Abstract
A defect diffusion model is employed to described relaxation in glassy materials. When the motion of the defects is governed by fractal time (no characteristic time scale existing) then the ubiquitous stretched exponential relaxation time law is derived as a probability limit distribution. In our theory, the stretched exponential law does have a characteristic time scale inversely proportional to the concentration of mobile defects. We derive a generalized Vogel law describing the divergence of the relaxation time scale with diminishing temperature. We relate this divergence to a phase transition governing the disappearance of mobile defects.
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