Critical Behavior of the Chayes–Machta–Swendsen–Wang Dynamics

Authors

Y Deng
T Garoni
J Machta, University of Massachusetts - AmherstFollow
G Ossola
M Polin
A Sokal

Publication Date

2007

Journal or Book Title

Physics Review Letters

Abstract

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≥α/ν is close to but probably not sharp in d=2 and is far from sharp in d=3, for all q. The conjecture z≥β/ν is false (for some values of q) in both d=2 and d=3.

Comments

This is the prepublished version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v99/i5/e055701

Volume

99

Issue

5

Recommended Citation

Deng, Y; Garoni, T; Machta, J; Ossola, G; Polin, M; and Sokal, A, "Critical Behavior of the Chayes–Machta–Swendsen–Wang Dynamics" (2007). Physics Review Letters. 1109.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1109