Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics

Youjin Deng, Tim Garoni, Jonathan Machata, Giovanni Ossola, Marco Polin, Alan Sokal

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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 >= 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 >= beta/nu is false (for some values of q) in both d = 2 and d = 3
Original languageEnglish
Pages (from-to)055701-1 - 055701-4
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number5
DOIs
Publication statusPublished - 2007
Externally publishedYes

Cite this

Deng, Y., Garoni, T., Machata, J., Ossola, G., Polin, M., & Sokal, A. (2007). Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics. Physical Review Letters, 99(5), 055701-1 - 055701-4. https://doi.org/10.1103/PhysRevLett.99.055701