Next: Mean Free Path
Up: Void-Void Proximity
Previous: Void-Void Proximity
Nearest neighbor void-void proximity equations estimate the surface-surface distance between nearest neighbor air voids. This is calculated by starting from a given air void and finding the shortest distance from the surface of that void to the surface of any other air void. This is repeated for a number of different air voids. This collection of random distances, when sorted and plotted versus its relative rank, form an estimated void-void proximity cumulative distribution function.
As will be demonstrated subsequently, void-void proximity spacings have a subtle complexity. For an air-void system composed of polydispersed sphere diameters, the average void-void spacing originating from large spheres is smaller than the average void-void spacing originating from small spheres. Therefore, the ``mean void-void spacing'' is an ill-defined quantity when stated without additional qualifiers, since it varies over the distribution of sphere diameters.