パーコレーション過程の計算機実験--3次元格子におけるクラスタサイズ分布とジップ則について

By means of the Monte Carlo simulation,cluster-size distributions are examined for percolation processes on a simple cubic lattice. Zipf\u27s law,which has been originally found in statistical linguistics,exists in the relation between cluster sizes and their ranks on finite lattices. The law is predicted to appear at the threshold p on the infinite lattice