Fractal fluctuation of aerosol concentration near Chernobyl

We present a simple model of aerosol migration with fractal, or self-similar fluctuation of wind speed. The purpose of the study is to explain fractal fluctuation of airborne radionuclide concentration which was measured daily near Chernobyl by Garger et al. Our theoretical prediction on the concentration fluctuation agrees with the measured data remarkably. We also predict that the mean concentration decreases in time as t−4/3e−λt, where λ denotes the sum of constants of the first-order kinetics, such as the radioactive decay rate and the chemical reaction rate. It is suggested that the characteristics of fluctuation appearing in our model are universal for large-scale atmospheric pollution.