INVADED CLUSTER ALGORITHM FOR POTTS MODELS

Citation
J. Machta et al., INVADED CLUSTER ALGORITHM FOR POTTS MODELS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1332-1345
Citations number
36
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
2
Year of publication
1996
Pages
1332 - 1345
Database
ISI
SICI code
1063-651X(1996)54:2<1332:ICAFPM>2.0.ZU;2-3
Abstract
The invaded cluster algorithm, a method for simulating phase transitio ns, is described in detail. Theoretical, albeit nonrigorous, justifica tion of the method is presented and the algorithm is applied to Potts models in two and three dimensions. The algorithm is shown to be usefu l for both first-order and continuous transitions and evidently provid es an efficient way to distinguish between these possibilities. The dy namic properties ol the invaded cluster algorithm are studied. Numeric al evidence suggests that the algorithm has no critical slowing for Is ing models.