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

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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)
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