GENERALIZED SCALING FOR MODELS WITH MULTIPLE ABSORBING STATES

Citation
Jff. Mendes et al., GENERALIZED SCALING FOR MODELS WITH MULTIPLE ABSORBING STATES, Journal of physics. A, mathematical and general, 27(9), 1994, pp. 3019-3028
Citations number
24
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
27
Issue
9
Year of publication
1994
Pages
3019 - 3028
Database
ISI
SICI code
0305-4470(1994)27:9<3019:GSFMWM>2.0.ZU;2-9
Abstract
At a continuous transition into a non-unique absorbing state, particle systems may exhibit non-universal critical behaviour, in apparent vio lation of hyperscaling. We propose a generalized scaling theory for dy namic 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 si mulations of two lattice models.