Effects of Elongation in Cylindrical Flux Rope Expansion

Physics

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2111 Ejecta, Driver Gases, And Magnetic Clouds, 2134 Interplanetary Magnetic Fields, 2164 Solar Wind Plasma, 7513 Coronal Mass Ejections, 7524 Magnetic Fields

Scientific paper

Theoretically, cylindrical flux ropes have been believed to expand only in the medium where the polytropic index γ is less than 1. However MHD simulations showed that flux ropes expand when γ is larger than 1. This discrepancy has been the subject of discussion. We found a new solution for MHD equations that satisfies the condition that cylindrical flux ropes can expand self-similarly even when γ is larger than 1. We achieved this by including the effects of elongation along the symmetry axis as well as radial expansion. By adopting the most common generation function for an expanding cylindrical flux rope, flux ropes described by this solution expand maintaining a force-free state, and conserving the magnetic flux and the magnetic helicity. We also describe the application to real interplanetary magnetic field data.

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