Spatial distribution functions of random packed granular spheres obtained by direct particle imaging

Details Spatial distribution functions of random packed granular spheres obtained by direct particle imaging Spatial distribution functions of random packed granular spheres obtained by direct particle imaging

2010-01-05

arxiv.org/abs/1001.0625v1

Physics

Condensed Matter

Materials Science

4 pages, 4 figures

Scientific paper

We measure the two-point density correlations and Voronoi cell distributions of cyclically sheared granular spheres obtained with a fluorescence technique and compare them with random packing of frictionless spheres. We find that the radial distribution function $g(r)$ is captured by the Percus-Yevick equation for initial volume fraction $\phi=0.59$. However, small but systematic deviations are observed because of the splitting of the second peak as $\phi$ is increased towards random close packing. The distribution of the Voronoi free volumes deviates from postulated $\Gamma$ distributions, and the orientational order metric $Q_6$ shows disorder compared to numerical results reported for frictionless spheres. Overall, these measures show significant similarity of random packing of granular and frictionless spheres, but some systematic differences as well.

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