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arXiv · 1110.4956

Densest columnar structures of hard spheres from sequential deposition

Ho-Kei Chan
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Abstract

The rich variety of densest columnar structures of identical hard spheres inside a cylinder can surprisingly be constructed from a simple and computationally fast sequential deposition of cylinder-touching spheres, if the cylinder-to-sphere diameter ratio D is within [1,2.7013]. This provides a direction for theoretically deriving all these densest structures and for constructing such densest packings with nano-, micro-, colloidal or charged particles, which all self-assemble like hard spheres.

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Ho-Kei Chan. 2011-11-16. Densest columnar structures of hard spheres from sequential deposition. https://doi.org/10.1103/physreve.84.050302

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