Mean nearest-neighbor distance in random packings of hard [ital D]-dimensional spheres
Journal Article
·
· Physical Review Letters; (United States)
- Princeton Materials Institute and Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08540 (United States)
We derive the first nontrivial rigorous bounds on the mean distance between nearest neighbors [lambda] in ergodic, isotropic packings of hard [ital D]-dimensional spheres that depend on the packing fraction and nearest-neighbor distribution function. Several interesting implications of these bounds for equilibrium as well as nonequilibrium ensembles are explored. For an equilibrium ensemble, we find accurate analytical approximations for [lambda] for [ital D]=2 and 3 that apply up to random close packing. Our theoretical results are in excellent agreement with available computer-simulation data.
- OSTI ID:
- 6476515
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 74:12; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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