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Two-order-parameter model of the liquid-glass transition. III. Universal patterns of relaxations in glass-forming liquids

by: Hajime Tanaka
Journal of Non-Crystalline Solids, Vol. 351, No. 43-45. (1 November 2005), pp. 3396-3413.


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In the preceding companion papers (paper I and II), we propose a possible origin of the slow dynamics associated with the liquid-glass transition in the light of our two-order-parameter model of liquids. Our model suggests that there exist two levels of dynamic structural heterogeneity, namely, [`]locally favored structures and their clusters' and [`]metastable solid-like islands'. On the basis of this picture, we consider how all the dynamic modes associated with a glass transition, covering from the boson peak to the structural relaxation ([alpha]) mode, can be explained within the same model. We assign the boson peak to (quasi-) localized vibrational modes characteristic of locally favored structures and their clusters and the ultrafast mode to their overdamped states. We assign the fast [beta] mode to the restricted [`]translational' motion, while the slow [beta] mode to the restricted [`]rotational' (librational) motion characteristic of molecules in metastable islands, which exist only below . The [alpha] mode is associated with dynamics of creation and annihilation of metastable islands below . The appearance and disappearance of the modes as a function of the temperature are discussed, focusing on the behavior of locally favored structures and metastable solid-like islands.


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