Lévy walks and scaling in quenched disordered media

Details Lévy walks and scaling in quenched disordered media Lévy walks and scaling in quenched disordered media

2010-03-10

arxiv.org/abs/1003.2161v3

Physics

Condensed Matter

Statistical Mechanics

Phys. Rev. E 81, 060101(R) (2010)

Scientific paper

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 characterizing the scatterers distribution. We demonstrate that in quenched media different average procedures can display different asymptotic behavior. In particular, we estimate the moments of the displacement averaged over processes starting from scattering sites, in analogy with recent experiments. Our results are compared with numerical simulations, with excellent agreement.

Affiliated with

Also associated with

No associations

Rating

Lévy walks and scaling in quenched disordered media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lévy walks and scaling in quenched disordered media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lévy walks and scaling in quenched disordered media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342387