Invaded cluster algorithm for Potts models

Details Invaded cluster algorithm for Potts models Invaded cluster algorithm for Potts models

1996-05-16

arxiv.org/abs/cond-mat/9605103v1

Phys.Rev. E54 (1996) 1332

Physics

Condensed Matter

39 pages, revtex, 15 figures available on request from machta@phast.umass.edu, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.54.1332

The invaded cluster algorithm, a new 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.

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