Density of vibrational modes in partially crystalline granular packings

ORAL

Abstract

Numerous numerical results have shown that systems of monodisperse frictionless disks crystallize readily and that disordered mechanically stable packings are rarely obtained. We numerically investigate the dependence of the cluster size distribution on system size and quench rate. We also investigate the effect of crystallization on the vibrational response outside the linear response regime. We study changes in the density of vibrational modes due to changes in the average crystallite size and perturbation amplitude in partially crystalline granular packings. In particular we determine how the number of contacts (above the isostatic value) affects anharmonic response in granular packings.

*Acknowledgement: NSF CBET-0967262, CBET-0968013

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Authors

  • Thibault Bertrand

    • Yale University, Dpt of Mechanical Engineering

  • Carl Schreck

    • Yale University, Dpt of Physics
    • Yale University

  • Mark Shattuck

    • Benjamin Levich Institute and Physics Department, The City College of the New York
    • Benjamin Levich Institute and Physics Department, The City College of the City University of New York, New York, New York 10031
    • Benjamin Levich Institute and Department of Physics, City College of New York of the City University of New York
    • Benjamin Levich Institute and Physics Department, The City College of the City University 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