Anomalous diffusion and fluctuation effects in highly disordered media

The model of impurity transport in highly disordered fractal media is generalized with account taken of the superdiffusional behavior at large distances and fluctuative behavior at small distances. It is found that the impurity source power is renormalized due to the spatial fluctuations of medium characteristics. The renormalization coefficient $K$ decreases dramatically with changing the source dimension $R$ for $R$ values smaller than the correlation length in the medium. In the same domain of $R$ values, the coefficient $K$, together with the effective power, undergoes increasing statistical scatter.