It was suggested that a charge carrier transport in superionic conductors may follow an anomalous (e.g., superdiffusive) mechanism owing to effects of the fractality and the clustering. An anomalous penetration of so-called hot (about 100keV) D ions in doped SrCeO3-type oxides could be modelled by using a diffusion-like equation with fractional derivatives in place of commonly used Fick’s law. A tail exponent γ for concentration distribution in proton conductors was introduced.

A Model for Anomalous Penetration of Hot Deuterium in Proton Conductors. A.L.Samgin: Solid State Ionics, 2002, 152-153, 759-62