Investigation of the influence of weak magnetic fields on thermodynamic properties of the Potts model with the number of spin states q=4 on a hexagonal lattice
Ramazanov M. K.1,2, Murtazaev А. K.1,2, Magomedov M. A.1,2, Mazagaeva M. K.1,2, Dzhamaludinov M. R.1,2
1Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
2Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
Email: sheikh77@mail.ru

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The replica exchange algorithm of the Monte Carlo method was used to study phase transitions and thermodynamic properties of the two-dimensional Potts model with the number of spin states q=4 on a hexagonal lattice in weak magnetic fields. The studies were carried out for the interval of the magnetic field value 0.0≤ H≤3.0 with a step of 1.0. It is found that a first-order phase transition is observed in the considered range of field values. Keywords: Frustration, Phase transitions, Monte Carlo method, Potts model.
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