Abstract

The static critical behaviour of the three-state Potts model on the two-dimensional (2D) quasiperiodic octagonal tiling is studied by means of Monte Carlo simulations. Our investigation has been carried out using a finite-size scaling analysis of octagonal tilings with free boundary conditions. The estimated critical exponents α, γ and v strongly suggest that the three-state Potts model on the octagonal tiling belongs to the same universality class as the three-state Potts model on 2D periodic lattices.

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