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Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear

Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear

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KRÜGER, Matthias Helmut Günter, Matthias FUCHS, 2009. Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear

@unpublished{Kruger2009Non-E-9156, title={Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear}, year={2009}, author={Krüger, Matthias Helmut Günter and Fuchs, Matthias} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/9156"> <dc:rights>deposit-license</dc:rights> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/9156"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T17:54:05Z</dcterms:available> <dcterms:abstract xml:lang="eng">We investigate the relation between mobility and diffusivity for Brownian particles under steady shear near the glass transition, using mode coupling approximations. For the two directions perpendicular to the shear direction, the particle motion is diffusive at long times and the mobility reaches a finite constant. Nevertheless, the Einstein relation holds only for the short-time in-cage motion and is violated for long times. In order to get the relation between diffusivity and mobility, we perform the limit of small wavevector for the relations derived previously [Phys. Rev. Lett. 102 (2009), 135701], without further approximation. We find good agreement to simulation results. Furthermore, we split the extra term in the mobility in an exact way into three terms. Two of them are expressed in terms of mean squared displacements. The third is given in terms of the (less handy) force-force correlation function.</dcterms:abstract> <dc:creator>Krüger, Matthias Helmut Günter</dc:creator> <dc:creator>Fuchs, Matthias</dc:creator> <dc:contributor>Fuchs, Matthias</dc:contributor> <dc:contributor>Krüger, Matthias Helmut Günter</dc:contributor> <dc:format>application/pdf</dc:format> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T17:54:05Z</dc:date> <dcterms:title>Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear</dcterms:title> <dc:language>eng</dc:language> <dcterms:issued>2009</dcterms:issued> </rdf:Description> </rdf:RDF>

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