Site percolation in random networks
Abstract
The sitepercolation threshold has been calculated for randomly coordinated networks based on a model of computergenerated randomly packed hard spheres (RPHS). Each network is generated by allowing each sphere to coordinate to (i.e., be in contact with) every other sphere up to a given coordinating radius r, and the percolation threshold is calculated for different values of r. When the percolation threshold is plotted against the reciprocal of the coordination number, the results are well described by two straight lines intersecting at a point corresponding to a coordination number of 12, in agreement with results of regular lattices. It is suggested that this result forms a useful empirical rule for site percolation in random networks with applications in, for example, random particulate systems.
 Publication:

Physical Review B
 Pub Date:
 April 1980
 DOI:
 10.1103/PhysRevB.21.3725
 Bibcode:
 1980PhRvB..21.3725P