Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation

Influence of disorder in the form of frustration on the thermodynamic behavior of a two-dimensional three-vertex Potts model has been studied by the Monte Carlo method, taking into account the nearest and next-nearest neighbors. Systems with linear sizes of $L\times L = N$ ($L$ = 9–48) on a triangular lattice have been considered. It has been shown that in the case of $J_{1}>$ 0 and $J_{2}<$ 0 frustrations appear in the spin system within the interval of 0.5 $\le|r|\le$ 1.0. The model undergoes a phase transition outside this region.