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Dynamic critical properties of a one-dimensional probabilistic cellular automaton

Pratip Bhattacharyya
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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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Pratip Bhattacharyya. 1997-12-24. Dynamic critical properties of a one-dimensional probabilistic cellular automaton. https://doi.org/10.1007/s100510050309

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