Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{é}vy walk model

Details Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{é}vy walk model Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{é}vy walk model

2001-07-24

arxiv.org/abs/cond-mat/0107497v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, REVTeX

Scientific paper

We introduce a fractional Klein-Kramers equation which describes sub-ballistic superdiffusion in phase space in the presence of a space-dependent external force field. This equation defines the differential L{\'e}vy walk model whose solution is shown to be non-negative. In the velocity coordinate, the probability density relaxes in Mittag-Leffler fashion towards the Maxwell distribution whereas in the space coordinate, no stationary solution exists and the temporal evolution of moments exhibits a competition between Brownian and anomalous contributions.

Affiliated with

Also associated with

No associations

Rating

Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{é}vy walk 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 Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{é}vy walk model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{é}vy walk model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322393