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Quantitative model of super-Arrhenian behavior in glass forming materials
- Source :
- Physical Review Materials. 2
- Publication Year :
- 2018
- Publisher :
- American Physical Society (APS), 2018.
-
Abstract
- The key feature of glass forming liquids is the super-Arrhenian temperature dependence of the mobility, where the mobility can increase by ten orders of magnitude or more as the temperature is decreased if crystallization does not intervene. A fundamental description of the super-Arrhenian behavior has been developed; specifically, the logarithm of the relaxation time is a linear function of $1/{\overline{U}}_{x}$, where ${\overline{U}}_{x}$ is the independently determined excess molar internal energy and $B$ is a material constant. This one-parameter mobility model quantitatively describes data for 21 glass forming materials, which are all the materials where there are sufficient experimental data for analysis. The effect of pressure on the $loga$ mobility is also described using the same ${\overline{U}}_{x}(T,p)$ function determined from the difference between the liquid and crystalline internal energies. It is also shown that $B$ is well correlated with the heat of fusion. The prediction of the $B/{\overline{U}}_{x}$ model is compared to the Adam and Gibbs $1/T{\overline{S}}_{x}$ model, where the $B/{\overline{U}}_{x}$ model is significantly better in unifying the full complement of mobility data. The implications of the $B/{\overline{U}}_{x}$ model for the development of a fundamental description of glass are discussed.
- Subjects :
- Linear function (calculus)
Materials science
010304 chemical physics
Physics and Astronomy (miscellaneous)
Internal energy
Enthalpy of fusion
Thermodynamics
02 engineering and technology
Function (mathematics)
021001 nanoscience & nanotechnology
01 natural sciences
Glass forming
Quantitative model
law.invention
law
0103 physical sciences
General Materials Science
Orders of magnitude (data)
Crystallization
0210 nano-technology
Subjects
Details
- ISSN :
- 24759953
- Volume :
- 2
- Database :
- OpenAIRE
- Journal :
- Physical Review Materials
- Accession number :
- edsair.doi...........a8137d71dca5c6f7344c151c54838e86
- Full Text :
- https://doi.org/10.1103/physrevmaterials.2.055604