Current Sheet Formation Near a Hyperbolic Magnetic Neutral Line in a Variable Density Plasma

Physics

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Scientific paper

Current-sheet formation near a hyperbolic magnetic neutral line has been investigated by including the effects of sweeping and shearing of the magnetic field lines by the plasma flow and exact solutions of the MHD equations appropriate for these situations were given by Shivamoggi [1], [2]. The current-sheet evolution described by this solution is in agreement with laboratory experiments (Kirii et al [3]). For the case with no shearing of the field lines, this solution exhibits a finite-time singularity. The shearing of the magnetic field lines tends to impede the current-sheet formation. Investigation of the integrability aspects of the system of nonlinearly-coupled differential equations governing these dynamics has been made (Rollins and Shivamoggi [4]) which indicated the possibility of shear-induced chaotic evolution in the dynamical system in question. The investigation is extended to include the effects of density variation of the plasma (Shivamoggi and Rollins [5]). The current-sheet formation process is found to speed up in the presence of a plasma density build-up near the current sheet in agreement with the numerical simulation of Brunnel et al. [6] which described an enhanced reconnected magnetic flux when there is plasma density build up near the magnetic neutral point. This plasma density build-up produces a new finite-time singularity in the variable-density MHD solution.

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