Anomalous Diffusion of Inertial, Weakly Damped Particles
Journal Article
·
· Physical Review Letters
- Institute for Theoretical Physics, University of Muenster, Wilhelm-Klemm-Strasse 9, D-48149 Muenster (Germany)
- Max-Planck-Institut fuer Plasmaphysik, Boltzmannstrasse 2, D-85748 Garching (Germany)
- Department of Physics and Astronomy, University of Leeds, Leeds LS2 9JT (United Kingdom)
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.
- OSTI ID:
- 20775271
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 96; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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