Transmission probability through a Lévy glass and comparison with a Lévy walk.

  title={Transmission probability through a L{\'e}vy glass and comparison with a L{\'e}vy walk.},
  author={Christoph Groth and A. Akhmerov and C. W. J. Beenakker},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={85 2 Pt 1},
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… 
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