Fast dissipation of Alfvén waves in 3D force-free magnetic structures

Details Fast dissipation of Alfvén waves in 3D force-free magnetic structures Fast dissipation of Alfvén waves in 3D force-free magnetic structures

Jun 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..471..353m&link_type=abstract

The solar wind nine conference. AIP Conference Proceedings, Volume 471, pp. 353-356 (1999).

Computer Science

Magnetohydrodynamics And Plasmas

Scientific paper

The propagation and the dissipation of small amplitude Alfvénic 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 components) we found that the ED (PM) scaling dominates when S is above (below) a threshold, whose value decreses with increasing the amplitude of the 3D force-free component. This results are relevant in the problem of coronal heating.

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