Session Q53: Packing, Self-Assembly, and Granular Memory

11:15 AM–2:15 PM, Wednesday, February 29, 2012
Room: 153B

Sponsoring Unit: DCMP
Chair: Salvatore Torquato, Princeton University

Abstract ID: BAPS.2012.MAR.Q53.5

Abstract: Q53.00005 : Novel structures from the densest binary sphere packings

12:03 PM–12:15 PM

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  Adam Hopkins
    (Princeton University)

  Yang Jiao
    (Princeton University)

  Frank Stillinger
    (Princeton University)

  Salvatore Torquato
    (Princeton University)

The densest binary sphere packings have historically been very difficult to determine. The only rigorously known packings in the $\alpha$-$x$ plane of small to large sphere radius ratio $\alpha$ and small sphere relative concentration $x$ are at the Kepler limit $\alpha \rightarrow 1$, where packings are monodisperse. Utilizing an implementation of the Torquato-Jiao linear programming algorithm, we find many distinct families of novel densest binary packings and construct a phase diagram for all known densest packings over the $\alpha$-$x$ plane. In particular, these families of densest binary packings are examples of complicated, mechanically stable structures that can appear in colloidal systems without any anisotropic or attractive interactions.

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