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24 Dec 2010: New Paper!

We have a new paper published in ArXiv on packing hard spheres in cylindrical channels, see: http://arxiv.org/abs/1012.3684


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HARD SPHERE PACKING IN CYLINDRICAL CHANNELS

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.

© Adil Mughal 2012 adil.m.mughal@gmail.com