Fractional Fokker-Planck subdiffusion in alternating fields

Details Fractional Fokker-Planck subdiffusion in alternating fields Fractional Fokker-Planck subdiffusion in alternating fields

2009-02-23

arxiv.org/abs/0902.3878v1

Physical Review E 79, 041137 (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.79.041137

The fractional Fokker-Planck equation for subdiffusion in time-dependent force fields is derived from the underlying continuous time random walk. Its limitations are discussed and it is then applied to the study of subdiffusion under the influence of a time-periodic rectangular force. As a main result, we show that such a force does not affect the universal scaling relation between the anomalous current and diffusion when applied to the biased dynamics: in the long time limit subdiffusion current and anomalous diffusion are immune to the driving. This is in sharp contrast with the unbiased case when the subdiffusion coefficient can be strongly enhanced, i.e. a zero-frequency response to a periodic driving is present.

Affiliated with

Also associated with

No associations

Rating

Fractional Fokker-Planck subdiffusion in alternating fields 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 Fokker-Planck subdiffusion in alternating fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Fokker-Planck subdiffusion in alternating fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584530