FLUCTUATION ASPECTS IN DIFFUSION OVER HIGHLY DISORDERED MEDIA (PREPRINT IBRAE-2002-02)

Preprint IBRAE-2002-02

An extension of the model for an impurity transport in highly disordered media with fractal properties is proposed taking into account super-diffusion (at large distances) and fluctuation (at short distances) behavior. It is determined that spatial fluctuations of medium characteristics lead to renormalization of the power of an impurity source. Renormalization factor K considerably decreases with source size R if the latter is less than a correlation length determined by medium properties. In this range of R  the factor K as well as an effective power of the source experience an increasing statistic scattering.

Bibliographical reference 

Bolshov L.A., Dykhne A.M, Kondratenko P.S. Fluctuation aspects in diffusion over highly disordered media. Preprint IBRAE-2002-02. Moscow: Nuclear Safety Insitute RAS, February 2002. 6 p.