Phase transitions and the thermodynamic properties of the Potts model with the spin state number $q$ = 4 at a kagome lattice

Phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states $q$ = 4 on a kagome lattice are investigated by the Mote Carlo method based on the Wang-Landau algorithm. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.