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Issue 14, 2015
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Disordered surface vibrations in jammed sphere packings

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Abstract

We study the vibrational properties near a free surface of disordered spring networks derived from jammed sphere packings. In bulk systems, without surfaces, it is well understood that such systems have a plateau in the density of vibrational modes extending down to a frequency scale ω*. This frequency is controlled by ΔZ = 〈Z〉 − 2d, the difference between the average coordination of the spheres and twice the spatial dimension, d, of the system, which vanishes at the jamming transition. In the presence of a free surface we find that there is a density of disordered vibrational modes associated with the surface that extends far below ω*. The total number of these low-frequency surface modes is controlled by ΔZ, and the profile of their decay into the bulk has two characteristic length scales, which diverge as ΔZ−1/2 and ΔZ−1 as the jamming transition is approached.

Graphical abstract: Disordered surface vibrations in jammed sphere packings

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Article information


Submitted
30 Dec 2014
Accepted
11 Feb 2015
First published
11 Feb 2015

Soft Matter, 2015,11, 2745-2751
Article type
Paper

Disordered surface vibrations in jammed sphere packings

D. M. Sussman, C. P. Goodrich, A. J. Liu and S. R. Nagel, Soft Matter, 2015, 11, 2745
DOI: 10.1039/C4SM02905D

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