3D Structure of A Magnetic Reconnection Jet: Application to Looptop Hard X-Ray Emission

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We examine the magnetic reconnection triggered by a shock wave generated by a point explosion, by performing two-dimensional(2D) resistive magnetohydrodynamic(MHD) numerical simulations with high spatial resolution, and three-dimensional(3D) simulations with low spatial resolution. We found that the magnetic reconnection starts long after the shock wave (fast-mode MHD shock) passes a current sheet. In 2D models, the current sheet evolves as follows: (i) Tearing-mode instability is excited by the shock wave, and the current sheet becomes thin in its nonlinear stage. (ii) The current-sheet thinning is saturated when the current-sheet thickness becomes comparable to that of Sweet-Parker current sheet. After that, Sweet-Parker type (slow) reconnection starts, and the current-sheet length increases. (iii) ``Secondary tearing-mode instability'' occurs in the thin Sweet-Parker current sheet. (iv) As a result, further current-sheet thinning occurs and anomalous resistivity sets in, because gas the density decreases in the current sheet just after the plasmoid is ejected. Petschek type (fast) reconnection starts and heats the gas. The magnetic energy is released quickly while the magnetic islands are moving in the current sheet during Petschek type reconnection. The released magnetic energy is determined by the magnetic field strength, not energy of initial explosion, nor distance between the explosion and current sheet (i.e., the initial explosion is only a perturbation). The results such as reconnection rate are not different between 3D and 2D models. In actual Sun, the magnetic Reynolds number is much larger than the value in the numerical simulations so that Petschek type reconnection will occur after the multiple tearing instability. We suggest that the multiple tearing instability is a possible mechanism to trigger the fast reconnection.

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