Glassy state stretched exponential relaxation

By looking at Eqs. (27) and (28), Eq. (32) confirms the customary way of relating P of the stretched exponential function, Eq. (19), to the relaxation time spectrum. The glassy state relaxation is dominated by the part of the spectrum having longer relaxation times. The fractal dynamics of holes are diffusive, and the diffusivity depends strongly on the tenuous structure in fractal lattices, v is the exponent in the power-law relationship between local diffusivity and diffusion length ... 

CdO and smaller amounts of CdCU, YF3 and LaFs). The modulus relaxation spectrum has been fitted to stretched exponential function and it has been found that p has a roughly constant value in the glassy state and above Tg, it decreases rapidly. Since decoupling index also decreases rapidly above the glass transition temperature, it is suggestive of an implicit relation between and / . It is also noted that Rr Tg itself is inversely correlated to the corresponding p values and P decreases linearly with log at Tg (also see Hunt, 1994)... 

The schematic MCT model predicts an unattained dynamical arrest of any density fluctuation at a critical temperature Tc. This critical transition has been related to the formation of a glassy state. In particular, the MCT model makes specific predictions for the dynamics of the density fluctuations above Tc and it provides a detailed analytical form for the density correlation function. In the vicinity of Tc, the relaxation processes are asymptotically divided into two time scales a fast/intermediate regime, called (3-relaxation process, followed by a long time, or a-relaxation process. In the latter, the correlation function of the density fluctuations decays as a stretched exponential, often named the Kohlrausch-WilUams-Watts law [60-62] ... 

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