Random walk of magnetic field lines for different values of the energy-range spectral index

A. Shalchi; I. Kourakis

doi:10.1063/1.2803753

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arXiv · 0709.2571

Random walk of magnetic field lines for different values of the energy-range spectral index

A. Shalchi·I. Kourakis

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Abstract

An analytical nonlinear description of field-line wandering in partially statistically magnetic systems was proposed recently [A. Shalchi, I. Kourakis, Astronomy and Astrophysics, 470, 405 (2007)]. In this article we investigate the influence of the wave-spectrum in the energy-range onto field line random walk by applying this formulation. It is demonstrated that in all considered cases we clearly obtain a superdiffusive behaviour of the field-lines. If the energy-range spectral index exceeds unity a free-streaming behaviour of the field-lines can be found for all relevant length-scales of turbulence. Since the superdiffusive results obtained for the slab model are exact, it seems that superdiffusion is the normal behavior of field line wandering.

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A. Shalchi, I. Kourakis. 2007-09-17. Random walk of magnetic field lines for different values of the energy-range spectral index. https://doi.org/10.1063/1.2803753

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