| Issue |
Europhys. Lett.
Volume 72, Number 3, November 2005
|
|
|---|---|---|
| Page(s) | 486 - 492 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2005-10245-5 | |
| Published online | 23 September 2005 | |
Geometric origin of excess low-frequency vibrational modes in weakly connected amorphous solids
1
Service de Physique de l'Etat Condensé (CNRS URA 2464), DSM/DRECAM CEA Saclay, 91191 Gif-sur-Yvette, France
2
The James Frank Institute, The University of Chicago - Chicago, IL 60637, USA
Received:
5
April
2005
Accepted:
6
September
2005
Glasses have an excess number of low-frequency vibrational modes in
comparison with most crystalline solids. We show that such a feature
necessarily occurs in solids with low coordination. In particular, we
analyze the density 
of normal-mode frequencies ω
and the nature of the low-frequency normal modes of a recently
simulated system (O'Hern C., Silbert L. E.,
Liu A. J. and Nagel S. R., Phys. Rev. E,
68 (2003) 011306) comprised of weakly compressed spheres at
zero temperature. We account for the observed a) convergence of
toward a non-zero constant as the frequency goes
to zero, b) appearance of a low-frequency cutoff 
, and c)
power law increase of with compression. We introduce a
length scale l* which characterizes the vibrational modes that
appear at .
PACS: 81.05.Rm – Porous materials; granular materials / 82.70.-y – Disperse systems; complex fluids / 83.80.Fg – Granular solids
© EDP Sciences, 2005
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