Multiple scattering of light in finite-size superdiffusive media

Abstract

In the textbook case of normal diffusion, transport is described as a randomwalk to which all the steps give the same contribution (Brownian motion). Superdiffusion occurs when the transport is dominated by a few, very large steps (Lévy flights). In this regime the variance of the step length distribution diverges and the mean square displacement grows faster than linear with time [1]. Previous works have evidenced the peculiar statistical properties of Lévy motions and shown that several features of real experiments, such as properly defined boundary conditions, are nontrivial to implement [2], making the description of observable quantities nearly impossible.