Simulation of the Five-Component Potts Model on Triangular Lattice by the Monte Carlo Method in Pure and Diluted Modes

The Monte Carlo method is used to simulate the five-component Potts model on a triangular lattice in pure and diluted modes. Systems with linear dimensions L × L = N and L = 20–120 in units of interatomic length are considered at spin concentration p = 1.00 and 0.90. The obtained numerical data show that a phase transition of the first order is observed in the five-component Potts model on a triangular lattice according to the theory. Introduction of an insignificant nonmagnetic order into the considered model leads to the phase transition of the second order. The fourth-order method of Binder cumulants and the histogram analysis are used to refine the value of localization of the temperature T_l of phase transition of the first order in the undiluted mode.