Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 440, Issue -, Pages 90-99Publisher
ELSEVIER
DOI: 10.1016/j.physa.2015.08.021
Keywords
Quasiperiodic decagonal lattices; q-Potts model; Critical exponents; Monte Carlo simulation
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In this study, we performed Monte Carlo simulations of the q = 3, 4-Potts model on quasiperiodic decagonal lattices (QDL) to assess the critical behavior of these systems. Using the single histogram technique in conjunction with the finite-size scaling analysis, we estimate the infinite lattice critical temperatures and the leading critical exponents for q = 3 and q = 4 states. Our estimates for the critical exponents on QDL are in good agreement with the exact values on 2D periodic lattices, supporting the claim that both the q = 3 and q = 4 Potts model on quasiperiodic lattices belong to the same universality class as those on 2D periodic lattices. (C) 2015 Elsevier B.V. All rights reserved.
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