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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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35 pages including 3 figures. Self-unpacking file containing the LaTeX file, the needed macros (epsf.sty, indent.sty, subeqnar

Scientific paper

10.1007/BF02181478

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 ($\tau_{int,E} \geq const \times C_H$)
is almost but not quite sharp. The ratio $\tau_{int,E} / C_H$ seems to diverge
either as a small power ($\approx 0.08$) or as a logarithm.

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