Phase Transitions and the Thermodynamic Properties of the Potts Model with the Number of Spin States  q  = 4 on a Triangular Lattice

A. K. Murtazaev; D. R. Kurbanova; M. K. Ramazanov

doi:10.1134/S1063783419110234

Phase Transitions and the Thermodynamic Properties of the Potts Model with the Number of Spin States q = 4 on a Triangular Lattice

Authors: Murtazaev A.K.¹, Kurbanova D.R.¹, Ramazanov M.K.¹
Affiliations:
1. Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences
Issue: Vol 61, No 11 (2019)
Pages: 2172-2176
Section: Lattice Dynamics
URL: https://journal-vniispk.ru/1063-7834/article/view/206655
DOI: https://doi.org/10.1134/S1063783419110234
ID: 206655

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Abstract

The phase transitions and the thermodynamic properties of the two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a triangular lattice are studied on the base of the Wang–Landau algorithm of the Monte Carlo method. The phase transition characters are analyzed using the method of the four-order Binder cumulants and the histogram analysis of the data. It is found that a first-order phase transition is observed in the model under study.