Vibrational spectra in glasses

The findings of X-ray and neutron scattering experiments on amorphous systems are interpreted within the framework of the theory of Euclidean random matrices. This allows to take into account the topological nature of the disorder, a key ingredient which strongly affects the vibrational spectra of t...

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Bibliographic Details
Authors: Grigera, T.S., Martín Mayor, Víctor, Parisi, G., Verrocchio, P.
Format: article
Publication Date:2002
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/60296
Online Access:https://hdl.handle.net/20.500.14352/60296
Access Level:Open access
Keyword:53
Frequency propagating modes
Instantaneous normal-modes
Vitreous silica
Disordered-systems
Forming liquids
Dynamics
Scattering
Approximation
Excitations.
Física-Modelos matemáticos
Description
Summary:The findings of X-ray and neutron scattering experiments on amorphous systems are interpreted within the framework of the theory of Euclidean random matrices. This allows to take into account the topological nature of the disorder, a key ingredient which strongly affects the vibrational spectra of those systems. We present a resummation scheme for a perturbative expansion in the inverse particle density, allowing an accurate analytical computation of the dynamical structure factor within the range of densities encountered in real systems.