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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:
Acceso en línea:https://dx.doi.org/10.1016/0378-4371(94)00097-2
http://cds.cern.ch/record/262508
Descripción
Sumario: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).