TY - JOUR

T1 - Nearest-neighbour distribution function for systems on interacting particles

AU - Torquato, S.

AU - Lu, B.

AU - Rubinstein, J.

N1 - Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

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U2 - 10.1088/0305-4470/23/3/005

DO - 10.1088/0305-4470/23/3/005

M3 - Article

AN - SCOPUS:22044445332

VL - 23

SP - L103-L107

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 3

M1 - 005

ER -