Normal modes analysis of the microscopic dynamics in hard discs
| dc.creator | Brito, Carolina | |
| dc.creator | Wyart, Matthieu | |
| dc.date | 2008-04-15 | |
| dc.date | 2008-05-09 | |
| dc.date.accessioned | 2026-07-07T09:37:42Z | |
| dc.date.available | 2026-07-07T09:37:42Z | |
| dc.description | We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally stable structure, in particular it di splays a frequency scale $ω^*\sim p^{1/2}$, where $p$ is the pressure and (ii) gives a faithful representation of the short-time dyn amics. This brings further evidences that the boson peak near the glass transition corresponds to the relaxation of marginal modes of a we akly-coordinated structure, and implies that the mean square displacement in the glass phase is anomalously large and goes as $< δR^2 > \sim p^{-3/2}$, a prediction that we check numerically. | |
| dc.description | 5 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0804.2439 | |
| dc.identifier | http://arxiv.org/abs/0804.2439 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160550 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.title | Normal modes analysis of the microscopic dynamics in hard discs | |
| dc.type | text |