Reconnection of Magnetic Fields with Stressed X-type Neutral Points

Astronomy and Astrophysics – Astronomy

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The reconnection of two-dimensional stressed X-type neutral point magnetic fields is studied via solution of the nonlinear resistive MHD equations and by analytical solution of the linear eigenvalue problem. Previous linear studies [I. Craig and A. McClymont, Ap. J. 371, L41 (1991); A. Hassam, Ap. J. submitted (1991)] have shown that such stressed fields may relax on a time substantially shorter than the usual time scale for liner reconnection (i.e. eta (3/5) ). We find that for azimuthally symmetric (m=0) and nonsymmetric (m>0) perturbations, the fields relax to the unstressed X-type neutral point at a rate close to that predicted by linear theory, provided the fields at the boundaries are fixed, and there is no flow through the boundaries. If outflowing boundary conditions are imposed, we find that the perturbed X-point evolves into a sheet current within several Alfven times. This process is of the type proposed to explain solar flare discharges [J. Dungey, Phil. Mag. 44 354 (1953)].

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