Disordered surface vibrations in jammed sphere packings

D.M. Sussman, C.P. Goodrich, A.J. Liu, S.R. Nagel, Soft Matter 11 (2015) 2745–2751.

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Journal Article | Published | English
Author
Sussman, Daniel M.; Goodrich, Carl PeterIST Austria ; Liu, Andrea J.; Nagel, Sidney R.
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.
Publishing Year
Date Published
2015-02-15
Journal Title
Soft Matter
Volume
11
Issue
14
Page
2745-2751
IST-REx-ID

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Sussman DM, Goodrich CP, Liu AJ, Nagel SR. Disordered surface vibrations in jammed sphere packings. Soft Matter. 2015;11(14):2745-2751. doi:10.1039/c4sm02905d
Sussman, D. M., Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2015). Disordered surface vibrations in jammed sphere packings. Soft Matter, 11(14), 2745–2751. https://doi.org/10.1039/c4sm02905d
Sussman, Daniel M., Carl Peter Goodrich, Andrea J. Liu, and Sidney R. Nagel. “Disordered Surface Vibrations in Jammed Sphere Packings.” Soft Matter 11, no. 14 (2015): 2745–51. https://doi.org/10.1039/c4sm02905d.
D. M. Sussman, C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Disordered surface vibrations in jammed sphere packings,” Soft Matter, vol. 11, no. 14, pp. 2745–2751, 2015.
Sussman DM, Goodrich CP, Liu AJ, Nagel SR. 2015. Disordered surface vibrations in jammed sphere packings. Soft Matter. 11(14), 2745–2751.
Sussman, Daniel M., et al. “Disordered Surface Vibrations in Jammed Sphere Packings.” Soft Matter, vol. 11, no. 14, Royal Society of Chemistry, 2015, pp. 2745–51, doi:10.1039/c4sm02905d.

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