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TMF, 2018, Volume 197, Number 2, Pages 290–295 (Mi tmf9527)  

Potts model on the Bethe lattice with nonmagnetic impurities in an external magnetic field

S. V. Sjomkin, V. P. Smagin, E. G. Gusev

Vladivostok State University of Economics and Service, Vladivostok, Russia

Abstract: We obtain a solution for the Potts model on the Bethe lattice in an external magnetic field with movable nonmagnetic impurities. Using the method of “pseudochaotic” impurity distribution (correlations in the positions of the impurity atoms for the neighboring sides vanish), we obtain a system of equations defining the first-order phase transition curve on the "temperature–external field" plane. We find the dependence of the endpoint of the phase transition line on the concentration of magnetic atoms.

Keywords: diluted magnet, Potts model, Bethe lattice, phase transition.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 2014/292
This work was supported by the Ministry of Education and Science of the Russia Federation (basic part of State Mission No. 2014/292 for State Projects in science).


DOI: https://doi.org/10.4213/tmf9527

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English version:
Theoretical and Mathematical Physics, 2018, 197:2, 1645–1649

Bibliographic databases:

Document Type: Article
Received: 23.12.2017
Revised: 16.05.2018

Citation: S. V. Sjomkin, V. P. Smagin, E. G. Gusev, “Potts model on the Bethe lattice with nonmagnetic impurities in an external magnetic field”, TMF, 197:2 (2018), 290–295; Theoret. and Math. Phys., 197:2 (2018), 1645–1649

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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