Anomalous Diffusion of particles with inertia in external potentials

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dc.creatorEule, S.
dc.creatorFriedrich, R.
dc.creatorJenko, F.
dc.date2007-05-10
dc.date.accessioned2026-07-07T08:00:41Z
dc.date.available2026-07-07T08:00:41Z
dc.descriptionRecently 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.
dc.description12 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0705.1480
dc.identifierhttp://arxiv.org/abs/0705.1480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128728
dc.subjectStatistical Mechanics
dc.titleAnomalous Diffusion of particles with inertia in external potentials
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