Random packing of disks in two dimensions

Journal Article · Sun Apr 15 04:00:00 EDT 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.41.4199· OSTI ID:6938414

Hinrichsen, E L; Feder, J; Jossang, T ^[1]

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1. Department of Physics, University of Oslo, Box 1048, Blindern, 0316 Oslo 3, Norway (NO)

The geometry of a random dense packing of disks of equal size obtained by compacting a random sequential adsorption configuration is discussed. The configuration is shown to be without any long-ranged order, and no local configurations of ordered domains were found. The fraction of area covered by disks is {theta}=0.772{plus minus}0.002, and the number of contacts per disk are 3.02{plus minus}0.03. It is argued that this random packing is a stable configuration close to the random loose-packed limit in two dimensions. The packing fraction of the compacted packing is close to a prediction we make of {theta}=0.78 for a random loose-packed configuration. Several statistical distributions calculated from the limiting geometry is studied. Both the area and circumference distributions of the Voronoi-Dirichlet polygons could be fitted to {Gamma} distribution functions.

• OSTI ID: 6938414
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:8; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

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