Simple random matrix model for the vibrational spectrum of structural glasses

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

To better understand the surprising low-frequency vibrational modes in structural glasses, where the density of states D(ω) 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(ω) 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(ω). When there is a finite probability of bond weights approaching zero strength, the intermediate regime displays a scaling consistent with D(ω)∼ω4, independent of network coordination and system size, just as in simulated structural glasses.

Original languageEnglish (US)
Article number042908
JournalPhysical Review E
Volume98
Issue number4
DOIs
StatePublished - Oct 25 2018

Fingerprint

Matrix Models
Random Matrices
vibrational spectra
Low Frequency
very low frequencies
glass
Density of States
Sparse matrix
Mean Field
Disorder
vibration mode
plateaus
Ensemble
statistics
disorders
Scaling
low frequencies
Statistics
scaling
Prediction

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Simple random matrix model for the vibrational spectrum of structural glasses. / Stanifer, E.; Morse, P. K.; Middleton, Arthur Alan; Manning, Mary Elizabeth.

In: Physical Review E, Vol. 98, No. 4, 042908, 25.10.2018.

Research output: Contribution to journalArticle

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