p-Adic solid-on-solid model on a Cayley tree

We consider a p-adic solid-on-solid ( SOS ) model with a nearest-neighbor coupling, m +1 spins, and a coupling constant J ∈ Q p on a Cayley tree. We find conditions under which a phase transition does not occur in the model. We show that if p | m + 1 for some J, then a phase transition occurs. Moreo...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2017-12, Vol.193 (3), p.1880-1893
Main Author: Khakimov, O. N.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Coupling
Mathematical and Computational Physics
Phase transitions
Physics
Physics and Astronomy
Theoretical
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Summary:We consider a p-adic solid-on-solid ( SOS ) model with a nearest-neighbor coupling, m +1 spins, and a coupling constant J ∈ Q p on a Cayley tree. We find conditions under which a phase transition does not occur in the model. We show that if p | m + 1 for some J, then a phase transition occurs. Moreover, we formulate a criterion for the boundedness of p-adic Gibbs measures for the ( m +1)- state SOS model .
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577917120133