Packings and assemblies of hard convex polyhedra

ORAL

Abstract

Dense packings of hard polyhedra have been studied for centuries due to their mathematical aesthetic and more recently for their applications in fields such as granular matter, amorphous matter, and biology. The spontaneous organization of hard polyhedra under compression has only recently been addressed, demonstrating a plethora of assembled complex structures. The infinite pressure dense packings and the finite pressure, thermodynamically assembled structures for a given shape, however, are often different. In this talk we investigate connections between those two limits for convex polyhedra. We discuss the possibility of predicting one limit from the other, discuss some general rules, and link with previous works.

*Authors acknowledge support from: FP7 Marie Curie Actions of the European Commission Grant Agreement PIOF-GA-2011-302490 Actsa; NSF Award No.DMS-1204686; DOD/ASD(R\&E) Award No. N00244-09-1-0062.

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Authors

  • Daphne Klotsa

    • Department of Chemical Engineering, University of Michigan

  • Elizabeth R. Chen

    • School of Engineering and Applied Sciences, Harvard University
    • Harvard University

  • Pablo F. Damasceno

    • Department of Chemical Engineering, University of Michigan
    • University of Michigan, Dept. of App. Phys.
    • Applied Physics

  • Michael Engel

    • Department of Chemical Engineering, University of Michigan
    • University of Michigan
    • University of Michigan, Dept. of Chem. Eng.
    • Chemical Engineering Department

  • Sharon Glotzer

    • Department of Chemical Engineering, University of Michigan
    • University of Michigan
    • Department of Chemical Engineering, University of Michigan, Ann Arbor
    • Materials Science and Engineering Department, University of Michigan, Ann Arbor MI