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arXiv · hep-lat/9511022

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

J. Salas·A. D. Sokal
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Abstract

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 ($τ_{{\rm int},{\cal E}} \ge {\rm const} \times C_H$) holds along the self-dual curve of the symmetric Ashkin--Teller model, and is almost but not quite sharp. The ratio $τ_{{\rm int},{\cal E}} / C_H$ 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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J. Salas, A. D. Sokal. 1995-11-21. Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model. https://doi.org/10.1007/bf02174209

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