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Glass-transition asymptotics in two theories of glassy dynamics: Self-consistent generalized Langevin equation and mode-coupling theory

Elizondo Aguilera, Luis Fernando and Voigtmann, Thomas (2019) Glass-transition asymptotics in two theories of glassy dynamics: Self-consistent generalized Langevin equation and mode-coupling theory. Physical Review E, 100, 042601. American Physical Society. DOI: 10.1103/PhysRevE.100.042601 ISSN 1539-3755

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Abstract

We contrast the generic features of structural relaxation close to the idealized glass transition that are predicted by the self-consistent generalized Langevin equation theory (SCGLE) against those that are predicted by the mode-coupling theory of the glass transition (MCT). We present an asymptotic solution close to conditions of kinetic arrest that is valid for both theories, despite the different starting points that are adopted in deriving them. This in particular provides the same level of understanding of the asymptotic dynamics in the SCGLE as was previously done only for MCT. We discuss similarities and different predictions of the two theories for kinetic arrest in standard glass-forming models, as exemplified through the hard-sphere system. Qualitative differences are found for models where a decoupling of relaxation modes is predicted, such as the generalized Gaussian core model, or binary hard-sphere mixtures of particles with very disparate sizes. These differences, which arise in the distinct treatment of the memory kernels associated to self- and collective motion of particles, lead to distinct scenarios that are predicted by each theory for partially arrested states and in the vicinity of higher-order glass-transition singularities.

Item URL in elib:https://elib.dlr.de/129435/
Document Type:Article
Title:Glass-transition asymptotics in two theories of glassy dynamics: Self-consistent generalized Langevin equation and mode-coupling theory
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Elizondo Aguilera, Luis FernandoInstitute of Materials Physics in SpaceUNSPECIFIED
Voigtmann, ThomasThomas.Voigtmann (at) dlr.deUNSPECIFIED
Date:2019
Journal or Publication Title:Physical Review E
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Volume:100
DOI :10.1103/PhysRevE.100.042601
Page Range:042601
Publisher:American Physical Society
ISSN:1539-3755
Status:Published
Keywords:glass transition; mode coupling theory; generalized Langevin equation
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 - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Vorhaben Materialdesign und neue Materialien
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Voigtmann, Dr.rer.nat. Thomas
Deposited On:14 Oct 2019 07:15
Last Modified:14 Oct 2019 07:15

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