Fractional Fokker-Planck Equation for Ultraslow Kinetics

Details Fractional Fokker-Planck Equation for Ultraslow Kinetics Fractional Fokker-Planck Equation for Ultraslow Kinetics

2003-01-24

arxiv.org/abs/cond-mat/0301487v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/epl/i2003-00539-0

Several classes of physical systems exhibit ultraslow diffusion for which the mean squared displacement at long times grows as a power of the logarithm of time ("strong anomaly") and share the interesting property that the probability distribution of particle's position at long times is a double-sided exponential. We show that such behaviors can be adequately described by a distributed-order fractional Fokker-Planck equations with a power-law weighting-function. We discuss the equations and the properties of their solutions, and connect this description with a scheme based on continuous-time random walks.

Affiliated with

Also associated with

No associations

Rating

Fractional Fokker-Planck Equation for Ultraslow Kinetics 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 Equation for Ultraslow Kinetics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Fokker-Planck Equation for Ultraslow Kinetics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709525