Simulation of the five-component Potts model on triangular lattice by the Monte Carlo method in pure and diluted modes

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Abstract

The Monte Carlo method is used to simulate the five-component Potts model on a triangular lattice in pure and diluted modes. Systems with linear dimensions L × L = N and L = 20÷120 in units of interatomic length are considered at spin concentration p = 1.00 and 0.90. The obtained numerical data show that a phase transition of the first kind is observed in the five-component Potts model on a triangular lattice according to the theory. Introduction of an insignificant nonmagnetic order into the considered model leads to the phase transition of the second kind. The fourth-order method of Binder cumulants and the histogram analysis are used to refine the value of localization of the temperature Tl of phase transition of the first kind in the undiluted mode.

About the authors

G. Y. Ataeva

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Author for correspondence.
Email: ataeva20102014@mail.ru
Russian Federation, Makhachkala, 367030

A. B. Babaev

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: ataeva20102014@mail.ru
Russian Federation, Makhachkala, 367030

A. K. Murtazaev

Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: ataeva20102014@mail.ru
Russian Federation, Makhachkala, 367030

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