corner
corner

Phys. Rev. Lett. 52, 1516–1519 (1984)

Critical Properties of the Void Percolation Problem for Spheres

Download: PDF (223 kB) Buy this article Export: BibTeX or EndNote (RIS)

W. T. Elam
Naval Research Laboratory, Washington, D.C. 20375

A. R. Kerstein
Sandia National Laboratories, Livermore, California 94550

J. J. Rehr
University of Washington, Seattle, Washington 98195

Received 13 January 1984; published in the issue dated 23 April 1984

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.

© 1984 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.52.1516
DOI:
10.1103/PhysRevLett.52.1516
PACS:
64.60.Fr, 02.70.+d, 05.20.-y