MODELING OF THREE-STATE ANTIFERROMAGNETIC POTTS MODEL ON A SIMPLE CUBIC LATTICE BY THE MONTE CARLO METHOD

Computer simulation of phase transitions in a three-state antiferromagnetic Potts model on a simple cubic lattice is carried out. Using the Monte Carlo method, the temperature dependences of the order parameter m_AF, the susceptibility χ, and the heat capacity C. Systems with linear dimensions L×L×L=N, L=10–50 are considered. Using histogram data analysis and the fourth-order Binder cumulant method it is shown that a second-order phase transition occurs in the Potts model under consideration. The critical temperature T_c has been determined with good accuracy.