Critical speeding-up in a local dynamics for the random-cluster model

Details Critical speeding-up in a local dynamics for the random-cluster model Critical speeding-up in a local dynamics for the random-cluster model

2007-01-05

arxiv.org/abs/cond-mat/0701113v1

Phys.Rev.Lett.98:230602,2007

Physics

Condensed Matter

Statistical Mechanics

LaTex2e/revtex4, 4 pages, includes 5 figures

Scientific paper

10.1103/PhysRevLett.98.230602

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, so that the integrated autocorrelation time tends to zero as the critical point is approached. 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.

Affiliated with

Also associated with

No associations

Rating

Critical speeding-up in a local dynamics for the random-cluster model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical speeding-up in a local dynamics for the random-cluster model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical speeding-up in a local dynamics for the random-cluster model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16048