Thermodynamics and kinetics of the glass transition: A generic geometric approach

I. Gutzow; D. Ilieva; F. Babalievski; V. Yamakov

doi:10.1063/1.481733

journal article Jun 22, 2000

Thermodynamics and kinetics of the glass transition: A generic geometric approach

I. Gutzow D. Ilieva F. Babalievski V. Yamakov

The Journal of Chemical Physics Vol. 112 No. 24 pp. 10941-10948 · AIP Publishing

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Abstract

A generic phenomenological theory of the glass transition is developed in the framework of a quasilinear formulation of the thermodynamics of irreversible processes. Starting from one of the basic principles of this science in its approximate form given by de Donder’s equation, after a change of variables the temperature dependence of the structural parameter ξ(T), the thermodynamic potentials ΔG̃(T), the thermodynamic functions and the time of molecular relaxation τ of vitrifying systems is constructed. In doing so, a new effect in the ΔG̃(T) course is observed. The analysis of the higher derivatives of the thermodynamic potential, and especially the nullification of the second derivative of the configurational specific heats ΔC̃p(T) of the vitrifying liquid defines glass transition temperature T̃g and leads directly to the basic dependence of glass transition kinetics: the Frenkel–Kobeko–Reiner equation. The conditions guaranteeing the fulfillment of this equation specify the temperature dependence of the activation energy U(T,ξ̃) for viscous flow and give a natural differentiation of glass formers into fragile and strong liquids. The effect of thermal prehistory on the temperature dependence of both thermodynamic functions and kinetic coefficients is established by an appropriate separation of de Donder’s equation.

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References

Details

Published: Jun 22, 2000
Vol/Issue: 112(24)
Pages: 10941-10948

Authors

I

I. Gutzow

Institute of Physical Chemistry, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

D

D. Ilieva

Institute of Physical Chemistry, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

F

F. Babalievski

Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824

V

V. Yamakov

Argonne National Laboratory, Materials Science Division, Argonne, Illinois 60439

Cite This Article

I. Gutzow, D. Ilieva, F. Babalievski, et al. (2000). Thermodynamics and kinetics of the glass transition: A generic geometric approach. The Journal of Chemical Physics, 112(24), 10941-10948. https://doi.org/10.1063/1.481733

Thermodynamics and kinetics of the glass transition: A generic geometric approach

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