2-POINT PROBABILITY FUNCTION FOR DISTRIBUTIONS OF ORIENTED HARD ELLIPSOIDS

The macroscopic properties of two-phase random heterogeneous media depend upon an infinite sequence of n-point functions S n(i) (x1,x2,...,xn) giving the joint probability of finding n points with positions x1,x2,...,xn all in phase i. This paper reports the first study and calculation of the two-point probability function S2(i) for distributions of oriented, hard spheroids with eccentricity ∈ in a matrix. This is a useful model of statistically anisotropic two-phase media, enabling one to examine the special limiting cases of oriented disks (∈ = 0), spheres (∈ = 1), and oriented needles (e= ∞). © 1990 American Institute of Physics.