Multiple scattering of light in finite-size superdiffusive media

Year: 2011

Authors: Bertolotti J., Vynck K., Wiersma D.S.

Autors Affiliation: LENS, University of Florence, 50019 Sesto Fiorentino (FI), Italy; University OfTwente, MESA+ Institute for Nanotechnology, 7500 AE Enschede, Netherlands; CNR-INO, Largo E. Fermi 6, 50125 Florence (FJ), Italy

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.

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KeyWords: Mean square displacement; Statistical properties; Step length; Superdiffusion, Brownian movement; Optics; Quantum chemistry; Quantum electronics, Electron optics
DOI: 10.1109/CLEOE.2011.5943272