Statistical analysis of random sphere packings with variable radius distribution

Kristin Lochmann (1) , Luc Oger (2) , Dietrich Stoyan (1)

1 Institut für Stochastik [Freiberg]
2 GMCM - Groupe matière condensée et matériaux

Many solid state systems can be modelled by means of packings of hard spheres of variable size. Therefore the spatial-statistical analysis of the geometrical structure of such packings is of great scientific interest. The present paper starts with the application of classical characteristics such as packing fraction, coordination number and pair correlation function for the characterization of sphere packings. Then follows the application of tessellation-based methods, which includes the analysis of correlations between cell face and coordination numbers. Finally, a method for the search for crystalline sub-structures is presented.

Mots clés: pattern formation; granular materials; sphere packing; spatial statistics; computer simulation; porous materials

Domaines: Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Kristin Lochmann, Luc Oger, Dietrich Stoyan. Statistical analysis of random sphere packings with variable radius distribution. Solid State Sciences, 2006, 07, pp.110. ⟨10.1016/j.solidstatesciences.2006.07.011⟩. ⟨hal-00107350⟩