Normal modes analysis of the microscopic dynamics in hard discs

Details Normal modes analysis of the microscopic dynamics in hard discs Normal modes analysis of the microscopic dynamics in hard discs

2008-04-15

arxiv.org/abs/0804.2439v2

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures

Scientific paper

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 $\omega^*\sim p^{1/2}$, 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 $< \delta R^2 > \sim p^{-3/2}$, a prediction that we check numerically.

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