J. Machta et al., INVADED CLUSTER ALGORITHM FOR POTTS MODELS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1332-1345
The invaded cluster algorithm, a method for simulating phase transitio
ns, is described in detail. Theoretical, albeit nonrigorous, justifica
tion of the method is presented and the algorithm is applied to Potts
models in two and three dimensions. The algorithm is shown to be usefu
l for both first-order and continuous transitions and evidently provid
es an efficient way to distinguish between these possibilities. The dy
namic properties ol the invaded cluster algorithm are studied. Numeric
al evidence suggests that the algorithm has no critical slowing for Is
ing models.