The Localization Transition of the Two-Dimensional Lorentz Model

Details The Localization Transition of the Two-Dimensional Lorentz Model The Localization Transition of the Two-Dimensional Lorentz Model

2010-03-15

arxiv.org/abs/1003.2918v1

Eur. Phys. J. Special Topics 189, 103-118 (2010)

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 7 figures.

Scientific paper

10.1140/epjst/e2010-01313-1

We investigate the dynamics of a single tracer particle performing Brownian motion in a two-dimensional course of randomly distributed hard obstacles. At a certain critical obstacle density, the motion of the tracer becomes anomalous over many decades in time, which is rationalized in terms of an underlying percolation transition of the void space. In the vicinity of this critical density the dynamics follows the anomalous one up to a crossover time scale where the motion becomes either diffusive or localized. We analyze the scaling behavior of the time-dependent diffusion coefficient D(t) including corrections to scaling. Away from the critical density, D(t) exhibits universal hydrodynamic long-time tails both in the diffusive as well as in the localized phase.

Affiliated with

Also associated with

No associations

Rating

The Localization Transition of the Two-Dimensional Lorentz Model 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 The Localization Transition of the Two-Dimensional Lorentz Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Localization Transition of the Two-Dimensional Lorentz Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-214406