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Asymptotic laws for tagged-particle motion in glassy systems

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FUCHS, Matthias, Wolfgang GÖTZE, Matthias R. MAYR, 1998. Asymptotic laws for tagged-particle motion in glassy systems. In: Physical Review E. 58(3), pp. 3384-3399. Available under: doi: 10.1103/PhysRevE.58.3384

@article{Fuchs1998Asymp-4875, title={Asymptotic laws for tagged-particle motion in glassy systems}, year={1998}, doi={10.1103/PhysRevE.58.3384}, number={3}, volume={58}, journal={Physical Review E}, pages={3384--3399}, author={Fuchs, Matthias and Götze, Wolfgang and Mayr, Matthias R.} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:hasPart rdf:resource=""/> <dspace:isPartOfCollection rdf:resource=""/> <dc:creator>Mayr, Matthias R.</dc:creator> <dcterms:rights rdf:resource=""/> <dc:format>application/pdf</dc:format> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:title>Asymptotic laws for tagged-particle motion in glassy systems</dcterms:title> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="">2011-03-24T14:50:59Z</dcterms:available> <dcterms:issued>1998</dcterms:issued> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Fuchs, Matthias</dc:contributor> <dc:creator>Fuchs, Matthias</dc:creator> <dcterms:abstract xml:lang="eng">Within mode-coupling theory for structural relaxation in simple systems, the asymptotic laws and their leading-asymptotic correction formulas are derived for the motion of a tagged particle near a glass-transition singularity. These analytic results are compared with numerical ones of the equations of motion evaluated for a tagged hard sphere moving in a hard-sphere system. It is found that the long-time part of the two-step relaxation process for the mean-squared displacement can be characterized by the a-relaxation scaling law and von Schweidlers power-law decay, while the critical-decay regime is dominated by the corrections to the leading power-law behavior. For parameters of interest for the interpretations of experimental data, the corrections to the leading asymptotic laws for the non-Gaussian parameter are found to be so large that the leading asymptotic results are altered qualitatively by the corrections. Results for the non-Gaussian parameter are shown to follow qualitatively the findings reported in the molecular-dynamics-simulations work by Kob and Andersen [Phys. Rev. E 51, 4626 (1995)].</dcterms:abstract> <bibo:uri rdf:resource=""/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dspace:hasBitstream rdf:resource=""/> <dc:creator>Götze, Wolfgang</dc:creator> <dc:contributor>Götze, Wolfgang</dc:contributor> <dc:date rdf:datatype="">2011-03-24T14:50:59Z</dc:date> <dc:contributor>Mayr, Matthias R.</dc:contributor> <dc:rights>Attribution-NonCommercial-NoDerivs 2.0 Generic</dc:rights> <dcterms:bibliographicCitation>First publ. in: Physical Review E 58 (1998), 3, pp. 3384-3399</dcterms:bibliographicCitation> </rdf:Description> </rdf:RDF>

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