MEAN-FIELD BEHAVIOR OF CLUSTER DYNAMICS

Authors
PERSKY N BENAV R KANTER I DOMANY E
Citation
N. Persky et al., MEAN-FIELD BEHAVIOR OF CLUSTER DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(3), 1996, pp. 2351-2358
Citations number
17
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
3
Year of publication
1996
Pages
2351 - 2358
Database
ISI
SICI code
1063-651X(1996)54:3<2351:MBOCD>2.0.ZU;2-P
Abstract
The dynamic behavior of cluster algorithms is analyzed in the classica l mean-field limit. Rigorous analytical results below T-c establish th at the dynamic exponent has the value z(SW)=1 for the Swendsen-Wang al gorithm and z(W)=0 for the Wolff algorithm. An efficient Monte Carlo i mplementation is introduced, adapted for using these algorithms for fu lly connected graphs. Extensive simulations both above and below T-c d emonstrate scaling and evaluate the finite-size scaling function by me ans of a rather impressive collapse of the data.