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.

Request Changes to record.

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:	Date Event 1 October 2011 Published
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