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Statistical Analysis of Simulated Random Packings of Spheres
Author(s) -
Bezrukov Alexander,
Bargieł Monika,
Stoyan Dietrich
Publication year - 2002
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/1521-4117(200205)19:2<111::aid-ppsc111>3.0.co;2-m
Subject(s) - spheres , isotropy , probability density function , hard spheres , mathematics , anisotropy , container (type theory) , pair distribution function , distribution (mathematics) , function (biology) , distribution function , radial distribution function , coordination number , correlation function (quantum field theory) , porosity , geometry , mathematical analysis , physics , materials science , statistics , optics , thermodynamics , biology , composite material , ion , spectral density , quantum mechanics , astronomy , evolutionary biology , molecular dynamics
Abstract This paper describes two algorithms for the generation of random packings of spheres with arbitrary diameter distribution. The first algorithm is the force‐biased algorithm of Mościński and Bargieł. It produces isotropic packings of very high density. The second algorithm is the Jodrey‐Tory sedimentation algorithm, which simulates successive packing of a container with spheres following gravitation. It yields packings of a lower density and of weak anisotropy. The results obtained with these algorithms for the cases of log‐normal and two‐point sphere diameter distributions are analysed statistically, i. e. standard characteristics of spatial statistics such as porosity (or volume fraction), pair correlation function of the system of sphere centres and spherical contact distribution function of the set‐theoretical union of all spheres are determined. Furthermore, the mean coordination numbers are analysed. These results are compared for both algorithms and with data from the literature based on other numerical simulations or from experiments with real spheres.