NPAC Technical Report SCCS-141
Empirical relations between static and dynamic exponents for Ising model cluster algorithms
Paul D. Coddington and Clive F. Baillie
December 1992
Published in
Phys. Rev. Lett. 68, 962 (1992).
© Copyright American Physical Society.
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 ${z_{int,E}^{W} = \alpha / \nu}$.
For the Swendsen-Wang algorithm, scaling the autocorrelations by the
average maximum cluster size gives either a constant or a logarithm,
which implies that ${z_{int,E}^{SW} = \beta / \nu}$ for the Ising model.
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