Numerical Test of a Three-Dimensional Flux Rope Model for Coronal Mass Ejections Based on Ideal MHD Processes

Physics

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7509 Corona, 7513 Coronal Mass Ejections, 7519 Flares, 7524 Magnetic Fields, 7827 Kinetic And Mhd Theory

Scientific paper

A series of simulation runs in Cartesian coordinates are carried out, using the BATS-R-US code, to investigate the loss of equilibrium of the 3D flux rope configuration of Titov and Démoulin (1999) as a potential CME initiation mechanism. All numerical experiments are fully 3D and involve ideal magnetohydrodynamics. Our results show that the criterion R > √ {2} L, derived in the earlier study by neglecting the effects of line-tying of the poloidal field, may be a necessary condition for a loss of equilibrium, but it is not a sufficient one. The line-tying of the ends of flux rope leads to a much more stringent condition for an eruption to occur. The question remains whether it is possible to get a loss of equilibrium with the Titov and Démoulin model which will lead to a CME-like eruption. We do find evidence for a loss of equilibrium, but the resulting evolution of the system more closely resembles an impulsive-type flare rather than a CME. Whether there is a region of the model's parameter space where CME-like eruptions can occur remains to be determined.

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