Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids

Rigidity plays an important role on the relaxation properties of glass forming melts, yet it is usually determined from the average coordination number through the chemical composition. A discussion is presented on how viscoelasticity can be used as an alternative way to determine glass rigidity and...

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Main Authors: J. Quetzalcóatl Toledo-Marín, Gerardo G. Naumis
Format: Article
Language:English
Published: Elsevier 2019-09-01
Series:Journal of Non-Crystalline Solids: X
Online Access:http://www.sciencedirect.com/science/article/pii/S2590159119300433
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author J. Quetzalcóatl Toledo-Marín
Gerardo G. Naumis
author_facet J. Quetzalcóatl Toledo-Marín
Gerardo G. Naumis
author_sort J. Quetzalcóatl Toledo-Marín
collection DOAJ
description Rigidity plays an important role on the relaxation properties of glass forming melts, yet it is usually determined from the average coordination number through the chemical composition. A discussion is presented on how viscoelasticity can be used as an alternative way to determine glass rigidity and to give clues about the relaxation processes. It is shown that the transverse current dynamical structure factor of dense glass and crystal forming fluids contain rich information about rigidity that can be related with the presence of a dynamical-gap for transversal vibrational-modes. Then, the number of floppy modes can be related with the dynamical gap size and with the liquid relaxation time. Furthermore, a dynamical average effective coordination number can be defined. Numerical simulations for hard-disks in a dense fluid phase are provided. A discussion is presented on the need to improve glass viscoelasticity models to describe consistently non-exponential stress and strain relaxation. Keywords: Viscoelasticity, Relaxation, Rigidity
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spelling doaj.art-484abfefebe74eeabc7dd8bf6d0de6272022-12-22T01:12:53ZengElsevierJournal of Non-Crystalline Solids: X2590-15912019-09-013Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquidsJ. Quetzalcóatl Toledo-Marín0Gerardo G. Naumis1Departamento de Sistemas Complejos, Instituto de Física, Universidad Nacional Autónoma de México (UNAM), Apartado Postal 20-364, 01000 México, Distrito Federal, MexicoCorresponding author.; Departamento de Sistemas Complejos, Instituto de Física, Universidad Nacional Autónoma de México (UNAM), Apartado Postal 20-364, 01000 México, Distrito Federal, MexicoRigidity plays an important role on the relaxation properties of glass forming melts, yet it is usually determined from the average coordination number through the chemical composition. A discussion is presented on how viscoelasticity can be used as an alternative way to determine glass rigidity and to give clues about the relaxation processes. It is shown that the transverse current dynamical structure factor of dense glass and crystal forming fluids contain rich information about rigidity that can be related with the presence of a dynamical-gap for transversal vibrational-modes. Then, the number of floppy modes can be related with the dynamical gap size and with the liquid relaxation time. Furthermore, a dynamical average effective coordination number can be defined. Numerical simulations for hard-disks in a dense fluid phase are provided. A discussion is presented on the need to improve glass viscoelasticity models to describe consistently non-exponential stress and strain relaxation. Keywords: Viscoelasticity, Relaxation, Rigidityhttp://www.sciencedirect.com/science/article/pii/S2590159119300433
spellingShingle J. Quetzalcóatl Toledo-Marín
Gerardo G. Naumis
Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids
Journal of Non-Crystalline Solids: X
title Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids
title_full Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids
title_fullStr Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids
title_full_unstemmed Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids
title_short Viscoelasticity and dynamical gaps: Rigidity in crystallization and glass-forming liquids
title_sort viscoelasticity and dynamical gaps rigidity in crystallization and glass forming liquids
url http://www.sciencedirect.com/science/article/pii/S2590159119300433
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