Properties of chord length distributions across ordered and disordered packing of hard disks.
Chord length distributions across packings--random or not--of equal hard disks have a universal divergence which is proportional to n(c)/square root of l for small chords, where n(c) is the mean number of contacts. A similar behavior is derived for a population of polydisperse disks. Monte Carlo simulations across various kinds of regular and random packings are in full agreement with the theoretical predictions.
Guéron
David
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CEA-Centre d'Etudes de Saclay, DEN/DM2S/SERMA/LEPP, 91191 Gif-sur-Yvette, France.
Mazzolo
Alain
A