NDLI: Theoretical framework for the Arrhenius equation in strong glasses

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Theoretical framework for the Arrhenius equation in strong glasses

Content Provider	Scilit
Author	Dagdug, L. García-Colín, L. S.
Copyright Year	1999
Description	Journal: Journal of Physics: Condensed Matter Open network liquids like $B_{2}O_{3}$ show an Arrhenius variation of the viscosity (or structural relaxation time) between $T_{g}$ and the high-temperature limit, and provide the `strong' liquid extreme of the pattern. `Fragile' liquids have quite non-Arrhenius relaxation properties and typically consist of molecules interacting through nondirectional, noncovalent interaction. This strong/fragile liquid pattern has been used as the basis for a classification of glass forming liquids to indicate the sensitivity of the liquid structure to temperature changes. In a recent paper Barrio et al evaluated the probability of forming a ring in vitreous $B_{2}O_{3}$ by the stochastic matrix method which is a description of the growth process of a solid. In this work we find a theoretical Arrhenius equation for the average relaxation time (or viscosity) of the strong glass forming liquid $B_{2}O_{3}$ using the stochastic matrix method proposed by these authors. To carry out our purpose we take the average relaxation time as inversely proportional to the average transition probability and the transition probability as the probability of forming a ring calculated for a large number of steps of growth. We also introduce the temperature derivative method to recognize the functional dependence for the viscosity.
Related Links	http://iopscience.iop.org/article/10.1088/0953-8984/11/10/006/pdf
Ending Page	2198
Page Count	6
Starting Page	2193
ISSN	09538984
e-ISSN	1361648X
DOI	10.1088/0953-8984/11/10/006
Journal	Journal of Physics: Condensed Matter
Issue Number	10
Volume Number	11
Language	English
Publisher	IOP Publishing
Publisher Date	1999-01-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics: Condensed Matter Condensed Matter Physics Functional Dependency Stochastic Matrix Relaxation Time Transition Probability
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Materials Science

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