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Dynamic critical properties of a one-dimensional probabilistic cellular automaton

1997/12/24 by P. Bhattacharyya, Pratip Bhattacharyya · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1007/s100510050309

12 pages (LaTeX), 4 Figures (PostScript)

arxiv created 1997/12/24 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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