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Phase transitions for the "uncle-nephew" model

https://doi.org/10.17586/2220-8054-2022-13-5-498-502

Abstract

We investigate a problem of phase transition for all possible phases of "uncle-nephew" model on the semi-infinite Cayley tree of second order. It is proved that one can reach the phase transition for this model only in the class of ferromagnetic phase.

About the Authors

N. N. Ganikhodjaev
Institute of Mathematics
Russian Federation


M. M. Rahmatullaev
Institute of Mathematics; Namangan State University
Russian Federation


M. R. Abdusalomova
Namangan State University
Russian Federation


References

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Review

For citations:


Ganikhodjaev N.N., Rahmatullaev M.M., Abdusalomova M.R. Phase transitions for the "uncle-nephew" model. Nanosystems: Physics, Chemistry, Mathematics. 2022;13(5):498-502. https://doi.org/10.17586/2220-8054-2022-13-5-498-502

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)