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
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.