Abstract
The propagation and the dissipation of small amplitude Alfvenic wave packets in a three-dimensional magnetic field is studied in the WKB approximation. In a chaotic magnetic field nearby lines exponentially diverge (ED) and in propagating packets small scales are formed exponentially in time. Related to this phenomenon, a dissipation time td proportional to ln S is obtained, S being the Reynolds and/or the Lundquist number. This scaling corresponds to a dissipation much faster than that of phase-mixing (PM) in 2D magnetic fields (td∝S1/3). In the present work we consider force-free magnetic fields in which both phase-mixing and exponential divercence are present, and we study both the competition between the two scalings and the transition between the 2D-PM and the 3D-ED regimes. In a simpler equilibrium structure (the Arnold-Beltrami-Childress field) we found that both phenomenologies take place, in spatially separated regions. For more complex fields (2D flux tubes perturbed by 3D small amplitude compon...
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