Dynamic Critical Behavio(u)r of a Cluster Algorithm for the Ashkin--Teller Model

Details Dynamic Critical Behavio(u)r of a Cluster Algorithm for the Ashkin--Teller Model Dynamic Critical Behavio(u)r of a Cluster Algorithm for the Ashkin--Teller Model

1995-09-12

arxiv.org/abs/hep-lat/9509031v1

Physics

High Energy Physics

High Energy Physics - Lattice

51062 bytes uuencoded gzip'ed (expands to 111127 bytes Postscript); 4 pages including all figures; contribution to Lattice '95

Scientific paper

10.1016/0920-5632(96)00176-4

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 ($\tau_{{\rm int},{\cal E}} \ge {\rm const} \times C_H$) holds along the self-dual curve of the symmetric Ashkin--Teller model, but this bound is apparently not sharp. The ratio $\tau_{{\rm int},{\cal E}}/C_H$ appears to tend to infinity either as a logarithm or as a small power ($0.05 \ltapprox p \ltapprox 0.12$).

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