Minkowski tensors and local structure metrics: Amorphous and crystalline sphere packings

G.E. Schröder-Turk; R. Schielein; S.C. Kapfer; F.M. Schaller; G.W. Delaney; T. Senden; M. Saadatfar; T. Aste; K. Mecke

doi:10.1063/1.4811939

Back

Minkowski tensors and local structure metrics: Amorphous and crystalline sphere packings

Conference paper

Open access

Minkowski tensors and local structure metrics: Amorphous and crystalline sphere packings

G.E. Schröder-Turk, R. Schielein, S.C. Kapfer, F.M. Schaller, G.W. Delaney, T. Senden, M. Saadatfar, T. Aste and K. Mecke

AIP Publishing

7th International Conference on Micromechanics of Granular Media: Powder and Grains 2013 (Sydney, Australia, 08/07/2013–12/07/2013)

2013

DOI: https://doi.org/10.1063/1.4811939

Files and links (2)

pdf

minkowski.pdfDownload View

Published (Version of Record) Open Access

url

Free to Read *No subscription requiredView

Abstract

Robust and sensitive tools to characterise local structure are essential for investigations of granular or particulate matter. Often local structure metrics derived from the bond network are used for this purpose, in particular Steinhardt's bond-orientational order parameters ql . Here we discuss an alternative method, based on the robust characterisation of the shape of the particles' Voronoi cells, by Minkowski tensors and derived anisotropy measures. We have successfully applied these metrics to quantify structural changes and the onset of crystallisation in random sphere packs. Here we specifically discuss the expectation values of these metrics for simple crystalline unimodal packings of spheres, consisting of single spheres on the points of a Bravais lattice. These data provide an important reference for the discussion of anisotropy values of disordered structures that are typically of relevance in granular systems. This analysis demonstrates that, at least for sufficiently high packing fractions above φ > 0.61, crystalline sphere packs exist whose Voronoi cells are more anisotropic with respect to a volumetric moment tensor than the average value of Voronoi cell anisotropy in random sphere packs.

Details

Title: Minkowski tensors and local structure metrics: Amorphous and crystalline sphere packings
Authors/Creators: G.E. Schröder-Turk (Author/Creator)
R. Schielein (Author/Creator)
S.C. Kapfer (Author/Creator)
F.M. Schaller (Author/Creator) - Max Planck Institute for Dynamics and Self-Organization
G.W. Delaney (Author/Creator)
T. Senden (Author/Creator)
M. Saadatfar (Author/Creator)
T. Aste (Author/Creator)
K. Mecke (Author/Creator)
Conference: 7th International Conference on Micromechanics of Granular Media: Powder and Grains 2013 (Sydney, Australia, 08/07/2013–12/07/2013)
Publisher: AIP Publishing
Identifiers: 991005545564507891
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Conference paper
Note: AIP Conference Proceedings

Metrics

94 File views/ downloads

91 Record Views