DYNAMIC CRITICAL-BEHAVIOR OF THE SWENDSEN-WANG ALGORITHM - THE 2-DIMENSIONAL 3-STATE POTTS-MODEL REVISITED

Authors
Citation
J. Salas et Ad. Sokal, DYNAMIC CRITICAL-BEHAVIOR OF THE SWENDSEN-WANG ALGORITHM - THE 2-DIMENSIONAL 3-STATE POTTS-MODEL REVISITED, Journal of statistical physics, 87(1-2), 1997, pp. 1-36
Citations number
38
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
87
Issue
1-2
Year of publication
1997
Pages
1 - 36
Database
ISI
SICI code
0022-4715(1997)87:1-2<1:DCOTSA>2.0.ZU;2-I
Abstract
We have performed a high-precision Monte Carlo study of the dynamic cr itical behavior of the Swendsen-Wang algorithm for the two-dimensional three-state Ports model. We find that the Li-Sokal bound (tau(int,E) greater than or equal to const x C-H) is almost but not quite sharp. T he ratio tau(int,E)/C-H Seems to diverge either as a small power (appr oximate to 0.08) or as a logarithm.