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arXiv · 1012.3684

Phyllotactic description of hard sphere packing in cylindrical channels

Adil Mughal·Ho Kei Chan·Denis Weaire
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Abstract

We develop a simple analytical theory that relates dense sphere packings in a cylinder to corresponding disk packings on its surface. It applies for ratios R=D/d (where d and D are the diameters of the hard spheres and the bounding cylinder, respectively) up to R=1+1/sin(pi/5). Within this range the densest packings are such that all spheres are in contact with the cylindrical boundary. The detailed results elucidate extensive numerical simulations by ourselves and others by identifying the nature of all competing phases.

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Adil Mughal, Ho Kei Chan, Denis Weaire. 2011-04-12. Phyllotactic description of hard sphere packing in cylindrical channels. https://doi.org/10.1103/physrevlett.106.115704

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