Phyllotactic description of hard sphere packing in cylindrical channels

Details Phyllotactic description of hard sphere packing in cylindrical channels Phyllotactic description of hard sphere packing in cylindrical channels

2010-12-16

arxiv.org/abs/1012.3684v2

Phys. Rev. Lett., 106, 115704, 2011

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

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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