title: Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics.
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 >or= 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 >or= beta/nu is false (for some values of q) in both d = 2 and d = 3.
authors.affiliation: Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USA.
authors.forename: Youjin
authors.initials: Y
authors.lastname: Deng
authors.forename: Timothy M
authors.initials: TM
authors.lastname: Garoni
authors.forename: Jonathan
authors.initials: J
authors.lastname: Machta
authors.forename: Giovanni
authors.initials: G
authors.lastname: Ossola
authors.forename: Marco
authors.initials: M
authors.lastname: Polin
authors.forename: Alan D
authors.initials: AD
authors.lastname: Sokal