Fast Three Dimensional Magnetic Reconnection

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Fast driven reconnection was studied in a three dimensional axially bounded magnetic flux tube, which modeled a solar coronal loop. The magnetic field lines of the loop are twisted by photospheric motion, which causes magnetic reconnection. The reconnection process was studied in numerical simulations and in a simple analytic model. Reconnection occured on a time scale of log eta , where eta is the resistivity. Simulations were carried out for a cylindrical flux tube with a helical magnetic field, and also for a sheared slab magnetic field. In the simulations, an intense current sheet formed along a stagnation line of the velocity field, which coincided with a magnetic field line and was the locus of magnetic field reconnection. The reconnection was not steady. The current density in the current sheet rose exponentially in time, reached a peak value, and rapidy decayed. The peak current density scaled inversely with resistivity. The time to reach the peak current density, which can be identified as the reconnection time, had a Petschek like scaling. This was the first demonstration of this scaling in 3D. A simple analytic 1D stagnation flow reconnection model can explain the scaling of peak current and reconnection time.

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