Properties of stable ensembles of Euclidean random matrices.
Phys Rev E
; 109(1-1): 014120, 2024 Jan.
Article
em En
| MEDLINE
| ID: mdl-38366508
ABSTRACT
We study the spectrum of a system of coupled disordered harmonic oscillators in the thermodynamic limit. This Euclidean random matrix ensemble has been suggested as a model for the low temperature vibrational properties of glass. Exact numerical diagonalization is performed in three and two spatial dimensions, which is accompanied by a detailed finite size analysis. It reveals a low-frequency regime of sound waves that are damped by Rayleigh scattering. At large frequencies localized modes exist. In between, the central peak in the vibrational density of states is well described by Wigner's semicircle law for not too large disorder, as is expected for simple random matrix systems. We compare our results with predictions from two recent self-consistent field theories.
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Bases de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2024
Tipo de documento:
Article
País de afiliação:
Alemanha