Generalized Scaling for Models with Multiple Absorbing States

Details Generalized Scaling for Models with Multiple Absorbing States Generalized Scaling for Models with Multiple Absorbing States

1993-12-06

arxiv.org/abs/cond-mat/9312028v1

J. Phys. A27, 3019-3028 (1994)

Physics

Condensed Matter

Latex 9 pages

Scientific paper

10.1088/0305-4470/27/9/017

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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