Phyllotactic description of hard sphere packing in cylindrical channels

Adil Mughal, H. K. Chan, D. Weaire

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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 various competing phases.

Original languageEnglish
Article number115704
Number of pages4
JournalPhysical Review Letters
Issue number11
Publication statusPublished - 16 Mar 2011




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