Physics – Plasma Physics
Scientific paper
2001-07-09
Physics
Plasma Physics
15 pages, LaTeX, 5 figures PostScript
Scientific paper
10.1063/1.1421617
We propose fractional Fokker-Planck equation for the kinetic description of relaxation and superdiffusion processes in constant magnetic and random electric fields. We assume that the random electric field acting on a test charged particle is isotropic and possesses non-Gaussian Levy stable statistics. These assumptions provide us with a straightforward possibility to consider formation of anomalous stationary states and superdiffusion processes, both properties are inherent to strongly non-equilibrium plasmas of solar systems and thermonuclear devices. We solve fractional kinetic equations, study the properties of the solution, and compare analytical results with those of numerical simulation based on the solution of the Langevin equations with the noise source having Levy stable probability density. We found, in particular, that the stationary states are essentially non-Maxwellian ones and, at the diffusion stage of relaxation, the characteristic displacement of a particle grows superdiffusively with time and is inversely proportional to the magnetic field.
Chechkin Aleksei
Gonchar V.
Szydlowski Marek
No associations
LandOfFree
Fractional Kinetics for Relaxation and Superdiffusion in Magnetic Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fractional Kinetics for Relaxation and Superdiffusion in Magnetic Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Kinetics for Relaxation and Superdiffusion in Magnetic Field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-366909