A Novel Decomposition of the Structure of Jammed Packings

ORAL

Abstract

We use simulations of 2D bidisperse disks to determine the properties of jammed packings and investigate the statistical mechanics of these systems. We have created a novel method for classifying structural subunits of a packing, using the structures to calculate relevant physical quantities. The classification scheme is based on a 20 type decomposition of the Delaunay triangles extracted from the centers of the particles in the packing. We find that the distribution of each type has a universal form, independent of total number of particles N in the packing for N=8-10,000, and that the parameters describing this form saturate as N is increased beyond N=20. We measure the distribution of the particle connections, the area distributions of the different structures, and nearest neighbor distributions. We explore the extent to which the nearest-neighbor distributions can predict the properties of the entire packing.

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Authors

  • Mark Kanner

    CUNY Graduate Center and the Benjamin Levich Institute and Physics Department of the City College of New York

  • Mark Shattuck

    CUNY Graduate Center and the Benjamin Levich Institute and Physics Department of the City College of New York, Benjamin Levich Institute and Physics Department of The City College of New York, CUNY Graduate Center and the Benjamin Levich Institute and Physics Department of The City College of New York

  • Corey O'Hern

    Yale University, Departments of Mechanical Engineering \& Materials Science, and Physics, Yale University, Mechanical Engineering \& Materials Science, and Physics, Yale University, Departments of Mechanical Engineering and Physics, Yale University, Departments of Mechanical Engineering \& Materials Science and Physics, Yale University, Departments of Mechanical Engineering \& Materials Science and Physics, Yale University, New Haven, Connecticut 06520, Department of Mechanical Engineering \& Materials Science, Yale University, Yale University, Dpt of Mechanical Engineering