Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm

Details Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm

2007-05-18

arxiv.org/abs/0705.2751v1

Phys.Rev.Lett.99:055701,2007

Physics

Condensed Matter

Statistical Mechanics

Revtex4, 4 pages including 4 figures

Scientific paper

10.1103/PhysRevLett.99.055701

We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninteger q, in two and three spatial dimensions, by Monte Carlo simulation. We show that the Li-Sokal bound z \ge \alpha/\nu is close to but probably not sharp in d=2, and is far from sharp in d=3, for all q. The conjecture z \ge \beta/\nu is false (for some values of q) in both d=2 and d=3.

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