This article is cited in 9 papers

Lattice dynamics

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

Daghestan Institute of Physics after Amirkhanov, Makhachkala, Dagestan, Russia

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.

Keywords: phase transitions, critical phenomena, Potts model, Monte-Carlo method.

Received: 18.06.2019
Revised: 18.06.2019
Accepted: 18.06.2019

DOI: 10.21883/FTT.2019.11.48428.520

 English version: Physics of the Solid State, 2019, 61:11, 2172–2176

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