Critical behavior of a cubic-lattice 3D Ising model for systems with quenched disorder |
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Authors: | A K Murtazaev I K Kamilov A B Babaev |
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Institution: | (1) Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, 367003, Russia |
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Abstract: | A Monte Carlo method is applied to simulate the static critical behavior of a cubic-lattice 3D Ising model for systems with quenched disorder. Numerical results are presented for the spin concentrations of p = 1.0, 0.95, 0.9, 0.8, 0.6 on L × L × L lattices with L = 20–60 under periodic boundary conditions. The critical temperature is determined by the Binder cumulant method. A finite-size scaling technique is used to calculate the static critical exponents α, β, γ, and ν (for specific heat, susceptibility, magnetization, and correlation length, respectively) in the range of p under study. Universality classes of critical behavior are discussed for three-dimensional diluted systems. |
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