Anomalous Diffusion of particles with inertia in external potentials

Details Anomalous Diffusion of particles with inertia in external potentials Anomalous Diffusion of particles with inertia in external potentials

2007-05-10

arxiv.org/abs/0705.1480v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 8 figures

Scientific paper

Recently a new type of Kramers-Fokker-Planck Equation has been proposed [R. Friedrich et al. Phys. Rev. Lett. {\bf 96}, 230601 (2006)] describing anomalous diffusion in external potentials. In the present paper the explicit cases of a harmonic potential and a velocity-dependend damping are incorporated. Exact relations for moments for these cases are presented and the asymptotic behaviour for long times is discussed. Interestingly the bounding potential and the additional damping by itself lead to a subdiffussive behaviour, while acting together the particle becomes localized for long times.

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