On the non-ergodicity of the Swendsen-Wang-Kotecký algorithm on the kagomé lattice

Mohar, Bojan; Salas Martínez, Jesús

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dc.contributor.author	Mohar, Bojan
dc.contributor.author	Salas Martínez, Jesús
dc.date.accessioned	2021-07-14T09:09:32Z
dc.date.available	2021-07-14T09:09:32Z
dc.date.issued	2010-05
dc.identifier.bibliographicCitation	Mohar, B. & Salas, J. (2010). On the non-ergodicity of the Swendsen–Wang–Kotecký algorithm on the kagomé lattice. Journal of Statistical Mechanics: Theory and Experiment, 2010(05), P05016.
dc.identifier.issn	1742-5468
dc.identifier.uri	http://hdl.handle.net/10016/33059
dc.description.abstract	We study the properties of the Wang–Swendsen–Kotecký cluster Monte Carlo algorithm for simulating the three-state kagomé-lattice Potts antiferromagnet at zero temperature. We prove that this algorithm is not ergodic for symmetric subsets of the kagomé 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.
dc.description.sponsorship	The author's research was supported in part by the ARRS (Slovenia) Research Programme P1-0297, by an NSERC Discovery Grant, and by the Canada Research Chair programme (BM), by US National Science Foundation grant PHY-0424082, and by Spanish MEC grants MTM2008-03020 and FPA2009-08785 (JS).
dc.format.extent	22
dc.language.iso	eng
dc.publisher	IOP Publishing
dc.rights	© 2010 IOP Publishing Ltd and SISSA
dc.subject.other	Classical Monte Carlo simulations
dc.subject.other	Sampling algorithms
dc.subject.other	Rapid mixing
dc.title	On the non-ergodicity of the Swendsen-Wang-Kotecký algorithm on the kagomé lattice
dc.type	article
dc.subject.eciencia	Ingeniería Industrial
dc.subject.eciencia	Matemáticas
dc.identifier.doi	https://doi.org/10.1088/1742-5468/2010/05/P05016
dc.rights.accessRights	openAccess
dc.relation.projectID	Gobierno de España. MTM2008-03020
dc.relation.projectID	Gobierno de España. FPA2009-08785
dc.type.version	acceptedVersion
dc.identifier.publicationfirstpage	P05016
dc.identifier.publicationissue	5
dc.identifier.publicationtitle	Journal of Statistical Mechanics: Theory and Experiment
dc.identifier.publicationvolume	2010
dc.identifier.uxxi	AR/0000007064
dc.contributor.funder	Ministerio de Economía y Competitividad (España)