Disordered surface vibrations in jammed sphere packings
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 ω* frequency is controlled by ΔZ = $$\langle$$Z$$\rangle$$ - 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.
- Authors:
-
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Univ. of Chicago, IL (United States)
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1596345
- Grant/Contract Number:
- FG02-03ER46088
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Soft Matter
- Additional Journal Information:
- Journal Volume: 11; Journal Issue: 14; Journal ID: ISSN 1744-683X
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Surface vibrations, jammed packings, disorder
Citation Formats
Sussman, Daniel M., Goodrich, Carl P., Liu, Andrea J., and Nagel, Sidney R. Disordered surface vibrations in jammed sphere packings. United States: N. p., 2015.
Web. doi:10.1039/c4sm02905d.
Sussman, Daniel M., Goodrich, Carl P., Liu, Andrea J., & Nagel, Sidney R. Disordered surface vibrations in jammed sphere packings. United States. https://doi.org/10.1039/c4sm02905d
Sussman, Daniel M., Goodrich, Carl P., Liu, Andrea J., and Nagel, Sidney R. Wed .
"Disordered surface vibrations in jammed sphere packings". United States. https://doi.org/10.1039/c4sm02905d. https://www.osti.gov/servlets/purl/1596345.
@article{osti_1596345,
title = {Disordered surface vibrations in jammed sphere packings},
author = {Sussman, Daniel M. and Goodrich, Carl P. and Liu, Andrea J. and Nagel, Sidney R.},
abstractNote = {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 ω* frequency is controlled by ΔZ = $\langle$Z$\rangle$ - 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.},
doi = {10.1039/c4sm02905d},
journal = {Soft Matter},
number = 14,
volume = 11,
place = {United States},
year = {Wed Feb 11 00:00:00 EST 2015},
month = {Wed Feb 11 00:00:00 EST 2015}
}
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Works referencing / citing this record:
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