Anomalous Diffusion of Inertial, Weakly Damped Particles
Statistical Mechanics
2009-11-11 v1
Abstract
The anomalous (i.e. non-Gaussian) dynamics of particles subject to a deterministic acceleration and a series of 'random kicks' is studied. Based on an extension of the concept of continuous time random walks to position-velocity space, a new fractional equation of the Kramers-Fokker-Planck type is derived. The associated collision operator necessarily involves a fractional substantial derivative, representing important nonlocal couplings in time and space. For the force-free case, a closed solution is found and discussed.
Cite
@article{arxiv.cond-mat/0604245,
title = {Anomalous Diffusion of Inertial, Weakly Damped Particles},
author = {R. Friedrich and F. Jenko and A. Baule and S. Eule},
journal= {arXiv preprint arXiv:cond-mat/0604245},
year = {2009}
}
Comments
Submitted to Physical Review Letters