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Invaded cluster algorithm for Potts models

J. Machta, Y. S. Choi, A. Lucke, T. Schweizer, and L. M. Chayes
Phys. Rev. E 54, 1332 – Published 1 August 1996
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Abstract

The invaded cluster algorithm, a method for simulating phase transitions, is described in detail. Theoretical, albeit nonrigorous, justification of the method is presented and the algorithm is applied to Potts models in two and three dimensions. The algorithm is shown to be useful for both first-order and continuous transitions and evidently provides an efficient way to distinguish between these possibilities. The dynamic properties of the invaded cluster algorithm are studied. Numerical evidence suggests that the algorithm has no critical slowing for Ising models. © 1996 The American Physical Society.

  • Received 12 March 1996

DOI:https://doi.org/10.1103/PhysRevE.54.1332

©1996 American Physical Society

Authors & Affiliations

J. Machta, Y. S. Choi, A. Lucke, and T. Schweizer

  • Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003-3720

L. M. Chayes

  • Department of Mathematics, University of California, Los Angeles, California 90095-1555

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Vol. 54, Iss. 2 — August 1996

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