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2015-02

Multi-Sized Sphere Packings: Models and Recent Approaches

by Burtseva, L.; Valdez Salas, B.; Romero, R.; Werner, F..


Series: 2015-02, Preprints

MSC:
11H31 Lattice packing and covering
62G07 Density estimation

Abstract:
This paper summarizes theoretical and applied studies of the structure of mixtures, formulated as the packing of spheres with different sizes. The effects of the particle size and the shape (fine or coarse) on the packing density are described. We discuss the relationships between the particle size distribution and the packing properties. We also sketch the major approaches, which can be usefully applied in nanotechnologies for the modeling of a material structure. Such a kind of analysis can be used both in the theoretical consideration of material engineering problems and in the chemical industry. Potential applications of these results include a synthesis of nanomaterials, adsorbents, catalyst carriers and packings for chromatographic columns.

Keywords:
packing; sphere; sphere size distribution; density; simulation; Voronoy tesselation; Laguerre geometry