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Mean Field Behavior of Cluster Dynamics

N. Persky·R. Ben-Av·I. Kanter·E. Domany
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Abstract

The dynamic behavior of cluster algorithms is analyzed in the classical mean field limit. Rigorous analytical results below $T_c$ establish that the dynamic exponent has the value $z_{sw}=1$ for the Swendsen-Wang algorithm and $z_{uw}=0$ for the Wolff algorithm. An efficient Monte Carlo implementation is introduced, adapted for using these algorithms for fully connected graphs. Extensive simulations both above and below $T_c$ demonstrate scaling and evaluate the finite-size scaling function by means of a rather impressive collapse of the data.

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N. Persky, R. Ben-Av, I. Kanter, E. Domany. 1996-03-24. Mean Field Behavior of Cluster Dynamics. https://doi.org/10.1103/physreve.54.2351

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