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On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree

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Abstract

In the present paper, we consider a p-adic Ising model on a Cayley tree of order three. The existence of \(G_k^{(2)}\)-periodic non-translation-invariant p-adic generalized Gibbs measures of this model is investigated. Moreover, the boundedness of such kinds of measures is established, which yields the occurrence of a phase transition.

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Acknowledgements

We thank the referee for carefully reading and many comments that were very useful to improve the presentation of the paper.

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  1. Muzaffar Rahmatullaev and Akbarkhuja Tukhtabaev have been contributed equally to this work.

Authors and Affiliations

  1. Institute of Mathematics, Academy of Science, University Street, Tashkent, Uzbekistan, 100174

    Muzaffar Rahmatullaev

  2. Namangan State University, Uychi Street, Namangan, Uzbekistan, 15551

    Akbarkhuja Tukhtabaev

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  1. Muzaffar Rahmatullaev
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Rahmatullaev, M., Tukhtabaev, A. On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree. Lett Math Phys 112, 112 (2022). https://doi.org/10.1007/s11005-022-01598-z

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