Stressfluctuations in glass-forming liquids
Stressfluctuations in glass-forming liquids
Loading...
Date
2018
Authors
Editors
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
URI (citable link)
International patent number
Link to the license
EU project number
Project
Open Access publication
Collections
Title in another language
Publication type
Diploma thesis
Publication status
Published
Published in
Abstract
A model for the transverse shear stress in isothermal incompressible supercooled liquids was derived. The model shows damped transverse soundwaves and anisotropic long ranged long lived stress correlations in the solid-like state and exhibits anisotropic shear stress correlations in the liquid state. The conservation of mass and momentum are used within the Zwanzig-Mori projection operator formalism to decompose the shear stress tensor. The appearing memory kernel contains the full complexity of the problem. Based on the Zwanzig-Mori approach, the arising memory kernel is approximated using Maxwell's model for viscoelasticity with a single relaxation time. Within this approximation two characteristic scales could be identified the correlation length and the relaxation time. The correlation length characterizing the spatial extend of the solid-like region and grows proportionally to the relaxation time. In the elastic long time limit both the correlation length and the relaxation time diverge. The transverse shear stress tensor is the linear response to small amplitude oscillatory shear strain. The computed spectra depend on the wavevector direction even in the limit of vanishing wavevectors and show a damped resonance at the frequency of the transverse soundwave. The model can be rephrased in terms of generalized hydrodynamic equations. For overdamped dynamics, addressing colloidal dispersions, the spectra show an arresting peak in the loss modulus dependent on the wavevector direction.
Summary in another language
Subject (DDC)
530 Physics
Keywords
STRESS FACTUATIONS; SYMMETRIES OF CORRELATERS
Conference
Review
undefined / . - undefined, undefined. - (undefined; undefined)
Cite This
ISO 690
MAIER, Manuel, 2018. Stressfluctuations in glass-forming liquids [Master thesis]. Konstanz: Universität KonstanzBibTex
@mastersthesis{Maier2018Stres-47265, year={2018}, title={Stressfluctuations in glass-forming liquids}, address={Konstanz}, school={Universität Konstanz}, author={Maier, Manuel} }
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/123456789/47265"> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/> <dcterms:abstract xml:lang="eng">A model for the transverse shear stress in isothermal incompressible supercooled liquids was derived. The model shows damped transverse soundwaves and anisotropic long ranged long lived stress correlations in the solid-like state and exhibits anisotropic shear stress correlations in the liquid state. The conservation of mass and momentum are used within the Zwanzig-Mori projection operator formalism to decompose the shear stress tensor. The appearing memory kernel contains the full complexity of the problem. Based on the Zwanzig-Mori approach, the arising memory kernel is approximated using Maxwell's model for viscoelasticity with a single relaxation time. Within this approximation two characteristic scales could be identified the correlation length and the relaxation time. The correlation length characterizing the spatial extend of the solid-like region and grows proportionally to the relaxation time. In the elastic long time limit both the correlation length and the relaxation time diverge. The transverse shear stress tensor is the linear response to small amplitude oscillatory shear strain. The computed spectra depend on the wavevector direction even in the limit of vanishing wavevectors and show a damped resonance at the frequency of the transverse soundwave. The model can be rephrased in terms of generalized hydrodynamic equations. For overdamped dynamics, addressing colloidal dispersions, the spectra show an arresting peak in the loss modulus dependent on the wavevector direction.</dcterms:abstract> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:issued>2018</dcterms:issued> <dc:contributor>Maier, Manuel</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-10-18T06:32:03Z</dcterms:available> <dcterms:title>Stressfluctuations in glass-forming liquids</dcterms:title> <dc:creator>Maier, Manuel</dc:creator> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/47265/3/Maier_2-bv2jrxdp0kp80.pdf"/> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-10-18T06:32:03Z</dc:date> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/47265"/> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/47265/3/Maier_2-bv2jrxdp0kp80.pdf"/> <dc:rights>terms-of-use</dc:rights> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> </rdf:Description> </rdf:RDF>
Internal note
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Examination date of dissertation
University note
Konstanz, Universität Konstanz, Master thesis, 2018