NPAC Technical Report SCCS-220

Dynamical Exponents for Potts Model Cluster Algorithms

Paul D. Coddington and Clive F. Baillie

November 1991

Published in Proc. of the Int. Conf. on Lattice Field Theory, Tsukuba, Japan (November 1991), Nucl. Phys. B (Proc. Suppl.) 26, 632 (1992)

© Copyright Elsevier Science.


Abstract

We have studied the Swendsen-Wang and Wolff cluster update algorithms for the Ising model in 2, 3 and 4 dimensions. The data indicate simple relations between the specific heat and the Wolff autocorrelations, and between the magnetization and the Swendsen-Wang autocorrelations. This implies that the dynamic critical exponents are related to the static exponents of the Ising model. We also investigate the possibility of similar relationships for the Q-state Potts model.


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