Dynamic critical properties of a one-dimensional probabilistic cellular automaton

Abstract

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state. Values obtained for the dynamic critical exponents indicate that the transition belongs to the universality class of directed percolation. Finally the model is compared with a previously studied one to show that a difference in the nature of the absorbing states places them in different universality classes.

12 pages (LaTeX), 4 Figures (PostScript)

Cited by in corpus (4)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Phase diagram of a probabilistic cellular automaton with three-site interactions
• The inactive-active phase transition in the noisy additive (exclusive-or) probabilistic cellular automaton
• Growth of surfaces generated by a probabilistic cellular automaton