Anomalous diffusion of inertial, weakly damped particles

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-Planc...

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Bibliographic Details
Published in:Physical review letters 2006-06, Vol.96 (23), p.230601-230601, Article 230601
Main Authors: Friedrich, R, Jenko, F, Baule, A, Eule, S
Format: Article
Language:English
Subjects:
ACCELERATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFUSION
FOKKER-PLANCK EQUATION
MATHEMATICAL SOLUTIONS
PARTICLES
RANDOMNESS
VELOCITY
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.96.230601