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Computer Simulation of the Phase Transitions in Three-Dimensional Weakly Diluted Spin Systems

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Abstract

A computer simulation of the phase transitions in a three-dimensional weakly diluted five-state Potts model on a simple cubic lattice is performed. Calculations are carried out for spin systems with periodic boundary conditions at spin concentrations of p = 1.0 and p = 0.90. Systems with linear dimensions L × L × L = N, L = 10–80 are considered. The temperature dependences of the specific heat, susceptibility, and magnetization as a function of the linear dimensions of the studied systems are obtained. Using the fourth-order Binder cumulants and using histogram-data analysis, it is shown that the presence of weak disorder in the form of nonmagnetic impurities of the order c = 10% (c = 1 – p, p is the spin concentration) does not affect the phase transition of the first-order.

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CONFLICT OF INTEREST

The authors declare that they have no conflicts of interest.

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Authors and Affiliations

  1. Amirkhanov Institute of Physics of the Dagestan Federal Research Center, Russian Academy of Sciences, 367010, Makhachkala, Russia

    A. K. Murtazaev

  2. Dagestan Federal Research Center of the Russian Academy of Sciences, 367032, Makhachkala, Russia

    A. B. Babaev

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  1. A. K. Murtazaev
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  2. A. B. Babaev
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Correspondence to A. B. Babaev.

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Murtazaev, A.K., Babaev, A.B. Computer Simulation of the Phase Transitions in Three-Dimensional Weakly Diluted Spin Systems. J. Surf. Investig. 16, 221–225 (2022). https://doi.org/10.1134/S1027451022030156

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