### Abstract

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 language | English (US) |
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Article number | 005 |

Pages (from-to) | L103-L107 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 23 |

Issue number | 3 |

DOIs | |

State | Published - Dec 1 1990 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Torquato, S., Lu, B., & Rubinstein, J. (1990). Nearest-neighbour distribution function for systems on interacting particles.

*Journal of Physics A: Mathematical and General*,*23*(3), L103-L107. [005]. https://doi.org/10.1088/0305-4470/23/3/005