Investigation of the influence of quenched nonmagnetic impurities on phase transitions in the three-dimensional Potts model |
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Authors: | A K Murtazaev A B Babaev G Ya Aznaurova |
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Institution: | (1) Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, ul. 26 Bakinskikh komissarov 94, Makhachkala, 367003 Dagestan, Russia;(2) Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025 Dagestan, Russia |
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Abstract: | The influence of quenched nonmagnetic impurities on phase transitions in the three-dimensional Potts model with the number of spin states q = 3 is investigated using the Wolff single-cluster algorithm of the Monte Carlo method. The systems with linear sizes L = 20–44 at the spin concentrations p = 1.0, 0.9, 0.8, and 0.7 are analyzed. It is demonstrated with the use of the method of fourth-order Binder cumulants that the second-order phase transition occurs in the model under consideration at the spin concentrations p = 0.9, 0.8, and 0.7 and that the first-order phase transition is observed in the pure model (p = 1.0). The static critical exponents α (heat capacity), γ (susceptibility), β (magnetization), and ν (correlation length) are calculated in the framework of the finite-size scaling theory. The problem regarding the universality classes of the critical behavior of weakly diluted systems is discussed. |
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