Deng, YJ;
Garoni, TM;
Machta, J;
Ossola, G;
Polin, M;
Sokal, AD;
(2007)
Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics.
PHYS REV LETT
, 99
(5)
, Article 055701. 10.1103/PhysRevLett.99.055701.
![[thumbnail of 82822.pdf]](https://discovery.ucl.ac.uk/style/images/fileicons/application_pdf.png) Preview |
PDF
82822.pdf Download (230kB) |
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.
| Type: | Article |
|---|---|
| Title: | Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.99.055701 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.99.055701 |
| Language: | English |
| Additional information: | © 2007 The American Physical Society |
| Keywords: | POTTS-MODEL, ALGORITHM |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/82822 |
Archive Staff Only
 |
View Item |
