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Critical behavior of the Chayes–Machta–Swendsen–Wang Dynamics
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Deng, Youjin, Garoni, Timothy, Machta, Jonathan, Ossola, Giovanni, Polin, Marco and Sokal, Alan (2007) Critical behavior of the Chayes–Machta–Swendsen–Wang Dynamics. Physical Review Letters, Volume 99 (Number 5). Article number 055701 . doi:10.1103/PhysRevLett.99.055701 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.99.055701
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.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
Journal or Publication Title: | Physical Review Letters | ||||||
Publisher: | American Physical Society | ||||||
ISSN: | 0031-9007 | ||||||
Official Date: | 31 July 2007 | ||||||
Dates: |
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Volume: | Volume 99 | ||||||
Number: | Number 5 | ||||||
Article Number: | Article number 055701 | ||||||
DOI: | 10.1103/PhysRevLett.99.055701 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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