Dense packings of spheres in cylinders: Simulations
Abstract
We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and tabulated in detail up to D/d=2.873 (ratio of cylinder and sphere diameters). This extends previous computations into the range of structures which include internal spheres that are not in contact with the cylinder.
- Publication:
-
Physical Review E
- Pub Date:
- May 2012
- DOI:
- 10.1103/PhysRevE.85.051305
- arXiv:
- arXiv:1203.3373
- Bibcode:
- 2012PhRvE..85e1305M
- Keywords:
-
- 45.70.-n;
- 64.75.Yz;
- 81.16.Rf;
- 87.18.Hf;
- Granular systems;
- Self-assembly;
- Nanoscale pattern formation;
- Spatiotemporal pattern formation in cellular populations;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 18 pages, 14 figures, 1 table, to be submitted to PRE