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.
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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).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 2, pp. 290–295, November, 2018.
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Sjomkin, S.V., Smagin, V.P. & Gusev, E.G. Potts Model on the Bethe Lattice with Nonmagnetic Impurities in An External Magnetic Field. Theor Math Phys 197, 1645–1649 (2018). https://doi.org/10.1134/S0040577918110089
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DOI: https://doi.org/10.1134/S0040577918110089