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Scaling equations for mode-coupling theories with multiple decay channels

Jung, Gerhard and Voigtmann, Thomas and Franosch, Thomas (2020) Scaling equations for mode-coupling theories with multiple decay channels. Journal of Statistical Mechanics: Theory and Experiment, 073301. Institute of Physics (IOP) Publishing. doi: 10.1088/1742-5468/ab9e61. ISSN 1742-5468.

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Abstract

Multiple relaxation channels often arise in the dynamics of liquids where the momentum current associated to the particle-conservation law splits into distinct contributions. Examples are strongly confined liquids for which the currents in lateral and longitudinal direction to the walls are very different, or fluids of nonspherical particles with distinct relaxation patterns for translational and rotational degrees of freedom. Here, we perform an asymptotic analysis of the slow structural relaxation close to kinetic arrest as described by mode-coupling theory (MCT) with several relaxation channels. Compared to standard MCT, the presence of multiple relaxation channels significantly changes the structure of the underlying equations of motion and leads to additional, non-trivial terms in the asymptotic solution. We show that the solution can be rescaled, and thus prove that the well-known beta-scaling equation of MCT remains valid even in the presence of multiple relaxation channels. The asymptotic treatment is validated using a novel schematic model. We demonstrate that the numerical solution of this schematic model can indeed be described by the derived asymptotic scaling laws close to kinetic arrest. Additionally, clear traces of the existence of two distinct decay channels are found in the low-frequency susceptibility spectrum, suggesting that clear footprints of the additional relaxation channels can in principle be detected in simulations or experiments of confined or molecular liquids.

Item URL in elib:https://elib.dlr.de/136119/
Document Type:Article
Title:Scaling equations for mode-coupling theories with multiple decay channels
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Jung, GerhardUniversität InnsbruckUNSPECIFIED
Voigtmann, ThomasThomas.Voigtmann (at) dlr.deUNSPECIFIED
Franosch, ThomasUniversität Innsbruckhttps://orcid.org/0000-0002-6204-7192
Date:2020
Journal or Publication Title:Journal of Statistical Mechanics: Theory and Experiment
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :10.1088/1742-5468/ab9e61
Page Range:073301
Publisher:Institute of Physics (IOP) Publishing
ISSN:1742-5468
Status:Published
Keywords:mode coupling theory; confined glasses; scaling laws
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Material Design and New Materials
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space > Scientific Experiments MP
Deposited By: Voigtmann, Dr.rer.nat. Thomas
Deposited On:21 Sep 2020 09:08
Last Modified:21 Sep 2020 09:08

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