Energy transport in jammed sphere packings

Ning Xu; Vincenzo Vitelli; Matthieu Wyart; Andrea J. Liu; Sidney R. Nagel

doi:10.1103/PhysRevLett.102.038001

Energy transport in jammed sphere packings

Ning Xu, Vincenzo Vitelli, Matthieu Wyart, Andrea J. Liu, Sidney R. Nagel

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	038001
Journal	Physical Review Letters
Volume	102
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.102.038001
State	Published - Jan 20 2009

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.102.038001

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AU - Vitelli, Vincenzo

AU - Wyart, Matthieu

AU - Liu, Andrea J.

AU - Nagel, Sidney R.

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AB - 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.

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Energy transport in jammed sphere packings

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