Random walk of magnetic field lines for different values of the energy-range spectral index
arXiv:0709.2571 · doi:10.1063/1.2803753
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.
arXiv commentSubmitted to Physics of Plasmas; 13 pages, no figures
References in corpus (5)
- Thermal Conduction in Clusters of Galaxies
- Simulations of MHD Turbulence in a Strongly Magnetized Medium
- Analytical description of stochastic field-line wandering in magnetic turbulence
- Thermal conduction and particle transport in strong MHD turbulence, with application to galaxy-cluster plasmas
- The divergence of neighboring magnetic field lines and fast-particle diffusion in strong magnetohydrodynamic turbulence, with application to thermal conduction in galaxy clusters
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