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Periodic Gibbs Measures for the Ising Model with Competing Interactions

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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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Authors and Affiliations

  1. Samarkand State Architectural Institute, Samarkand, Uzbekistan

    Kh. A. Nazarov

  2. Academy of Sciences of Uzbekistan, Institute for Mathematics, Tashkent, Uzbekistan

    U. A. Rozikov

Authors
  1. Kh. A. Nazarov
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  2. U. A. Rozikov
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Nazarov, K.A., Rozikov, U.A. Periodic Gibbs Measures for the Ising Model with Competing Interactions. Theoretical and Mathematical Physics 135, 881–888 (2003). https://doi.org/10.1023/A:1024091206594

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  • DOI: https://doi.org/10.1023/A:1024091206594

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