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Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model

Salas, J; Sokal, AD; (1996) Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model. J STAT PHYS , 85 (3-4) 297 - 361.

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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 (tau(int), g greater than or equal to constxC(H)) holds along the self-dual curve of the symmetric Ashkin-Teller model, and is almost, but not quite sharp. The ratio tau(int)epsilon/C-H appears to tend to infinity either as a logarithm or as a small power (0.05 less than or similar to P less than or similar to 0.12). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.

Type:Article
Title:Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model
Keywords:Ashkin-Teller model, Ising model, Potts model, Monte Carlo, dynamical critical behavior, cluster algorithm, Swendsen-Wang algorithm, Li-Sokal bound, critical slowing down, autocorrelation time, fitting correlated data, MONTE-CARLO ALGORITHM, POTTS-MODEL, ISING-MODEL, MULTICRITICAL POINT, CRITICAL EXPONENTS, SQUARE-LATTICE, SINGULARITIES, SYSTEMS, FIELD
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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