Physics of the Solid State
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Computer simulation of phase transitions in low-dimensional Potts models
Murtazaev A. K.1,2, Babaev A. B.1,2, Magomedov M. A.1,2
1Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia
2Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
Email: b_albert78@mail.ru

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The Monte Carlo method is used to study phase transitions in the two-dimensional Potts model with the number of states spin q=3 on square and hexagonal lattices. Considered systems with linear dimensions Lx L=N, L=21/102. The obtained numerical data indicate that in the considered In the Potts model, a second-order phase transition is observed in accordance with the analytical theory. The Binder cumulants method of the fourth order determines the values of the critical points of the Potts model on different lattices. Keywords: Phase transitions, Potts model, Monte Carlo, thermodynamic parameters, critical temperature.
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