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A cluster algorithm for Potts models with fixed spin densities

R. P. Bikker·G. T. Barkema
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Abstract

A cluster algorithm is presented for the simulation of the q-state Potts models in which the number of spins is conserved in each state. The algorithm constructs Fortuin-Kasteleyn cluster configurations from spin configurations, in a way identical to the Swendsen-Wang algorithm; the spin assignment to these clusters is however different, and conserves the number of spins for each state. Compared to traditional non-local spin-exchange algorithms, the cluster algorithm presented here suffers less from critical slowing down, and consequently is more efficient near the critical temperature.

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R. P. Bikker, G. T. Barkema. 2000-05-03. A cluster algorithm for Potts models with fixed spin densities. https://doi.org/10.1103/physreve.62.5830

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