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On Paramagnetic Phases of the Potts Model on a Bethe Lattice in the Presence of Competing Interactions

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, , Citation Nasir Ganikhodjaev and Anasbek Rahmatullaev 2013 J. Phys.: Conf. Ser. 435 012035 DOI 10.1088/1742-6596/435/1/012035

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1 Department of Computational and Theoretical Sciences, Faculty of Science, IIUM, 25200 Kuantan, MALAYSIA

2 Institute of Mathematics and Informational Technologies, 100125, Tashkent, UZBEKISTAN

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1742-6596/435/1/012035

Abstract

We consider a Potts model on a Bethe lattice with competing nearest-neighbour J and next-nearest-neighbour interactions Jp. The phase diagram of this model was studied by Ganikhodjaev et al. In this paper we investigate the problem of phase transition for the considered model and show that for some parameter values of the model there is phase transition.

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10.1088/1742-6596/435/1/012035