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Is Random Close Packing of Spheres Well Defined?Physical Review Letters, Vol. 84, No. 10. (6 March 2000), 2064.
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AbstractDespite 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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