Mean nearest-neighbor distance in random packings of hard D-dimensional spheres.

  • Torquato
  • Published 1995 in Physical review letters


We derive the first nontrivial rigorous bounds on the mean distance between nearest neighbors l in ergodic, isotropic packings of hard 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… (More)

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