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Hyperscaling in the Domany-Kinzel Cellular Automaton

Ronald Dickman·Alex Yu. Tretyakov
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Abstract

An apparent violation of hyperscaling at the endpoint of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elementary resolution upon noting that the order parameter is discontinuous at this point. We derive a hyperscaling relation for such transitions and discuss applications to related examples.

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Ronald Dickman, Alex Yu. Tretyakov. 1995-04-12. Hyperscaling in the Domany-Kinzel Cellular Automaton. https://doi.org/10.1103/physreve.52.3218

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