Fractal properties of the percolating backbone in three dimensions

Abstract

A recursive algorithm to determine the backbone of the two-dimensional percolating cluster is adjusted to measure the fractal properties of the backbone of the three-dimensional percolating cluster. The specific properties measured are the fractal dimensionality of the backbone, dBBf=1.75+or-0.04, the chemical dimensionality, dt=1.26+or-0.03 and the minimum path dimensionality dmin=1.39+or-0.03.