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26 April 2024
 
  » arxiv » hep-lat/9511022

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Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model
J. Salas ; A.D. Sokal ;
Date 21 Nov 1995
Journal J.Statist.Phys. 85 (1996) 297-361
Subject hep-lat cond-mat
AffiliationNYU
AbstractWe 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 ($ au_{{ m int},{cal E}} ge { m const} imes C_H$) holds along the self-dual curve of the symmetric Ashkin--Teller model, and is almost but not quite sharp. The ratio $ au_{{ m 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.
Source arXiv, hep-lat/9511022
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