Thin Flux Approximation For Reconnection In A Y-type Current

Astronomy and Astrophysics – Astronomy

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We study the retraction of thin flux tubes after reconnection. During reconnection, magnetic field lines, initially oriented in different directions and separated by a current sheet, are broken and reconnected. This process releases a large amount of magnetic energy that accelerates the fluid particles in, for example, Coronal Mass Ejections. A new model, describing the effect on the global field, of reconnection occurring within a small region of a pre-existing current sheet of uniform strength, has been recently proposed by Linton and Longcope (2006). This model is called patchy reconnection. Their prototype calculation used a flat current sheet with uniform-surface-current density. We generalize this approach using a Y-type current sheet whose current density increases away from the Y-point. We solve analytically and numerically thin flux tube equations for dynamics of thin post-reconnection flux tubes. Two types of retracting flux tubes are possible in this geometry: outward (U-shaped) tubes moving away from the tip of the sheet at increasing speed, and inward (Omega-shaped) tubes moving toward the tip at decreasing speed. We present, theoretically and via simulations, time-dependent solutions for both types of flux tubes.This work is supported by the National Science Foundation under Grant ATM 04-16340.

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