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Geometrical investigation of the kinetic evolution of the magnetic field in a periodic flux rope
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10.1063/1.4817167
/content/aip/journal/pop/20/8/10.1063/1.4817167
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/8/10.1063/1.4817167
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Safety factor of the initial configuration, showing instability towards the kink instability.

Image of FIG. 2.
FIG. 2.

Evolution of selected magnetic surfaces at four different times ( ). Magnetic surfaces are shown in the inner part of the column where initially . The flux rope undergoes the kink instability with a progressive displacement of the flux rope axis and unwinding of the magnetic field lines in the inner region.

Image of FIG. 3.
FIG. 3.

Isosurface of the perpendicular electric field intensity ( ) in green and isosurfaces of the parallel electric field intensity ( ) in red and blue colours at time . The perpendicular electric field shows the Hall field regions, where electrons and ions decouple, while the bipolar structures of the parallel electric field are a typical product of kinetic streaming instability that are not present in MHD simulations.

Image of FIG. 4.
FIG. 4.

Poincaré map on the middle of the box ( ). Two times are shown, ((a) top) and ((b) bottom). Each colour indicates a map relative to a different starting point ( ) highlight with a dark diamond. The X-Y-axes are plotted as [20, 80] instead of [0, 100] to highlight the central part of the rope.

Image of FIG. 5.
FIG. 5.

Selected Poincaré map from Fig. 4(b) . As previously, the axes are plotted as [20, 80] to highlight the geometry in the central part of the rope.

Image of FIG. 6.
FIG. 6.

Schematic visualisation for understanding the mapping of the field lines. From one point to another on the same layer: . Equivalently with vector functions: .

Image of FIG. 7.
FIG. 7.

Toy model for understanding the asymmetry of QSL. In blue, we report the fan field lines, in red (respectively, in orange) a couple of field lines starting from a distance δ at the photospheric level above 1 (respectively, 1) surrounding a vertical (blue line) fan field line. In black, we draw the part of these couples of field lines below the photospheric level.

Image of FIG. 8.
FIG. 8.

Isocontour ( = 3000) of the -factor (calculated with the Pariat and Démoulin formula) at coloured by the strength of the magnetic field.

Image of FIG. 9.
FIG. 9.

Isocontour ( ) of the -factor (calculated with the adapted formula with periodic boundary condition) at , coloured by the strength of the magnetic field.

Image of FIG. 10.
FIG. 10.

Slices of at different levels ((a) , (b) , and (c) ) at plotted in logarithmic colour scale with X-Y-axis plotted in the subdomain and to highlight the central part of the rope.

Image of FIG. 11.
FIG. 11.

Poincaré maps on different levels ((a) , (b) , (c) ) at . As previously, the axes are plotted in the subdomain and to highlight the central part of the rope.

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/content/aip/journal/pop/20/8/10.1063/1.4817167
2013-08-05
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Geometrical investigation of the kinetic evolution of the magnetic field in a periodic flux rope
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/8/10.1063/1.4817167
10.1063/1.4817167
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