Issue |
Europhys. Lett.
Volume 76, Number 1, October 2006
|
|
---|---|---|
Page(s) | 149 - 155 | |
Section | Interdisciplinary physics and related areas of science and technology | |
DOI | https://doi.org/10.1209/epl/i2006-10238-x | |
Published online | 30 August 2006 |
On the rigidity of a hard-sphere glass near random close packing
1
Instituto de Física, Universidade Federal do Rio Grande do Sul 91501-970 Porto Alegre, Brazil
2
CEA - Service de Physique de l'Etat Condensé, Centre d'Etudes de Saclay 91191 Gif-sur-Yvette, France
3
Division of Engineering and Applied Sciences, Harvard University, Pierce Hall 29 Oxford Street, Cambridge, MA 02138, USA
Received:
24
March
2006
Accepted:
10
August
2006
We study theoretically and numerically the microscopic cause of the
rigidity of hard-sphere glasses near their maximum packing. We show
that, after coarse-graining over time, the hard-sphere interaction can
be described by an effective potential which is exactly logarithmic at
the random close packing . This allows to define normal modes,
and to apply recent results valid for elastic networks: rigidity is a
non-local property of the packing geometry, and is characterized by
some length scale l* which diverges at
(Wyart M.,
Nagel S. R. and Witten T. A.,
Europhys. Lett., 72 (2005) 486; Wyart M.,
Silbert L. E., Nagel S. R. and Witten
T. A., Phys. Rev. E, 72 (2005) 051306). We compute
the scaling of the bulk and shear moduli near
, and speculate
on the possible implications of these results for the glass
transition.
PACS: 81.05.Rm – Porous materials; granular materials / 82.70.-y – Disperse systems; complex fluids / 64.70.Pf – Glass transitions
© EDP Sciences, 2006
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