Phase transitions in the diluted 2D three-state Potts model on a square lattice

Abstract

The computer simulation method was used to study phase transitions in a two-dimensional site-diluted 3-state Potts model. Systems with linear dimensions Lx L=N, L=10/160 at a spin concentration p=1.00, 0.80 are considered. The numerical data obtained indicate that in a pure 3-state Potts model on a square lattice, a phase transition of the second order is observed in accordance with the theory. The introduction of disorder in the form of non-magnetic impurities (p=0.80) in the 3-state Potts model preserves the phase transition of the second order. Keywords: Potts model, Monte Carlo method, thermodynamic parameters, disorder.

Computer simulation of phase transitions in low-dimensional Potts models

“…A similar behavior was observed for fourthorder Binder cumulants in the case of the Potts model with q = 3 on a square lattice. This model was partially studied by us in the article [16]. The values of critical temperatures T c determined by the Binder cumulant method in units of J/k B for the twodimensional Potts model with q = 3 on square, hexagonal lattices and their comparison with analytical values from the literature are given in the table.…”