Some observations on the random packing of hard ellipsoids

P. M. Chaikin, Aleksandar Donev, Weining Man, Frank H. Stillinger, Salvatore Torquato

Research output: Contribution to journalArticle

Abstract

Recent studies of random packing of ellipsoids show a cusplike increase in the packing density as the aspect ratio deviates from 1 (spheres) followed by a maximum and then a strong density decrease at a higher aspect ratio. We introduce a simple one-dimensional model, the "Paris" parking problem with ellipses randomly oriented along a curb, with many of the same features. Our results suggest that the cusp results from approaching a terminal (jammed) random state, the density increase results from relaxing a parameter constraint (orientation or size of a particle) in the random packing, and the density decrease results from excluded volume effects. We also discuss the isostatic conjecture for strict and local jamming.

Original languageEnglish (US)
Pages (from-to)6960-6965
Number of pages6
JournalIndustrial and Engineering Chemistry Research
Volume45
Issue number21
DOIs
StatePublished - Oct 11 2006

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Aspect ratio
Curbs
Parking
Jamming
parking
ellipse
effect
particle
parameter

ASJC Scopus subject areas

  • Polymers and Plastics
  • Environmental Science(all)
  • Chemical Engineering (miscellaneous)

Cite this

Some observations on the random packing of hard ellipsoids. / Chaikin, P. M.; Donev, Aleksandar; Man, Weining; Stillinger, Frank H.; Torquato, Salvatore.

In: Industrial and Engineering Chemistry Research, Vol. 45, No. 21, 11.10.2006, p. 6960-6965.

Research output: Contribution to journalArticle

Chaikin, P. M. ; Donev, Aleksandar ; Man, Weining ; Stillinger, Frank H. ; Torquato, Salvatore. / Some observations on the random packing of hard ellipsoids. In: Industrial and Engineering Chemistry Research. 2006 ; Vol. 45, No. 21. pp. 6960-6965.
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