Packing Nonspherical Particles - Princeton University

φ
1
0.9
0.8
0.76
0.7595
1.15 1.1525
Maximally Dense Superball Packings
Jiao, Stillinger & Torquato, PRE (2009)
O 1 -Lattice Packing
O 0 -Lattice Packing
C 0 Lattice-Packing
C 1 -Lattice Packing
0.7
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
p
Maximally dense packings are certain families of lattices for p ≥ 1/2.
Densest ellipsoid packings are non-lattices.
Maximal density is nonanalytic at the “sphere” point (p = 1) (in
contrast to ellipsoids) and increases dramatically as p moves away
from unity.
Rich phase behavior depending on p (Batten, Stillinger & Torquato
2010; Ni et al. 2012).
. – p. 14/28