Critical behaviour of the 3D XY-model: A Monte Carlo study

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We present the results of a study of the three-dimensional XY-model using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to 1123. In the...

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Detalles Bibliográficos
Autores principales: Gottlob, Aloysius P, Hasenbusch, Martin, Meyer, Steffen
Lenguaje:eng
Publicado: 1993
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/0920-5632(93)90338-7
http://cds.cern.ch/record/2298895
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author Gottlob, Aloysius P
Hasenbusch, Martin
Meyer, Steffen
author_facet Gottlob, Aloysius P
Hasenbusch, Martin
Meyer, Steffen
author_sort Gottlob, Aloysius P
collection CERN
description We present the results of a study of the three-dimensional XY-model using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to 1123. In the neighbourhood of the critical temperature we studied the Binder-cumulant and other cumulant like quantities on lattices of size up to 643. From our accurate numerical data we obtain for the critical coupling Kc = 0.45420(2), for the static critical exponents γ/ν = 1.975(6), ν = 0.662(7) at criticality and for the susceptibility exponent γ = 1.324(1) in the high temperature phase.
id oai-inspirehep.net-1644502
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling oai-inspirehep.net-16445022019-09-30T06:29:59Zdoi:10.1016/0920-5632(93)90338-7http://cds.cern.ch/record/2298895engGottlob, Aloysius PHasenbusch, MartinMeyer, SteffenCritical behaviour of the 3D XY-model: A Monte Carlo studyParticle Physics - LatticeWe present the results of a study of the three-dimensional XY-model using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to 1123. In the neighbourhood of the critical temperature we studied the Binder-cumulant and other cumulant like quantities on lattices of size up to 643. From our accurate numerical data we obtain for the critical coupling Kc = 0.45420(2), for the static critical exponents γ/ν = 1.975(6), ν = 0.662(7) at criticality and for the susceptibility exponent γ = 1.324(1) in the high temperature phase.oai:inspirehep.net:16445021993
spellingShingle Particle Physics - Lattice
Gottlob, Aloysius P
Hasenbusch, Martin
Meyer, Steffen
Critical behaviour of the 3D XY-model: A Monte Carlo study
title Critical behaviour of the 3D XY-model: A Monte Carlo study
title_full Critical behaviour of the 3D XY-model: A Monte Carlo study
title_fullStr Critical behaviour of the 3D XY-model: A Monte Carlo study
title_full_unstemmed Critical behaviour of the 3D XY-model: A Monte Carlo study
title_short Critical behaviour of the 3D XY-model: A Monte Carlo study
title_sort critical behaviour of the 3d xy-model: a monte carlo study
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/0920-5632(93)90338-7
http://cds.cern.ch/record/2298895
work_keys_str_mv AT gottlobaloysiusp criticalbehaviourofthe3dxymodelamontecarlostudy
AT hasenbuschmartin criticalbehaviourofthe3dxymodelamontecarlostudy
AT meyersteffen criticalbehaviourofthe3dxymodelamontecarlostudy

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