Densest columnar structures of hard spheres from sequential deposition

Details Densest columnar structures of hard spheres from sequential deposition Densest columnar structures of hard spheres from sequential deposition

2011-10-22

arxiv.org/abs/1110.4956v3

Physical Review E, Vol. 84, No. 050302(R) (2011)

Physics

Mathematical Physics

4 pages, 5 figures

Scientific paper

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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