Improving the Density of Jammed Disordered Packings Using Ellipsoids

@article{Donev2004ImprovingTD,
  title={Improving the Density of Jammed Disordered Packings Using Ellipsoids},
  author={Aleksandar Donev and Ibrahima Ciss{\'e} and D Sachs and Evan A. Variano and Frank H. Stillinger and Robert Connelly and Salvatore Torquato and Paul M. Chaikin},
  journal={Science},
  year={2004},
  volume={303},
  pages={990 - 993}
}
Packing problems, such as how densely objects can fill a volume, are among the most ancient and persistent problems in mathematics and science. For equal spheres, it has only recently been proved that the face-centered cubic lattice has the highest possible packing fraction \batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{amsmath} \pagestyle{empty} \begin{document} \({\varphi}={\pi}{/}\sqrt{18}{\approx}0.74\) \end{document}. It is… Expand

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References

SHOWING 1-10 OF 73 REFERENCES
Diversity of order and densities in jammed hard-particle packings.
TLDR
This investigation shows that, even in the large-system limit, jammed systems of hard spheres can be generated with a wide range of packing fractions from phi approximately 0.52 to the fcc limit, indicating that the density alone does not uniquely characterize a packing. Expand
Geometric properties of random disk packings
Random packings ofN⩽2000 rigid disks in the plane, subject to periodic boundary conditions on a square primitive cell, have been generated by a concurrent construction which treats all disks on anExpand
Multiplicity of Generation, Selection, and Classification Procedures for Jammed Hard-Particle Packings †
TLDR
It is shown that there is a multiplicity of generation, selection, and classification procedures for jammed configurations of identical d-dimensional spheres, and the concept of rigidity percolation can be generalized to network glasses. Expand
Disks vs. spheres: Contrasting properties of random packings
Collections of random packings of rigid disks and spheres have been generated by computer using a previously described concurrent algorithm. Particles begin as infinitesimal moving points, grow inExpand
The pursuit of perfect packing
Prefaces How Many Sweets in the Jar? Loose Change and Tight Packing A Teasing but Tractable Problem A Handful of Coins Order and Disorder Hard Problems with Hard Spheres The Greengrocer's DilemmaExpand
Is random close packing of spheres well defined?
TLDR
It is argued that the current picture of RCP cannot be made mathematically precise and support this conclusion via a molecular dynamics study of hard spheres using the Lubachevsky-Stillinger compression algorithm. Expand
Random packings of spheres and spherocylinders simulated by mechanical contraction.
  • S. R. Williams, A. Philipse
  • Materials Science, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
TLDR
A simulation technique for creating dense random packings of hard particles is introduced, particularly suited to handle particles of different shapes, and Comparisons between the equilibrium phase diagram for hard spherocylinders and the densest possible amorphous packings have interesting implications on the crystallization of sphero cylinders as a function of aspect ratio. Expand
Molecular dynamics study of the dynamical properties of an assembly of infinitely thin hard rods
We present molecular dynamics (MD) simulations of a system of N (N=100–500) infinitely thin hard rods of length L (‘hard needles’). An algorithm is described which is reasonably fast and yet isExpand
Orientational order in random packings of ellipses
By means of Monte Carlo simulations, we examine the behavior of random packings of hard ellipses formed by pouring into a two-dimensional container. The particles pack so that their semimajor axesExpand
Testing the thermodynamic approach to granular matter with a numerical model of a decisive experiment
TLDR
Considering particles of different sizes in a slowly sheared dense granular system, an effective temperature is extracted from a relation connecting their diffusivity and mobility, and an explicit computation is performed to show that the effective temperature measured from this relation coincides with the Edwards configurational temperature. Expand
...
1
2
3
4
5
...