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Critical behavior of the q=3,4-Potts model on quasiperiodic decagonal lattices

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  • Ferraz, Carlos Handrey Araujo

Abstract

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.

Suggested Citation

  • Ferraz, Carlos Handrey Araujo, 2015. "Critical behavior of the q=3,4-Potts model on quasiperiodic decagonal lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 90-99.
    • Handle: RePEc:eee:phsmap:v:440:y:2015:i:c:p:90-99
    DOI: 10.1016/j.physa.2015.08.021
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