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Geometrical properties of a random packing of hard spheres |
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| Affiliation: | 1. TETIS, INRAE, AgroParisTech, CIRAD, CNRS, Université Montpellier, Montpellier, France;2. Department of Geography, Ludwig-Maximilians Universität München, Luisenstr. 37, 80333 Munich, Germany;3. School of Technology, Environments and Design, College of Sciences and Engineering, University of Tasmania, Private Bag 76, Hobart 7001, Australia;1. Humboldt-Universität zu Berlin, Institute of Biology/Plant Physiology, Philippstraße 13 Building 12, 10115 Berlin, Germany |
| Abstract: | Some geometrical properties of a random packing of identical hard spheres generated by a ballistic deposition model with complete restructuring are investigated. The length distribution of chords in the space between spheres is numerically calculated and is shown to have an exponential form (up to chord lengths of about five diameters) as conjectured by Dixmier. The anisotropic properties of the packing are numerically investigated and are shown to modify the Dixmier relation between the packing fraction and the average coordination number. |
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