Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model

Details Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model

1995-11-21

arxiv.org/abs/hep-lat/9511022v1

J.Statist.Phys.85:297-361,1996

Physics

High Energy Physics

High Energy Physics - Lattice

59 pages including 3 figures, uuencoded g-compressed ps file. Postscript size = 799740 bytes

Scientific paper

10.1007/BF02174209

We study the dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin--Teller model. We find that the Li--Sokal bound on the autocorrelation time ($\tau_{{\rm int},{\cal E}} \ge {\rm const} \times C_H$) holds along the self-dual curve of the symmetric Ashkin--Teller model, and is almost but not quite sharp. The ratio $\tau_{{\rm int},{\cal E}} / C_H$ appears to tend to infinity either as a logarithm or as a small power ($0.05 \leq p \leq 0.12$). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.

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