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Issue 3, 2020
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A simple mean-field model of glassy dynamics and glass transition

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Abstract

We propose a phenomenological model to describe the equilibrium dynamic behavior of amorphous glassy materials. It is assumed that a material can be represented by a lattice of cooperatively re-arranging regions (CRRs), with each CRR having two states, the low-temperature “solid” and the high-temperature “liquid”. At low temperatures, the material exhibits two characteristic relaxation times, corresponding to the slow large-scale motion between the “solid” CRRs (α-relaxation) and the faster local motion within individual CRRs (β-relaxation). At high temperatures, the α- and β-relaxation times merge, as observed experimentally and suggested by the “Coupling Model” framework. Our new approach is labeled “Two-state, two (time)scale model” or TS2. It is shown that the TS2 treatment can successfully describe the “two-Arrhenius” relaxation time behavior described in several recent experiments. We also apply TS2 to describe the pressure- and molecular-weight dependence of the glass transition temperature in bulk polymers, as well as its dependence on film thickness in thin films.

Graphical abstract: A simple mean-field model of glassy dynamics and glass transition

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Article information


Submitted
05 Aug 2019
Accepted
06 Dec 2019
First published
10 Dec 2019

Soft Matter, 2020,16, 810-825
Article type
Paper

A simple mean-field model of glassy dynamics and glass transition

V. V. Ginzburg, Soft Matter, 2020, 16, 810
DOI: 10.1039/C9SM01575B

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