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

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02174209· OSTI ID:441458

Salas, J; Sokal, A D ^[1]

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1. New York Univ., NY (United States)

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}{sub int, {epsilon}} {ge} const x C{sub H}) holds along the self-dual curve of the symmetric Ashkin-Teller model, and is almost, but not quite sharp. The ratio {tau}{sub int, {epsilon}}/C{sub H} appears to tend to infinity either as a logarithm or as a small power (0.05 {approx_lt} p {approx_lt} 0.12). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.

• Sponsoring Organization: USDOE
• OSTI ID: 441458
• Journal Information: Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 3-4 Vol. 85; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

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STATISTICAL MECHANICS