Monte Carlo simulation of the critical behavior near the percolation threshold with invaded cluster algorithm

Abstract

Abstract 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.