Critical behavior of the three-component Potts model on a square lattice

The critical behavior of the three-component Potts model on a square lattice has been studied using the Monte Carlo method. Systems with linear dimensions $L\times L=N$, $L=10\div320$ are considered. Based on the theory of finite-dimensional scaling, static critical indices are calculated: heat capacity $\alpha$, susceptibility $\gamma$, magnetization $\beta$ and the critical index of the correlation radius $\nu$. It is found that the obtained critical indices for the three-component Potts model on a square lattice coincide quite well with the data for the rigid hexagon model, to which the two-dimensional Potts model with the number of spin states $q=3$ can be reduced.