Non-universal Voronoi cell shapes in amorphous ellipsoid packs

Schröter M, Schaller F, Kapfer S, Hilton JE, Cleary PW, Mecke K, de Michele C, Schilling T, Saadatfar M, Delaney G, Schröder-Turk G (2015)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Book Volume: 111

Article Number: 24002

Journal Issue: 2

DOI: 10.1209/0295-5075/111/24002

Abstract

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 and global packing fractions φg. 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 φl, 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 β = β02,0, 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.

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APA:

Schröter, M., Schaller, F., Kapfer, S., Hilton, J.E., Cleary, P.W., Mecke, K.,... Schröder-Turk, G. (2015). Non-universal Voronoi cell shapes in amorphous ellipsoid packs. EPL - Europhysics Letters, 111(2). https://dx.doi.org/10.1209/0295-5075/111/24002

MLA:

Schröter, Matthias, et al. "Non-universal Voronoi cell shapes in amorphous ellipsoid packs." EPL - Europhysics Letters 111.2 (2015).

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