Abstract
From the Arrhenius law a probability distribution of timescales is derived bytreating both the prefactor and the activation energy as random variables. In thedefect-diffusion model this probability distribution is used to calculate the properties ofthe anomalous diffusion of defects. The timescales represent the pausing timedistribution between movements of a defect. The conditions are determined forthese mobile defects to produce stretched exponential relaxation. The diffusion ofa single defect is anomalous, but the collective effect of all defects produces acharacteristic relaxation timescale. The temperature and pressure dependence of thistimescale is used to determine conductivity, dielectric relaxation, and viscosity.
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