Secondary Tearing Mode in Hall MHD and Its Application

Physics – Plasma Physics

Scientific paper

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[2790] Magnetospheric Physics / Substorms, [7835] Space Plasma Physics / Magnetic Reconnection

Scientific paper

Dynamic process of magnetic reconnection is systematically investigated through a Hall MHD simulation. It is found that in the early phase of the magnetic reconnection, the geometry of the magnetic field in the near reconnection region tends to form a Y-type structure for a weak Hall case instead of to exhibit an X-type structure in a strong Hall case. The maximum reconnection rate in the early stage is proportional to the square of the ion inertial length (gamma d_i^2). In the late phase, the thin elongated current sheet associated with the Y-type geometry of the magnetic field breaks-up to form a magnetic island due to the secondary tearing instability. The onset time of the secondary tearing instability is inversely dependent on the square root of the ion inertia length (tau_onset (d_i)^-1/2). After the onset of the secondary tearing mode, the geometry of magnetic field near the reconnection region becomes an X-type structure and the reconnection rate substantially increases. With a strong Hall effect, the maximum reconnection rate linearly increases with the increase of the ion inertial length. A possible application of the second tearing mode instability and island coalescences in the magnetotail is presented.

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