Random close packing of spheres in a round cell

Long T. To, Zbigniew H. Stachurski*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    20 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 languageEnglish
    Pages (from-to)161-171
    Number of pages11
    JournalJournal of Non-Crystalline Solids
    Volume333
    Issue number2
    DOIs
    Publication statusPublished - 1 Feb 2004

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