Statistical analysis of random sphere packings with variable radius distribution
Résumé
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.