Abstract
Supercooled liquids and glasses can be viewed as aperiodic crystals. Pursuing this view leads to the random first order transition theory of glasses. A liquid in this picture can be thought of as a mosaic of local energy landscapes. The theory explains quantitatively, without adjustable parameters, the super-Arrhenius slowing of dynamics and emergence of nonexponential relaxation in the supercooled liquid regime. The aging regime of glasses is also quantitatively treated. When quantized, the theory yields a description of the two level systems and Boson peak excitations that dominate the low temperature properties of amorphous solids.
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