Publikation:

Properties of stable ensembles of Euclidean random matrices

Vorschaubild

Dateien

Baumgaertel_2-9eezopzvksm69.pdf
Baumgaertel_2-9eezopzvksm69.pdfGröße: 1.24 MBDownloads: 14

Datum

2024

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-2-9eezopzvksm69
DOI (zitierfähiger Link)
https://doi.org/10.1103/physreve.109.014120
ArXiv-ID

Internationale Patentnummer

Link zur Lizenz
oops

Angaben zur Forschungsförderung

Deutsche Forschungsgemeinschaft (DFG): SFB 1432 CO7

Projekt

Open Access-Veröffentlichung
Open Access Green

Sammlungen

Physik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
530 Physik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Verknüpfte Datensätze

Zitieren

ISO 690BAUMGÄRTEL, 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}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/69170">
    <dcterms:issued>2024-01-17</dcterms:issued>
    <dcterms: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.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <dc:creator>Baumgärtel, Philipp</dc:creator>
    <dc:creator>Vogel, Florian</dc:creator>
    <dc:contributor>Baumgärtel, Philipp</dc:contributor>
    <dc:contributor>Fuchs, Matthias</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2024-01-25T08:42:19Z</dc:date>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/69170/1/Baumgaertel_2-9eezopzvksm69.pdf"/>
    <dcterms:title>Properties of stable ensembles of Euclidean random matrices</dcterms:title>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/69170"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Fuchs, Matthias</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2024-01-25T08:42:19Z</dcterms:available>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/69170/1/Baumgaertel_2-9eezopzvksm69.pdf"/>
    <dc:contributor>Vogel, Florian</dc:contributor>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
Diese Publikation teilen