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Invaded cluster algorithm for equilibrium critical points

J. Machta·Y. S. Choi·A. Lucke·T. Schweizer·L. V. Chayes
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Abstract

A new cluster algorithm based on invasion percolation is described. The algorithm samples the critical point of a spin system without a priori knowledge of the critical temperature and provides an efficient way to determine the critical temperature and other observables in the critical region. The method is illustrated for the two- and three-dimensional Ising models. The algorithm equilibrates spin configurations much faster than the closely related Swendsen-Wang algorithm.

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J. Machta, Y. S. Choi, A. Lucke, T. Schweizer, L. V. Chayes. 1995-07-24. Invaded cluster algorithm for equilibrium critical points. https://doi.org/10.1103/physrevlett.75.2792

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