Dynamic Critical Behavior of the Swendsen-Wang Algorithm: The Two-Dimensional 3-State Potts Model Revisited

preprint1997arXivOpen access

Abstract

We have performed a high-precision Monte Carlo study of the dynamic critical behavior of the Swendsen-Wang algorithm for the two-dimensional 3-state Potts model. We find that the Li-Sokal bound (τint,E≥const×CHτ_{int,E} \geq const \times C_H) is almost but not quite sharp. The ratio τint,E/CHτ_{int,E} / C_H seems to diverge either as a small power (≈0.08\approx 0.08) or as a logarithm.

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