Abstract
A computer program generated 3000 interpenetrating spheres in a cubic container (with periodic boundary conditions which ensured complete continuity at all boundaries) and used a relaxation technique to reduce overlaps. When the average overlap fell below (exceeded) an empirical value, sphere radii were increased (decreased). This simulated vibration caused the nominal solids fraction to increase slowly to 0.6381. Further iterations with a very gradual decrease in sphere radii produced an overlap-free packing with a density of 0.6366. This packing, which is isotropic and homogeneous, is characterized by very few contacts and many non-touching neighbours. The radial distribution function is similar to that obtained experimentally. In particular, the first peak is split into two maxima.
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