Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes

We present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports the hypoth...

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Detalles Bibliográficos
Autores principales: Gottlob, Aloysius P., Hasenbusch, Martin
Lenguaje:eng
Publicado: 1994
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0378-4371(94)00097-2
http://cds.cern.ch/record/262508
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author Gottlob, Aloysius P.
Hasenbusch, Martin
author_facet Gottlob, Aloysius P.
Hasenbusch, Martin
author_sort Gottlob, Aloysius P.
collection CERN
description We present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports the hypothesis that both models belong to the same universality class. From our numerical data for the anti-ferromagnetic 3-state Potts model we obtain for the critical coupling \coup_c=0.81563(3), and for the static critical exponents .gamma. /.nu. = 1.973(9) and .nu. = 0.664(4).
id cern-262508
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-2625082023-03-14T19:58:45Zdoi:10.1016/0378-4371(94)00097-2http://cds.cern.ch/record/262508engGottlob, Aloysius P.Hasenbusch, MartinThree-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudesGeneral Theoretical PhysicsWe present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports the hypothesis that both models belong to the same universality class. From our numerical data for the anti-ferromagnetic 3-state Potts model we obtain for the critical coupling \coup_c=0.81563(3), and for the static critical exponents .gamma. /.nu. = 1.973(9) and .nu. = 0.664(4).We present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighborhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports the hypothesis that both models belong to the same universality class. From our numerical data of the anti-ferromagnetic 3-state Potts model we obtain for the critical coupling K c = 0.81563(3), and for the static critical exponents γ / v = 1.973(9) and v = 0.664(4).We present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high statistics study of the 3D XY model strongly supports the hypothesis that both models belong to the same universality class. From our numerical data for the anti-ferromagnetic 3-state Potts model we obtain for the critical coupling $\coup_c=0.81563(3)$, and for the static critical exponents $\gamma /\nu=1.973(9)$ and $\nu=0.664(4)$.cond-mat/9404087CERN-TH-7183-94KL-TH-94-5KL-TH-94-05CERN-TH-7183-94oai:cds.cern.ch:2625081994-04-27
spellingShingle General Theoretical Physics
Gottlob, Aloysius P.
Hasenbusch, Martin
Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes
title Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes
title_full Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes
title_fullStr Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes
title_full_unstemmed Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes
title_short Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes
title_sort three-state anti-ferromagnetic potts model in three dimensions: universality and critical amplitudes
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0378-4371(94)00097-2
http://cds.cern.ch/record/262508
work_keys_str_mv AT gottlobaloysiusp threestateantiferromagneticpottsmodelinthreedimensionsuniversalityandcriticalamplitudes
AT hasenbuschmartin threestateantiferromagneticpottsmodelinthreedimensionsuniversalityandcriticalamplitudes

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