Generalized Scaling for Models with Multiple Absorbing States

Preprint

7 December 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9312028

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.

Keywords

CONTINUOUS TRANSITION
MODELS WITH MULTIPLE
GENERALIZED SCALING
MULTIPLE ABSORBING
CRITICAL BEHAVIOR
ABSORBING STATE
HYPERSCALING
TRANSITION

All Related Versions

Version 1, 1993-12-07, ArXiv
Published version: Journal of Physics A: General Physics, 27 (9), 3019.

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