Dynamics of supercooled melts treated in terms of the random-walk concept

Ranko Richert, H. Bassler

Research output: Contribution to journalArticle

101 Citations (Scopus)

Abstract

The concept of random walk of an excitation within a Gaussian density of states (DOS) is applied to treat diffusion and viscous motion of glass-forming elements controlled by the random potential established upon supercooling a melt. It relates the super-Arrhenius-type temperature dependence observed for viscosity and related properties at T>Tg (the glass transition temperature) to the energetic relaxation of the glass elements within the DOS. The resulting relaxation pattern implies that the system must become non-ergodic at the temperature where the time required to relax to dynamic equilibrium exceeds the experimental time-scale. The model is able to explain quantitatively (i) eta (T) data in the temperature range Tc>T>or=T g (Tc being a critical temperature above which collective effects, tractable within the mode-coupling concept, become important), (ii) the dependence of Tg on cooling rate and (iii) the Arrhenius-type T dependence of molecular motion below Tg, and qualitatively (iv) the occurrence of physical aging and (v) non-exponential relaxation patterns.

Original languageEnglish (US)
Article number016
Pages (from-to)2273-2288
Number of pages16
JournalJournal of Physics: Condensed Matter
Volume2
Issue number9
DOIs
StatePublished - 1990
Externally publishedYes

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random walk
glass
supercooling
Glass
Supercooling
Temperature
glass transition temperature
coupled modes
critical temperature
occurrences
viscosity
cooling
temperature dependence
temperature
Aging of materials
Viscosity
Cooling
excitation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Dynamics of supercooled melts treated in terms of the random-walk concept. / Richert, Ranko; Bassler, H.

In: Journal of Physics: Condensed Matter, Vol. 2, No. 9, 016, 1990, p. 2273-2288.

Research output: Contribution to journalArticle

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