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- W1978222730 abstract "The static critical behavior of the three-state Potts model on the two-dimensional (2D) quasiperiodic octagonal tiling with free boundary conditions is investigated by means of the importance-sampling Monte Carlo method and the single histogram technique. The results strongly suggest that the static critical exponents ensuremath{nu} and ensuremath{gamma} are the same as in 2D periodic lattices whereas the different estimates of ensuremath{alpha} are not really consistent with the 2D periodic value. The infinite tiling critical temperature, ${mathrm{kT}}_{c}/Jensuremath{approx}1.557,$ is slightly higher than the critical temperature of the three-state Potts model on the square lattice, in agreement with previous studies on the Ising model on quasiperiodic tilings." @default.
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- W1978222730 date "1997-11-01" @default.
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- W1978222730 title "Finite-size behavior of the three-state Potts model on the quasiperiodic octagonal tiling" @default.
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- W1978222730 doi "https://doi.org/10.1103/physrevb.56.10782" @default.
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