Investigation of the influence of weak magnetic fields on thermodynamic properties of the Potts model with the number of spin states $q$ = 4 on a hexagonal lattice
Abstract:
The replica exchange algorithm of the Monte Carlo method was used to study phase transitions and thermodynamic properties of the two-dimensional Potts model with the number of spin states $q$ = 4 on a hexagonal lattice in weak magnetic fields. The studies were carried out for the interval of the magnetic field value 0.0 $\le H\le$ 3.0 with a step of 1.0. It is found that a first-order phase transition is observed in the considered range of field values.
Keywords:Frustration, Phase transitions, Monte Carlo method, Potts model.