Densest columnar structures of hard spheres from sequential deposition
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 is D∈[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.
- Publication:
-
Physical Review E
- Pub Date:
- November 2011
- DOI:
- 10.1103/PhysRevE.84.050302
- arXiv:
- arXiv:1110.4956
- Bibcode:
- 2011PhRvE..84e0302C
- Keywords:
-
- 45.70.Cc;
- 62.23.St;
- 81.16.Dn;
- 81.16.Rf;
- Static sandpiles;
- granular compaction;
- Complex nanostructures including patterned or assembled structures;
- Self-assembly;
- Nanoscale pattern formation;
- Mathematical Physics;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 4 pages, 5 figures