Three-State Anti-ferromagnetic Potts Model in Three Dimensions: Universality and Critical Amplitudes

Details Three-State Anti-ferromagnetic Potts Model in Three Dimensions: Universality and Critical Amplitudes Three-State Anti-ferromagnetic Potts Model in Three Dimensions: Universality and Critical Amplitudes

1994-04-27

arxiv.org/abs/cond-mat/9404087v1

Physics

Condensed Matter

18pages + 3figures, KL-TH-94/5 , CERN-TH.7183/94

Scientific paper

10.1016/0378-4371(94)00097-2

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 $\nu=0.664(4)$.

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