Dynamic critical properties of a one-dimensional probabilistic cellular automaton

Details Dynamic critical properties of a one-dimensional probabilistic cellular automaton Dynamic critical properties of a one-dimensional probabilistic cellular automaton

1997-12-24

arxiv.org/abs/cond-mat/9712288v1

Physics

Condensed Matter

Statistical Mechanics

12 pages (LaTeX), 4 Figures (PostScript)

Scientific paper

10.1007/s100510050309

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.

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