Multiple scattering of light in finite-size superdiffusive media

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