We investigated the critical behavior of the disordered three-dimensional Ising model with an impurity concentration close to the threshold of impurity percolation p = pc = 0.688 313 500 on high-performance computing systems. The system was updated using Metropolis algorithm and invaded cluster algorithm from initial configurations. The values of dynamic critical exponent z and static critical exponents β and v were obtained in this paper.

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In this work we study the non-equilibrium properties of Heisenberg ferromagnetic films using Monte Carlo simulations by short-time dynamic method. By exploring the short-time scaling dynamics, we have found thickness dependency of critical exponents z, θ′ and β/v for ferromagnetic thin film. For calculating the critical exponents of ferromagnetic films we considered systems with linear size L = 128 and layers number N = 2; 4; 6; 10. Starting from initial configurations, the system was updated with Metropolis algorithm at the critical temperatures