
The Library
Dynamic critical behavior of the Chayes–Machta algorithm for the random-cluster model, I. two dimensions
Tools
Garoni, Timothy M., Ossola, Giovanni, Polin, Marco and Sokal, Alan D. (2011) Dynamic critical behavior of the Chayes–Machta algorithm for the random-cluster model, I. two dimensions. Journal of Statistical Physics, Volume 144 (Number 3). pp. 459-518. doi:10.1007/s10955-011-0267-y ISSN 0022-4715.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1007/s10955-011-0267-y
Abstract
We study, via Monte Carlo simulation, 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 ferromagnet to non-integer q≥1. We consider spatial dimension d=2 and 1.25≤q≤4 in steps of 0.25, on lattices up to 10242, and obtain estimates for the dynamic critical exponent z CM. We present evidence that when 1≤q≲1.95 the Ossola–Sokal conjecture z CM≥β/ν is violated, though we also present plausible fits compatible with this conjecture. We show that the Li–Sokal bound z CM≥α/ν is close to being sharp over the entire range 1≤q≤4, but is probably non-sharp by a power. As a byproduct of our work, we also obtain evidence concerning the corrections to scaling in static observables.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 0022-4715 | ||||
Official Date: | 1 October 2011 | ||||
Dates: |
|
||||
Volume: | Volume 144 | ||||
Number: | Number 3 | ||||
Page Range: | pp. 459-518 | ||||
DOI: | 10.1007/s10955-011-0267-y | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |