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Event-chain Monte Carlo for classical continuous spin models

Authors :
Manon Michel
Johannes Mayer
Manon Schladen
Werner Krauth
Laboratoire de Physique Statistique de l'ENS (LPS)
Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS)
École normale supérieure - Paris (ENS Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
Source :
EPL-Europhysics Letters, EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2015, ⟨10.1209/0295-5075/112/20003⟩
Publication Year :
2015
Publisher :
HAL CCSD, 2015.

Abstract

We apply the event-chain Monte Carlo algorithm to classical continuum spin models on a lattice and clarify the condition for its validity. In the two-dimensional XY model, it outperforms the local Monte Carlo algorithm by two orders of magnitude, although it remains slower than the Wolff cluster algorithm. In the three-dimensional XY spin glass at low temperature, the event-chain algorithm is far superior to the other algorithms.<br />Comment: 6 pages, 7 figures

Details

Language :
English
ISSN :
02955075 and 12864854
Database :
OpenAIRE
Journal :
EPL-Europhysics Letters, EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2015, ⟨10.1209/0295-5075/112/20003⟩
Accession number :
edsair.doi.dedup.....16cd5dc153ab17d9aa3a1ff00716c7b3
Full Text :
https://doi.org/10.1209/0295-5075/112/20003⟩