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Phys Rev Lett. 2014 Dec 31;113(26):268001. doi: 10.1103/PhysRevLett.113.268001. Epub 2014 Dec 24.

Contact formation in random networks of elongated objects.

Physical review letters

A Ekman, A Miettinen, T Tallinen, J Timonen

Affiliations

  1. Department of Physics and Nanoscience Center, University of Jyväskylä, P.O. Box 35, FI-40014 Jyväskylä, Finland.
  2. Department of Physics and Nanoscience Center, University of Jyväskylä, P.O. Box 35, FI-40014 Jyväskylä, Finland and Saint-Petersburg State University of Information Technologies, Mechanics and Optics, 49 Kronverksky Avenue, 197101 St. Petersburg, Russia.

PMID: 25615387 DOI: 10.1103/PhysRevLett.113.268001

Abstract

The effect of steric hindrance is an important aspect of granular packings as it gives rise to, e.g., limitations on the densities of ordered and disordered packings, both of which are essentially defined by the geometry of the constituents. Here we focus on the random packing of rods via deposition and their distributions of contact number and segment length. Such statistical properties are relevant for mechanical properties of the structures, but the (quite large) steric effects on them have not been addressed in previous studies. We therefore develop a theory that describes the statistical properties of rod packings, while taking into account that the deposited rods cannot overlap and thus induce steric hindrances. The distributions derived from the theory are compared with experimental results and numerical simulations of networks constructed via deposition. The results explain the non-Poisson statistics observed in the experiments and show that the induced steric range of the rods can be large compared to their diameter and decreases with compactification of the pile, implying local orientational ordering of the structure.

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