Collisional tearing instability in the current sheet with a low magnetic Lundquist number

Physics

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Collisional Plasmas, Current Sheets, Geomagnetic Tail, Magnetohydrodynamic Stability, Space Plasmas, Tearing Modes (Plasmas), Magnetic Field Reconnection

Scientific paper

An MHD model is used to calculate the growth rate of the collisional tearing mode instability in a current layer with a Lundquist number in the range 3-100,000. The maximum growth rate is found to be a function of the Alfven transit time in the current sheet and the Lundquist number. When the Lundquist number is below 50, the growth rate asymptotically approaches a value of about -0.075/transit time. The discovery of the dependence of the asymptotic value is considered to be of use in studies of the current sheet in the diffusion region of a magnetic reconnection configuration, where the Lundquist number will be in the range 2-100.

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