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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited 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

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.

Received: 23.12.2017
Revised: 16.05.2018

DOI: 10.4213/tmf9527


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

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