Periodic Gibbs Measures for the Ising Model with Competing Interactions |
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| Authors: | Nazarov Kh. A. Rozikov U. A. |
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| Affiliation: | (1) Samarkand State Architectural Institute, Samarkand, Uzbekistan;(2) Academy of Sciences of Uzbekistan, Institute for Mathematics, Tashkent, Uzbekistan |
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| Abstract: | ![]()
For the Ising model with competing interactions on the second-order Cayley tree, we find the operator corresponding to the periodic Gibbs distributions with period two and determine the invariant subsets of this operator, which are used to describe the periodic Gibbs distributions. |
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| Keywords: | Cayley tree configuration limit Gibbs measure periodic Gibbs measure |
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