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

Aloysius P. Gottlob and Martin Hasenbusch

Physica A: Statistical Mechanics and its Applications, 1994, vol. 210, issue 1, 217-236

Abstract: 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 Kc = 0.81563(3), and for the static critical exponents γ/v = 1.973(9) and v = 0.664(4).

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:210:y:1994:i:1:p:217-236

DOI: 10.1016/0378-4371(94)00097-2

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