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Random close packing of spheres in a round cell
Authors:Long T To
Affiliation:a School of Electrical Engineering, ADFA-UNSW, Canberra, ACT 2600, Australia
b Department of Engineering, Faculty of Engineering and Information Technology, Australian National University, Canberra, ACT 0200, Australia
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.
Keywords:C240   R114
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