Theoretical and Mathematical Physics

, Volume 197, Issue 2, pp 1645–1649 | Cite as

Potts Model on the Bethe Lattice with Nonmagnetic Impurities in An External Magnetic Field

  • S. V. SjomkinEmail author
  • V. P. Smagin
  • E. G. Gusev


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.


diluted magnet Potts model Bethe lattice phase transition 


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Vladivostok State University of Economics and ServiceVladivostokRussia

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