DENSE PACKINGS OF RANDOM BINARY ASSEMBLIES OF DISKS

The most dense random packings of binary assemblies of hard disks in t he plane are considered for the case of disks with a small difference in their radii. An expression for the dependence of the packing densit y on the relative difference in disk sizes, disk concentration, and me an value of the gaps is derived. The computer simulation of the random dense packing is carried out using various algorithms and theoretical results are confirmed. The gap distribution is shown to be of the exp onential type for very dense random packings.