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INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS: CONDENSED MATTER J. Phys.: Condens. Matter 17 (2005) S2361S2390 doi:10.1088/0953-8984/17/24/001
 

Summary: INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS: CONDENSED MATTER
J. Phys.: Condens. Matter 17 (2005) S2361­S2390 doi:10.1088/0953-8984/17/24/001
Variations around disordered close packing
T Aste
Department of Applied Mathematics, RSPhysSE, Australian National University, 0200, Australia
Received 4 April 2005
Published 3 June 2005
Online at stacks.iop.org/JPhysCM/17/S2361
Abstract
The most suitable paradigmsand tools for investigatingthe structure of granular
packings are reviewed and discussed in the light of some recent empirical
results. I examine the `typical' local configurations, their relative occurrences,
their correlations, their organization and the resulting overall hierarchical
structure. The analysis of very large samples of monosized spheres packed
in a disorderly fashion, with packing fractions ranging from 0.58 to 0.64,
demonstrates the existence of clear relations between the geometrical structure
and the packing density . It is observed that the local Delaunay and VoronoĻi
volumes have distributions which decay exponentially at large volumes, and
have characteristic coefficients proportional to . The average number of
contacts per sphere grows linearly with . The topological density increases

  

Source: Aste, Tomaso - Department of Applied Mathematics, Australian National University

 

Collections: Physics