title: Anomalous diffusion of inertial, weakly damped particles.
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.
authors.affiliation: Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany.
authors.forename: R
authors.initials: R
authors.lastname: Friedrich
authors.forename: F
authors.initials: F
authors.lastname: Jenko
authors.forename: A
authors.initials: A
authors.lastname: Baule
authors.forename: S
authors.initials: S
authors.lastname: Eule