Optimal Packings of Superdisks and the Role of Symmetry
2008; American Physical Society; Volume: 100; Issue: 24 Linguagem: Inglês
10.1103/physrevlett.100.245504
ISSN1092-0145
AutoresYang Jiao, Frank H. Stillinger, Salvatore Torquato,
Tópico(s)Supramolecular Self-Assembly in Materials
ResumoAlmost all studies of the densest particle packings consider convex particles. Here, we provide exact constructions for the densest known two-dimensional packings of superdisks whose shapes are defined by |x{1}|{2p}+|x{2}|{2p} or=0.5) and concave (0<p<0.5) particles. Our candidate maximal packing arrangements are achieved by certain families of Bravais lattice packings, and the maximal density is nonanalytic at the "circular-disk" point (p=1) and increases dramatically as p moves away from unity. Moreover, we show that the broken rotational symmetry of superdisks influences the packing characteristics in a nontrivial way.
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