Abstract
We propose a phenomenological model of ionic diffusion in glasses. The model attempts to represent two aspects of the ionic motion: (i) the disorder of the glass structure and (ii) the “blocking” effect resulting from the interaction of the ions. The ionic motion is assumed to be diffusive, the ions hopping between potential minima with some hopping rate J. The disorder takes the form of random energy barrier heights and hence random hopping rates. We only consider the case where the barrier heights are uniformly distributed about the mean. The interactiom between the ions is modelled by assuming that two particles cannot occupy the same potential minimum at the same time. We calculate the average self-diffusion constant using a master equation and classical Green's functions. The averaging over the disorder is done using the coherent potential approximation. The ionic conductivity can also be obtained from the diffusion constant by using the Nernst-Einstein relation.
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