Properties of stable ensembles of Euclidean random matrices

Baumgärtel, Philipp; Vogel, Florian; Fuchs, Matthias

Properties of stable ensembles of Euclidean random matrices

Dateien

Baumgaertel_2-9eezopzvksm69.pdfGröße: 1.24 MBDownloads: 9

Datum

2024

Angaben zur Forschungsförderung

Deutsche Forschungsgemeinschaft (DFG): SFB 1432 CO7

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Physik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review E. American Physical Society (APS). 2024, 109(1), 014120. ISSN 2470-0045. eISSN 2470-0053. Available under: doi: 10.1103/physreve.109.014120

Zusammenfassung

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.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

BAUMGÄRTEL, Philipp, Florian VOGEL, Matthias FUCHS, 2024. Properties of stable ensembles of Euclidean random matrices. In: Physical Review E. American Physical Society (APS). 2024, 109(1), 014120. ISSN 2470-0045. eISSN 2470-0053. Available under: doi: 10.1103/physreve.109.014120

BibTex

@article{Baumgartel2024-01-17Prope-69170,
  year={2024},
  doi={10.1103/physreve.109.014120},
  title={Properties of stable ensembles of Euclidean random matrices},
  number={1},
  volume={109},
  issn={2470-0045},
  journal={Physical Review E},
  author={Baumgärtel, Philipp and Vogel, Florian and Fuchs, Matthias},
  note={Article Number: 014120}
}

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Universitätsbibliographie

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