Anomalous diffusion in a self-similar random advection field.
The problem on passive scalar advection in random (statistically homogeneous) self-similar media is solved. Even in superdiffusive mode the solution is found not to possess "heavy" power tails. Instead, they are exponential (not Gaussian). The derivation is conducted by means of the scaling analysis.
Dykhne
Alexander M
AM
Nuclear Safety Institute, Russian Academy of Sciences, 52 Bolshaya Tul'skaya St., 115191 Moscow, Russia.
Dranikov
Ilya L
IL
Kondratenko
Petr S
PS
Matveev
Leonid V
LV