Year: 2018
Type: article
Abstract: To better understand the surprising low-frequency vibrational modes in structural glasses, where the density of states $D(\ensuremath{\omega})$ deviates from mean field predictions, we study the spectra of a large ensemble of sparse random matrices where disorder is controlled by the distribution of bond weights and network coordination. We find $D(\ensuremath{\omega})$ has three regimes: a very low-frequency regime that can be predicted analytically using extremal statistics, an intermediate regime with quasilocalized modes, and a plateau in $D(\ensuremath{\omega})$. When there is a finite probability of bond weights approaching zero strength, the intermediate regime displays a scaling consistent with $D(\ensuremath{\omega})\ensuremath{\sim}{\ensuremath{\omega}}^{4}$, independent of network coordination and system size, just as in simulated structural glasses.
Source: Physical review. E
Institution: Syracuse University
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2796844533