Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model

Jesús Salas; Alan D. Sokal

doi:10.1016/0920-5632(96)00176-4

Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model

Jesús Salas, Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

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 (τ_int,ε ≥ const × C_H) holds along the self-dual curve of the symmetric Ashkin-Teller model, but this bound is apparently not sharp. The ratio τ_int,ε/C_H appears to tend to infinity either as a logarithm or as a small power (0.05 ≲ p ≲ 0.12).

Original language	English (US)
Pages (from-to)	792-795
Number of pages	4
Journal	Nuclear Physics B - Proceedings Supplements
Volume	47
Issue number	1-3
DOIs	https://doi.org/10.1016/0920-5632(96)00176-4
State	Published - Mar 1996

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/0920-5632(96)00176-4

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title = "Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model",

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,ε ≥ const × CH) holds along the self-dual curve of the symmetric Ashkin-Teller model, but this bound is apparently not sharp. The ratio τint,ε/CH appears to tend to infinity either as a logarithm or as a small power (0.05 ≲ p ≲ 0.12).",

author = "Jes{\'u}s Salas and Sokal, {Alan D.}",

note = "Funding Information: These computations were carried out at NYU, the Pittsburgh Supercomputing Center, and the Cotnell Theory Center. The authors' research was supported in part by a M.E.C. (Spaln)/Fulbright fellowship (J.S.), and by NSF grant DMS-9200719 (J.S. and A.D.S.).",

year = "1996",

month = mar,

doi = "10.1016/0920-5632(96)00176-4",

language = "English (US)",

volume = "47",

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T1 - Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model

AU - Salas, Jesús

AU - Sokal, Alan D.

N1 - Funding Information: These computations were carried out at NYU, the Pittsburgh Supercomputing Center, and the Cotnell Theory Center. The authors' research was supported in part by a M.E.C. (Spaln)/Fulbright fellowship (J.S.), and by NSF grant DMS-9200719 (J.S. and A.D.S.).

PY - 1996/3

Y1 - 1996/3

N2 - 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,ε ≥ const × CH) holds along the self-dual curve of the symmetric Ashkin-Teller model, but this bound is apparently not sharp. The ratio τint,ε/CH appears to tend to infinity either as a logarithm or as a small power (0.05 ≲ p ≲ 0.12).

AB - 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,ε ≥ const × CH) holds along the self-dual curve of the symmetric Ashkin-Teller model, but this bound is apparently not sharp. The ratio τint,ε/CH appears to tend to infinity either as a logarithm or as a small power (0.05 ≲ p ≲ 0.12).

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Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model

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