Critical Behavior of the Chayes–Machta–Swendsen–Wang DynamicsPhysics Review Letters
AbstractWe 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.
Citation InformationY Deng, T Garoni, J Machta, G Ossola, et al.. "Critical Behavior of the Chayes–Machta–Swendsen–Wang Dynamics" Physics Review Letters Vol. 99 Iss. 5 (2007)
Available at: http://works.bepress.com/joonathan_machta/3/