (11)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Evolutionary prisoner's dilemma game on a square lattice
• Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation?
• Vortex dynamics in a three-state model under cyclic dominance
• Transfer-matrix DMRG for stochastic models: The Domany-Kinzel cellular automaton
• An Objective Definition of Damage Spreading - Application to Directed Percolation
• On Damage Spreading Transitions
• Scaling behavior of the directed percolation universality class
• Crossover scaling in the Domany-Kinzel cellular automaton
• Generalized mean-field study of a driven lattice gas
• Dualities for Multi-State Probabilistic Cellular Automata