Potts model on a Bethe lattice in the external field

Authors
  • Semkin S.V.

    Vladivostok State University of Economics and Service
    Vladivostok. Russia

  • Smagin V.P.

    Vladivostok State University of Economics and Service
    Vladivostok. Russia

Abstract

The solution for the Potts model with an arbitrary number of states on the Bethe lattice in a non-zero external field is obtained. The line of phase transitions of the first order on the plane “temperature - external field” is found. This line has the ends point of a phase transition of the second order. The “magnetization” jump on the line of phase transitions is found.

Keywords: phase transitions, Potts model, Bethe lattice.