Potts model with competing interactions on the Cayley tree: The contour method |
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| Authors: | G I Botirov U A Rozikov |
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| Institution: | (1) Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan;(2) Romanovskii Mathematical Institute, Tashkent, Uzbekistan |
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| Abstract: | 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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 153, No. 1, pp. 86–97, October, 2007. |
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| Keywords: | Cayley tree configuration contour method ground state Gibbs measure |
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