Critical Behavior of the q = 3, 4-Potts model on Quasiperiodic Decagonal Lattices

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.

8 pages, 11 figures

References in corpus (2)

• High-precision determination of universal amplitude ratios for the q=3 Potts model in 2d
• Universal ratios of critical amplitudes in the Potts model universality class

Cited by in corpus (3)

• A non-absorbing SIR stochastic lattice gas model on hybrid lattices
• Kauffman cellular automata on quasicrystal topology
• Critical behavior of the stochastic SIR model on random bond-diluted lattices