Multiple X line reconnection. I - A criterion for the transition from a single X line to a multiple X line reconnection

Physics

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Geomagnetism, Lines Of Force, Magnetic Field Reconnection, Magnetopause, Computerized Simulation, Daytime, Incompressible Flow, Space Plasmas, Tearing Modes (Plasmas), Two Dimensional Models

Scientific paper

A two-dimensional simulation model, based on incompressible magnetohydrodynamic equations, is utilized to study the magnetic reconnection process. Plasma dynamics in the diffusion region is examined and diffusion length and width are calculated. It is observed that the formation of magnetic islands and the occurrence of multiple X line reconnection are related to the development of tearing instability in the diffusion region of the reconnection configuration. The tearing instability criterion is evaluated as the l/delta ratio is greater than 7 coth (8/S exp 0.5), where S is the Lundquist number based on the width of the diffusion region, l is the half-length, and delta is the half-width of the diffusion region. The relationship between the l/delta ratio, the system length, the imposed plasma inflow rate, and the resistivity is analyzed. The data reveal that the l/delta ratio increases with an increasing length and reconnection rate, and decreasing resistivity. Examples of single X line and multiple X line reconnections are presented.

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