Diffusion of a sphere in a dilute solution of polymer coils

Krüger, Matthias; Rauscher, Markus

Diffusion of a sphere in a dilute solution of polymer coils

Dateien

diffusion_krueger.pdfGröße: 694.18 KBDownloads: 804

Datum

2009

Autor:innen

Krüger, Matthias

Rauscher, Markus

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Physik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Journal of chemical physics. 2009, 131, 094902. Available under: doi: 10.1063/1.3216108

Zusammenfassung

We calculate the short time and the long time diffusion coefficients of a spherical tracer particle in a polymer solution in the low density limit by solving the Smoluchowski equation for a two-particle system and applying a generalized Einstein relation (fluctuation dissipation theorem). The tracer particle as well as the polymer coils are idealized as hard spheres with a no-slip boundary condition for the solvent but the hydrodynamic radius of the polymer coils is allowed to be smaller than the direct-interaction radius.We take hydrodynamic interactions up to 11th order in the particle distance into account. For the limit of small polymers, the expected generalized Stokes Einstein relation is found. The long time diffusion coefficient also roughly obeys the generalized Stokes Einstein relation for larger polymers whereas the short time coefficient does not. We find good qualitative and quantitative agreement to experiments.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

KRÜGER, Matthias, Markus RAUSCHER, 2009. Diffusion of a sphere in a dilute solution of polymer coils. In: Journal of chemical physics. 2009, 131, 094902. Available under: doi: 10.1063/1.3216108

BibTex

@article{Kruger2009Diffu-9369,
  year={2009},
  doi={10.1063/1.3216108},
  title={Diffusion of a sphere in a dilute solution of polymer coils},
  volume={131},
  journal={Journal of chemical physics},
  author={Krüger, Matthias and Rauscher, Markus},
  note={Article Number: 094902}
}

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/123456789/9369">
    <dc:contributor>Krüger, Matthias</dc:contributor>
    <dc:creator>Rauscher, Markus</dc:creator>
    <dc:creator>Krüger, Matthias</dc:creator>
    <dcterms:abstract xml:lang="eng">We calculate the short time and the long time diffusion coefficients of a spherical tracer particle in a polymer solution in the low density limit by solving the Smoluchowski equation for a two-particle system and applying a generalized Einstein relation (fluctuation dissipation theorem). The tracer particle as well as the polymer coils are idealized as hard spheres with a no-slip boundary condition for the solvent but the hydrodynamic radius of the polymer coils is allowed to be smaller than the direct-interaction radius.We take hydrodynamic interactions up to 11th order in the particle distance into account. For the limit of small polymers, the expected generalized Stokes Einstein relation is found. The long time diffusion coefficient also roughly obeys the generalized Stokes Einstein relation for larger polymers whereas the short time coefficient does not. We find good qualitative and quantitative agreement to experiments.</dcterms:abstract>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T17:55:55Z</dc:date>
    <dcterms:title>Diffusion of a sphere in a dilute solution of polymer coils</dcterms:title>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:format>application/pdf</dc:format>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T17:55:55Z</dcterms:available>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/9369/1/diffusion_krueger.pdf"/>
    <dc:language>eng</dc:language>
    <dc:contributor>Rauscher, Markus</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dcterms:bibliographicCitation>First publ. in: Journal of chemical physics, 131 (2009), 094902</dcterms:bibliographicCitation>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/9369/1/diffusion_krueger.pdf"/>
    <dcterms:issued>2009</dcterms:issued>
    <dc:rights>terms-of-use</dc:rights>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/9369"/>
  </rdf:Description>
</rdf:RDF>