The method outlined by Kerstein has been used to simulate percolation of the void region between overlapping, randomly located spheres. The computed threshold is in agreement with the previous result of Kertész. In addition, three critical exponents are computed and are found to be in agreement with the universality hypothesis. This constitutes the first such evaluation for a three-dimensional nonlattice problem and the first test of universality for a percolation problem with no underlying network defined a priori.

• Received 13 January 1984

DOI:https://doi.org/10.1103/PhysRevLett.52.1516