title: Transmission probability through a Lévy glass and comparison with a Lévy walk.
abstract: Recent experiments on the propagation of light over a distance L through a random packing of spheres with a power-law distribution of radii (a so-called Lévy glass) have found that the transmission probability T∝1/L(γ) scales superdiffusively (γ<1). The data has been interpreted in terms of a Lévy walk. We present computer simulations to demonstrate that diffusive scaling (γ≈1) can coexist with a divergent second moment of the step size distribution [p(s)∝1/s(1+α) with α<2]. This finding is in accord with analytical predictions for the effect of step size correlations, but deviates from what one would expect for a Lévy walk of independent steps.
authors.affiliation: Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, NL-2300 RA Leiden, The Netherlands.
authors.forename: C W
authors.initials: CW
authors.lastname: Groth
authors.forename: A R
authors.initials: AR
authors.lastname: Akhmerov
authors.forename: C W J
authors.initials: CW
authors.lastname: Beenakker
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D008027:Light; D015233:Models, Statistical; D054118:Nanospheres / Q000737:chemistry*; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation
chemical_list: D003102:Colloids