Random close packing of spheres in a round cell

Long T. To; Zbigniew H. Stachurski

doi:10.1016/j.jnoncrysol.2003.09.041

Random close packing of spheres in a round cell

Long T. To
, Zbigniew H. Stachurski^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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.

Original language	English
Pages (from-to)	161-171
Number of pages	11
Journal	Journal of Non-Crystalline Solids
Volume	333
Issue number	2
DOIs	https://doi.org/10.1016/j.jnoncrysol.2003.09.041
Publication status	Published - 1 Feb 2004

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10.1016/j.jnoncrysol.2003.09.041

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AB - 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.

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Random close packing of spheres in a round cell

Abstract

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