Modelling non-Arrhenius temperature dependence of transport properties in amorphous materials

Based on the series hopping scheme proposed earlier, numerical simulation has been conducted to reproduce the non-Arrhenius temperature dependence for the transport properties of amorphous materials modelled by hopping in a two-dimensional square lattice. Although the Arrhenius temperature dependence was assumed for individual hopping steps, τhop∫ exp(E/kT), where E varies with the barriers heights, the resulting logarithmic diffusivity plotted against reciprocal temperature produces a convex curvature observed by many experiments.