1996 Supercooled liquids and glasses

• Relaxations in the glassy state and significance of the “boson peak” are also addressed.

2008 NYT The Nature of Glass Remains Anything but Clear

PWA - through the glass lightly versus through the glass darkly

see also another node

Colloquium: The glass transition and elastic models of glass-forming liquids 2006, Jeppe C. Dyre

For a number of reasons the study of viscous liquids approaching the glass transition is likely to remain an
exciting branch of condensed-matter physics for years to come:
1 the most basic problems are unsolved;
2 computers are still too slow for the secrets of viscous liquid dynamics to be revealed by brute force simulations; and
3 there is a small, dimensionless number characterizing viscous liquids just above the glass transition $10^{−30}$, indicating that a simple and general theory for viscous liquid dynamics may exist.

Although the research field is still open to new theoretical developments and even simple phenomenological modeling, future breakthroughs are likely to come from careful and accurate experiments.

see Internal friction plot - 1986 Low temperature properties of glasses-unsolved problems - A K RAYCHAUDHURI

• Amorphous solids from the glass transition to 1 Kelvin

At high densities, in the regime relevant for molecular and atomic glasses,
the landscape is rather simple, characterized by few minima. The dynamical behavior of the glass
is dictated by highly localized defects, which correspond to a few particles hopping between nearby
configurations

Angell The glass transition

... but to survive undamped to temperatures well above T, in strong glass-formers [lOl,lOZ]. The localization of low frequency modes [103,104] which is thought to be associated with boson peak damping [105] may thus be the key phenomenon triggering the glass transition.

https://www.tandfonline.com/doi/abs/10.1080/01418639508238546
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.66.636

....the glass transition is in a state of rapid development. Highlights are the advent of microheterogeneity models which go far to rationalize
fragility, and the correlation of boson peak physics with glass transition. The random energy model deserves more attention.

Soft localized vibrations in glasses and undercooled liquids U. Buchenau

An explanation for their localization is attempted in terms of the balance between their vibrational entropy
and the energy needed for their destabilization