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Is Random Close Packing of Spheres Well Defined?

by: S. Torquato, T. M. Truskett, P. G. Debenedetti
Physical Review Letters, Vol. 84, No. 10. (6 Mar 2000), pp. 2064-2067.

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Despite its long history; there are many fundamental issues concerning random packings of spheres that remain elusive; including a precise definition of random close packing (RCP). We argue that the current picture of RCP cannot be made mathematically precise and support this conclusion via a molecular dynamics study of hard spheres using the Lubachevsky-Stillinger compression algorithm. We suggest that this impasse can be broken by introducing the new concept of a maximally random jammed state; which can be made precise.


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