Volume 111, Number 2, July 2015
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||05 August 2015|
Non-universal Voronoi cell shapes in amorphous ellipsoid packs
1 Institut für Theoretische Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg - 91058, Erlangen, Germany
2 Max Planck Institute for Dynamics and Self-Organization (MPIDS) - 37077 Goettingen, Germany
3 Laboratoire de Physique Statistique, Ecole Normale Supérieure, UPMC, CNRS - 75231 Paris Cedex 05, France
4 Applied Maths, RSPhysSE, The Australian National University, Canberra - Canberra, ACT 0200, Australia
5 CSIRO Computational Informatics - Private Bag 33, Clayton South, Victoria, 3168, Australia
6 Dipartimento di Fisica, “Sapienza” Università di Roma - P.le A. Moro 2, 00185 Roma, Italy
7 Université de Luxembourg, Physics and Materials Research Unit - L-1511 Luxembourg, Luxemburg
8 Murdoch University, School of Engineering & IT, Mathematics & Statistics - Murdoch, WA 6150, Australia
Received: 13 April 2015
Accepted: 9 July 2015
In particulate systems with short-range interactions, such as granular matter or simple fluids, local structure determines the macroscopic physical properties. We analyse local structure metrics derived from the Voronoi diagram of oblate ellipsoids, for various aspect ratios α and global packing fractions . We focus on jammed static configurations of frictional ellipsoids, obtained by tomographic imaging and by discrete element method simulations. The rescaled distribution of local packing fractions , defined as the ratio of particle volume and its Voronoi cell volume, is found to be independent of the particle aspect ratio, and coincide with results for sphere packs. By contrast, the typical Voronoi cell shape, quantified by the Minkowski tensor anisotropy index , points towards a difference between random packings of spheres and those of oblate ellipsoids. While the average cell shape β of all cells with a given value of is similar in dense and loose jammed sphere packings, the structure of dense and loose ellipsoid packings differs substantially such that this does not hold true.
PACS: 45.70.-n – Granular systems / 61.43.-j – Disordered solids
© EPLA, 2015
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