Random close packing of spheres in a round cell
Date
2004
Authors
To, Long T
Stachurski, Zbigniew
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
The paper describes the method of construction of cells containing large numbers (105-106) of close packed spheres, ranging in packing fractions from 0.2 to 0.60. The cells are constructed in a round form, utilizing varying surface curvature to prevent ordered packing. The properties of the cells are described by a series of distributions: (i) polar angle of contact points, (ii) maximum displacement of loose spheres, (iii) and Voronoi volumes for individual spheres. The cells of varying density appear to show the liquid-to-solid transition. All cells described here contain loose spheres. It is proposed that cells with zero loose spheres are ideal amorphous solids. Ideal amorphous solids are characterized by a number of elements, described herein.
Description
Keywords
Keywords: Condensation; Crystalline materials; Crystallography; Mathematical models; Statistical methods; Vectors; Amorphous solids; Amorphous structures; Liquid-to-solid transitions; Solidity; Amorphous materials
Citation
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Source
Journal of Non-crystalline Solids
Type
Journal article