Lévy walks and scaling in quenched disordered media
Lévy walks and scaling in quenched disordered media
We study L\'evy walks in quenched disordered one-dimensional media, with scatterers spaced according to a long-tailed distribution. By analyzing the scaling relations for the random-walk probability and for the resistivity in the equivalent electric problem, we obtain the asymptotic behavior of the mean-square displacement as a function of the exponent …