On the rigidity of a hard sphere glass near random close packing
| dc.creator | Brito, Carolina | |
| dc.creator | Wyart, Matthieu | |
| dc.date | 2005-12-09 | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T06:53:15Z | |
| dc.date.available | 2026-07-07T06:53:15Z | |
| dc.description | We study theoretically and numerically the microscopic cause of the mechanical stability 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 $ϕ_c$. This allows to define normal modes, and to apply recent results valid for elastic networks: mechanical stability is a non-local property of the packing geometry, and is characterized by some length scale $l^*$ which diverges at $ϕ_c$ [1, 2]. We compute the scaling of the bulk and shear moduli near $ϕ_c$, and speculate on the possible implications of these results for the glass transition. | |
| dc.description | 7 pages, 4 figures. Figure 4 had a wrong unit in abscissa, which was corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0512197 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0512197 | |
| dc.identifier | Europhys. Lett., 76 (1), pp. 149-155 (2006) | |
| dc.identifier | doi:10.1209/epl/i2006-10238-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105515 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | On the rigidity of a hard sphere glass near random close packing | |
| dc.type | text |