Vibrations in glasses and Euclidean random matrix theory

2001/10/21 by T. S. Grigera, T S Grigera, V Martín-Mayor +5 · 2 citations
Materials Science · Physics and Astronomy · #Domain (mathematical analysis) #Euclidean distance #Euclidean domain #Euclidean geometry #Material Dynamics and Properties #Matrix (chemical analysis) #Nonlinear Photonic Systems #Quantum Electrodynamics and Casimir Effect #Random matrix #Random vibration #Simple (philosophy) #cond-mat

paper · pdf · doi:10.1088/0953-8984/14/9/306

published as J.Phys.:Condens. Matter 14 (2002) 2167-2179 · 11 pages, 7 postscript figures, Proceedings of Statphys 21

arxiv created 2001/10/21 · openalex publication_date 2002/02/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study numerically and analytically a simple off-lattice model of scalar harmonic vibrations by means of Euclidean random matrix theory. Since the spectrum of this model shares the most puzzling spectral features with the high-frequency domain of glasses (non-Rayleigh broadening of the Brillouin peak, boson peak and secondary peak), Euclidean random matrix theory provides a single and fairly simple theoretical framework for their explanation.

Citations

• High frequency sound and the boson peak in amorphous silica
• Tunneling states in amorphous solids
• Anomalous low-temperature thermal properties of glasses and spin glasses

Cited by

• Boson Peak and its Relation to Acoustic Attenuation in Glasses
• Vibrations and Diverging Length Scales Near the Unjamming Transition