Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice

摘要: The phase transitions in the two-dimensional ferro- and antiferromagnetic Potts models with q = 3 states of spin on a triangular lattice are studied using cluster algorithms classical Monte Carlo method. Systems linear sizes L 20–120 considered. method fourth-order Binder cumulants histogram analysis used to discover that second-order transition occurs ferromagnetic model first-order takes place model. static critical indices heat capacity (α), magnetic susceptibility (γ), magnetization (β), correlation radius index (ν) calculated for finite-size scaling theory.