Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model.
J STAT PHYS
297 - 361.
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.
|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
UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
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