The critical behavior of the two-dimensional three-state Potts model on a triangular lattice with quenched disorder

•Calculated static critical exponents of 2D disordered Potts model.•Detected the independence of critical exponent relations for β/ν and γ/ν.•Shown the weak universality of the critical behavior of 2D disordered Potts model. The critical behavior of the two-dimensional three-state antiferromagnetic Potts model with quenched disorder on a triangular lattice is investigated by the Monte Carlo method. Static critical exponents for the susceptibility γ, the magnetization β, the specific heat α, and the exponent of the correlation radius ν at spin concentrations p = 0.90; 0.80; 0.70; 0.65 are calculated on the basis of the finite-size scaling theory. The critical exponents are found to be increasing with a rise in disorder without violating the feasibility of scaling equation 2βν+γν=d, while relations γ/ν and β/ν remain unchanged. This behavior of the critical exponents we have come to associate with the weak universality of a critical behavior typical for disordered systems.