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Unpublished Paper
Dynamic Critical Behavior of the Chayes-Machta-Swendsen-Wang Algorithm
Physical Review Letters
(2007)
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.
Disciplines
Publication Date
2007
Comments
Prepublished version downloaded from ArXiv. Published version is located at http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.99.055701
Citation Information
Youjin Deng, Timothy M. Garoni, Jonathan Machta, Giovanni Ossola, et al.. "Dynamic Critical Behavior of the Chayes-Machta-Swendsen-Wang Algorithm" Physical Review Letters (2007) Available at: http://works.bepress.com/joonathan_machta/19/