Random walk of magnetic field lines: subdiffusive, diffusive, and superdiffusive regimes

Physics

Scientific paper

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7857 Stochastic Phenomena (3235, 3265, 4475), 7859 Transport Processes, 7863 Turbulence (4490)

Scientific paper

In the past years diffusion theories have been used for describing the random walk of magnetic field lines. Recently we have improved the theoretical description of field line wandering. This improved approach uses an ordinary differential equation. By solving this equation for different turbulence models we demonstrate the field line random walk has to be described as a non-diffusive process. In nearly all cases previous diffusion theories can not be applied. Only for very specific parameter regimes field line wandering behaves diffusively. We also show how these new non-diffusive results can be used in cosmic ray scattering theory. By employing a generalized compound transport model we demonstrate how field line wandering and charged particle transport in the direction perpendicular to the mean magnetic field are connected.

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