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 2470-0045.
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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/ | ||||||||||||
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Document Type: | Article | ||||||||||||
Title: | Glass-transition asymptotics in two theories of glassy dynamics: Self-consistent generalized Langevin equation and mode-coupling theory | ||||||||||||
Authors: |
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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: | Yes | ||||||||||||
Volume: | 100 | ||||||||||||
DOI: | 10.1103/PhysRevE.100.042601 | ||||||||||||
Page Range: | 042601 | ||||||||||||
Publisher: | American Physical Society | ||||||||||||
ISSN: | 2470-0045 | ||||||||||||
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 - 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 | ||||||||||||
Deposited By: | Voigtmann, Dr.rer.nat. Thomas | ||||||||||||
Deposited On: | 14 Oct 2019 07:15 | ||||||||||||
Last Modified: | 22 Nov 2023 07:25 |
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