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Empirical relations between static and dynamic exponents for Ising model cluster algorithms

By Paul D. Coddington and Clive F. Baillie

Abstract

We have measured the autocorrelations for the Swendsen-Wang and the Wolff cluster update algorithms for the Ising model in 2, 3 and 4 dimensions. The data for the Wolff algorithm suggest that the autocorrelations are linearly related to the specific heat, in which case the dynamic critical exponent zW int,E = α/ν. For the Swendsen-Wang algorithm, scaling the autocorrelations by the average maximum cluster size gives either a constant or a logarithm, which implies that zSW int,E = β/ν for the Ising model. PACS numbers 05.50.+q, 11.15.Ha, 64.60.Ht.

Year: 1992
DOI identifier: 10.1103/physrevlett.68.962
OAI identifier: oai:CiteSeerX.psu:10.1.1.112.6133
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