Geodesic
Potts model with competing interactions on the Cayley tree: The contour method
Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 1, pp. 86-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Potts model with three spin values and with competing interactions of radius $r=2$ on the Cayley tree of order $k=2$. We completely describe the ground states of this model and use the contour method on the tree to prove that this model has three Gibbs measures at sufficiently low temperatures.
Keywords: Cayley tree, ground state, Gibbs measure.
Mots-clés : configuration, contour method 
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G. I. Botirov; U. A. Rozikov. Potts model with competing interactions on the Cayley tree: The contour method. Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 1, pp. 86-97. http://geodesic.mathdoc.fr/item/TMF_2007_153_1_a6/

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