Twist, Writhe and Rotation of Magnetic Flux Ropes in Filament Eruptions and Coronal Mass Ejections

Details Twist, Writhe and Rotation of Magnetic Flux Ropes in Filament Eruptions and Coronal Mass Ejections Twist, Writhe and Rotation of Magnetic Flux Ropes in Filament Eruptions and Coronal Mass Ejections

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008espm...12.3.54t&link_type=abstract

"12th European Solar Physics Meeting, Freiburg, Germany, held September, 8-12, 2008. Online at http://espm.kis.uni-freiburg.de/,

Physics

Scientific paper

We present the first quantitative analysis of the conversion of twist into writhe in the course of ideal MHD instabilities in erupting coronal magnetic flux ropes. For our analysis, we consider numerical simulations of two instabilities which have been suggested as trigger and initial driving mechanisms in filament eruptions and coronal mass ejections, namely the helical kink instability and the torus instability. We use two different coronal flux rope models as initial conditions in the simulations, namely the cylindrical Gold-Hoyle equilibrium and the toroidal Titov-Demoulin equilibrium.
For each model, we perform a series of simulations with different amounts of initial flux rope twist. In order to study both confined and ejective eruptions, we additionally use different initial potential fields overlying the flux rope in the simulations of the Titov-Demoulin model.
In all simulations, we measure the writhe of the flux rope and the corresponding rotation of its axis in vertical projection by making use of recently developed expressions which permit us to calculate writhe as a single integral in space. We discuss the implications of our results for filament eruptions, coronal mass ejections and magnetic clouds.

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