ISSN:
1572-9613
Keywords:
Ashkin-Teller model
;
Ising model
;
Potts model
;
Monte Carlo
;
dynamical critical behavior
;
cluster algorithm
;
Swedsen-Wang algorithm
;
Li-Sokal bound
;
critical slowing down
;
autocorrelation time, fitting correlated data
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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 (τint.δ≥ const xC H ) holds along the self-dual curve of the symmetric Ashkin-Teller model, and is almost, but not quite sharp. The ratio τint.δ/C H appears to tend to infinity either as a logarithm or as a small power (0.05≲p≲0.12). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02174209
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