Generalized scaling for models with multiple absorbing states
Open Access
- 7 May 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (9) , 3019-3028
- https://doi.org/10.1088/0305-4470/27/9/017
Abstract
At a continuous transition into a non-unique absorbing state, particle systems may exhibit non-universal critical behaviour, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behaviour at a transition to 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.Keywords
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