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arXiv:1002.4279 [cond-mat.stat-mech]Abstract References Reviews Resources

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

Published 2010-02-23, updated 2010-05-21Version 2

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.

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

Journal: J.Stat.Mech.1005:P05016,2010

DOI: 10.1088/1742-5468/2010/05/P05016

Categories: cond-mat.stat-mech, hep-lat, math.CO

Subjects: 05.50.+q, 02.50.Ga, 64.50.De, 02.10.Ox, 02.40.Re

Keywords: kagome lattice, swendsen-wang-kotecky algorithm, wang-swendsen-kotecky cluster monte carlo algorithm, non-ergodicity, kagome-lattice potts antiferromagnet

Tags: research tool, journal article

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