Invaded cluster algorithm for Potts models
Condensed Matter
2009-10-28 v1 High Energy Physics - Lattice
Abstract
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.
Cite
@article{arxiv.cond-mat/9605103,
title = {Invaded cluster algorithm for Potts models},
author = {J. Machta and Y. S. Choi and A. Lucke and T. Schweizer and L. M. Chayes},
journal= {arXiv preprint arXiv:cond-mat/9605103},
year = {2009}
}
Comments
39 pages, revtex, 15 figures available on request from [email protected], to appear in Phys. Rev. E