This article has an erratum: [erratum]
Volume 76, Number 1, October 2006
|Page(s)||149 - 155|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||30 August 2006|
On the rigidity of a hard-sphere glass near random close packing
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.