Repulsive Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic

Carl F. Schreck, Thibault Bertrand, Corey S. O’Hern, and M. D. Shattuck
Phys. Rev. Lett. 107, 078301 – Published 12 August 2011
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Abstract

Many jammed particulate systems, such as granular and colloidal materials, interact via repulsive contact forces. We find that these systems possess no harmonic regime in the large system limit (N) for all compressions Δϕ studied, and at jamming onset Δϕ0 for all N. We perform fixed energy simulations following perturbations with amplitude δ along eigendirections of the dynamical matrix. The fluctuations abruptly spread to all modes for δδc (where a single contact breaks) in contrast to linear and weakly nonlinear behavior. For δ>δc, all discrete modes disappear into a continuous frequency band. δc scales with 1/N and Δϕ, which limits harmonic behavior to only overcompressed systems. The density of vibrational modes deviates strongly from that predicted from the dynamical matrix when the system enters the nonharmonic regime, which significantly affects its mechanical and transport properties.

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  • Received 1 December 2010

DOI:https://doi.org/10.1103/PhysRevLett.107.078301

© 2011 American Physical Society

Authors & Affiliations

Carl F. Schreck1, Thibault Bertrand2, Corey S. O’Hern3,1, and M. D. Shattuck4

  • 1Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA
  • 2Département Physique, Ecole Normale Supérieure de Cachan, 61 Avenue du Président Wilson, 94235 Cachan, France
  • 3Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520-8286, USA
  • 4Benjamin Levich Institute and Physics Department, The City College of the City University of New York, New York, New York 10031, USA

Comments & Replies

Comment on “Repulsive Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic”

Carl P. Goodrich, Andrea J. Liu, and Sidney R. Nagel
Phys. Rev. Lett. 112, 049801 (2014)

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Vol. 107, Iss. 7 — 12 August 2011

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