On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice

Details On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice

2010-02-23

arxiv.org/abs/1002.4279v2

J.Stat.Mech.1005:P05016,2010

Physics

Condensed Matter

Statistical Mechanics

Latex2e. 22 pages. Contains 11 figures using pstricks package. Uses iopart.sty. Final version accepted in journal

Scientific paper

10.1088/1742-5468/2010/05/P05016

We study the properties of the Wang-Swendsen-Kotecky cluster Monte Carlo algorithm for simulating the 3-state kagome-lattice Potts antiferromagnet at zero temperature. We prove that this algorithm is not ergodic for symmetric subsets of the kagome lattice with fully periodic boundary conditions: given an initial configuration, not all configurations are accessible via Monte Carlo steps. The same conclusion holds for single-site dynamics.

Affiliated with

Also associated with

No associations

Rating

On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice 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 On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-169841