MHD Simulation of Magnetic Flux Transport Along Subphotospheric Flux Ropes

Physics

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7513 Coronal Mass Ejections (2101), 7522 Helioseismology, 7529 Photosphere

Scientific paper

We consider the plasma and magnetic field dynamics of a vertical flux rope located below the photosphere that is subjected to footpoint twisting at the base of the flux rope. Such a structure may constitute the idealized subphotospheric extension of a leg of a coronal flux rope. In the simulation, the initial configuraton is a straight cylinder having both poloidal (locally azimuthal) and toroidal (locally axial) magnetic field components. The simulation is carried out in full three dimensions (3-D). This flux rope has a magnetic field profile similar to that of the force-free Lundquist model but need not be force free. The magnetic field pitch is zero at the center of the flux rope, reaching maximum at the edge of the flux rope, beyond which the field is entirely poloidal. We also use, as a different limiting case, the uniform-twist Gold-Hoyle flux rope, which has zero field outside the current channel. For both models, the plasma β is such that β < 1 inside and β >> 1 outside the current channel. We focus on the evolution of the poloidal field. The simulation is started by injecting a quantity of poloidal flux at the bottom of the simulation domain, i.e., by twisting the footpoints by a prescribed amount. We investigate the resulting plasma motion and magnetic field variations inside and outside the current channel. Because of the different β regimes, the current channel and the poloidal field outside behave differently. The simulation is carried out for the two different flux rope models, with and without noise, and with and without stratification. We examine the flow field and magnetic field values on isodensity surfaces as a function of the depth of the footpoints and discuss the implications for photospheric signatures.
Work supported by ONR.

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