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Generalized Scaling for Models with Multiple Absorbing States

J. F. F. Mendes·Ronald Dickman·Malte Henkel·M. Ceu Marques
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Abstract

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a transition into an absorbing state, which is capable of describing exponents which vary according to the initial configuration. The resulting hyperscaling relation is supported by simulations of two lattice models.

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J. F. F. Mendes, Ronald Dickman, Malte Henkel, M. Ceu Marques. 1993-12-06. Generalized Scaling for Models with Multiple Absorbing States. https://doi.org/10.1088/0305-4470%2F27%2F9%2F017

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