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Monte Carlo simulation of bond percolation on square lattice with complex neighborhoods

Monte Carlo simulation of bond percolation on square lattice with complex neighborhoods

Based on an effective single cluster growth algorithm, bond percolation on square lattice with the nearest neighbors, the next nearest neighbors, up to the 5th nearest neighbors are investigated by Monte Carlo simulations. The bond percolation thresholds for more than 20 lattices are deduced, and the correlations between percolation threshold …