Energy Transport in Jammed Sphere Packings

Ning Xu, Vincenzo Vitelli, Matthieu Wyart, Andrea J. Liu, and Sidney R. Nagel
Phys. Rev. Lett. 102, 038001 – Published 21 January 2009

Abstract

We calculate the normal modes of vibration in jammed sphere packings to obtain the energy diffusivity, a spectral measure of transport. At the boson peak frequency, we find an Ioffe-Regel crossover from a diffusivity that drops rapidly with frequency to one that is nearly frequency independent. This crossover frequency shifts to zero as the system is decompressed towards the jamming transition, providing unambiguous evidence of a regime in frequency of nearly constant diffusivity. Such a regime, postulated to exist in glasses to explain the temperature dependence of the thermal conductivity, therefore appears to arise from properties of the jamming transition.

  • Figure
  • Figure
  • Received 19 June 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.038001

©2009 American Physical Society

Authors & Affiliations

Ning Xu1,2, Vincenzo Vitelli1, Matthieu Wyart3, Andrea J. Liu1, and Sidney R. Nagel2

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania, 19104
  • 2The James Frank Institute, The University of Chicago, Chicago, Illinois, 60637
  • 3HSEAS, Harvard University, Cambridge, Massachusetts, 02138

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Issue

Vol. 102, Iss. 3 — 23 January 2009

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