Deng, YJ;
Garoni, TM;
Sokal, AD;
(2007)
Critical speeding-up in the local dynamics of the random-cluster model.
PHYS REV LETT
, 98
(23)
, Article 230602. 10.1103/PhysRevLett.98.230602.
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Abstract
We study the dynamic critical behavior of the local bond-update (Sweeny) dynamics for the Fortuin-Kasteleyn random-cluster model in dimensions d=2, 3 by Monte Carlo simulation. We show that, for a suitable range of q values, the global observable S-2 exhibits "critical speeding-up": it decorrelates well on time scales much less than one sweep. In some cases the dynamic critical exponent for the integrated autocorrelation time is negative. We also show that the dynamic critical exponent z(exp) is very close (possibly equal) to the rigorous lower bound alpha/nu and quite possibly smaller than the corresponding exponent for the Chayes-Machta-Swendsen-Wang cluster dynamics.
| Type: | Article |
|---|---|
| Title: | Critical speeding-up in the local dynamics of the random-cluster model |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.98.230602 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.98.230602 |
| Language: | English |
| Additional information: | © 2007 The American Physical Society |
| Keywords: | POTTS-MODEL, MONTE-CARLO, ALGORITHMS, SLE |
| 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/129469 |
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