Is Random Close Packing of Spheres Well Defined?

Details Is Random Close Packing of Spheres Well Defined? Is Random Close Packing of Spheres Well Defined?

2000-03-25

arxiv.org/abs/cond-mat/0003416v1

Physical Review Letters 84, 2064-2067 (2000)

Physics

Condensed Matter

Statistical Mechanics

6 pages total, 2 figures

Scientific paper

10.1103/PhysRevLett.84.2064

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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