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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 2, Pages 290–295
DOI: https://doi.org/10.4213/tmf9527 (Mi tmf9527) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
Full-text PDF (371 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9527
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).
Received: 23.12.2017
Revised: 16.05.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 2, Pages 1645–1649
DOI: https://doi.org/10.1134/S0040577918110089
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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