Mean nearest-neighbor distance in random 2D binary mixtures

Abstract

The two-dimensional, mean nearest-neighbor distances, in random sequential addition hard disc computer-generated patterns with mixtures of two circle diameters, have been studied. The mean nearest-neighbor distance at a given area fraction is a quadratic polynomial function of the circle diameter standard deviation. Deviations from the uniform case may be either positive or negative, with large deviations (10–25%) at large circle diameter standard deviations. Nearest-neighbor distance distributions for binary mixture patterns may be well fit by skewed normal distributions.