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Title: Secondary instability in 3D magnetic reconnection. Interim report

Technical Report ·
OSTI ID:5170167

We consider the transition to turbulence in three dimensional reconnection of a magnetic neutral sheet. We find that the transition can occur via a three-step process. First, the sheet undergoes the usual tearing instability. Second, the tearing mode saturates to form a two-dimensional quasi-steady state. Third, this secondary equilibrium is itself unstable when it is perturbed by three-dimensional disturbances. Most of this paper is devoted to the analysis and simulation of the three-dimensional linear stability properties of the two-dimensional saturated tearing layer. The numerical simulations are performed with a semi-implicit, pseudospectral-Fourier collocation algorithm. We identify a three-dimensional secondary liner stability which grows on the ideal timescale. An examination of the modal energetics reveals that the largest energy transfer is from the mean field to the three-dimensional field, with the two-dimensional field acting as a catalyst.

Research Organization:
Naval Research Lab., Washington, DC (United States)
OSTI ID:
5170167
Report Number(s):
AD-A-248630/6/XAB; NRL/MR-4440-92-6966
Country of Publication:
United States
Language:
English