Nearest-neighbour distribution function for systems on interacting particles

S. Torquato, B. Lu, J. Rubinstein

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


One of the basic quantities characterising a system of interacting particles is the nearest-neighbour distribution function H(r). The authors give a general expression for H(r) for a distribution of D-dimensional spheres which interact with an arbitrary potential. Specific results for H(r) are obtained, for the first time, for D-dimensional hard spheres with D=1, 2 and 3. Their results for D=3 are shown to be in excellent agreement with Monte Carlo computer-simulation data for a wide range of densities. From H(r), one can determine other quantities of fundamental interest such as the mean nearest-neighbour distance and the random close-packing density.

Original languageEnglish (US)
Article number005
Pages (from-to)L103-L107
JournalJournal of Physics A: Mathematical and General
Issue number3
StatePublished - 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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