FRACTAL LIMIT DISTRIBUTIONS IN RANDOM TRANSPORTS

We analyze a random transport model of a scalar quantity on a discrete space-time. By changing a parameter which is a portion of the quantit y transported at a time, we observe a continuous change of steady-stat e distribution of fluctuations from Gaussian to a power-law when the m ean value of the scalar quantity is not zero. In the symmetric case wi th zero mean, the steady-state converges either to a trivial no fluctu ation state or to a Lorentzian fluctuation state with diverging varian ce independent of the parameter. We discuss a possible origin of the i ntermittent behaviors of fully-developed fluid turbulence as an applic ation.