TY  - JOUR
A1  - Toeroek, T.
A1  - Leake, J. E.
A1  - Titov, Viacheslav S.
A1  - Archontis, V.
A1  - Mikic, Z.
A1  - Linton, M. G.
A1  - Dalmasse, K.
A1  - Aulanier, Guillaume
A1  - Kliem, Bernhard
T1  - Distribution of electric currents in solar active regions
JF  - The astrophysical journal : an international review of spectroscopy and astronomical physics ; Part 2, Letters
KW  - magnetohydrodynamics (MHD)
KW  - Sun: corona
KW  - Sun: coronal mass ejections (CMEs)
Y1  - 2014
U6  - https://doi.org/10.1088/2041-8205/782/1/L10
SN  - 2041-8205
SN  - 2041-8213
VL  - 782
IS  - 1
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Toeroek, T.
A1  - Kliem, Bernhard
A1  - Berger, M. A.
A1  - Linton, M. G.
A1  - Demoulin, Pascal
A1  - van Driel-Gesztelyi, L.
T1  - The evolution of writhe in kink-unstable flux ropes and erupting filaments
JF  - Plasma physics and controlled fusion
N2  - The helical kink instability of a twisted magnetic flux tube has been suggested as a trigger mechanism for solar filament eruptions and coronal mass ejections (CMEs). In order to investigate if estimations of the pre-emptive twist can be obtained from observations of writhe in such events, we quantitatively analyze the conversion of twist into writhe in the course of the instability, using numerical simulations. We consider the line tied, cylindrically symmetric Gold-Hoyle flux rope model and measure the writhe using the formulae by Berger and Prior which express the quantity as a single integral in space. We find that the amount of twist converted into writhe does not simply scale with the initial flux rope twist, but depends mainly on the growth rates of the instability eigenmodes of higher longitudinal order than the basic mode. The saturation levels of the writhe, as well as the shapes of the kinked flux ropes, are very similar for considerable ranges of initial flux rope twists, which essentially precludes estimations of pre-eruptive twist from measurements of writhe. However, our simulations suggest an upper twist limit of similar to 6 pi for the majority of filaments prior to their eruption.
KW  - magnetohydrodynamics (MHD)
KW  - Sun: corona
KW  - Sun: filaments
Y1  - 2014
U6  - https://doi.org/10.1088/0741-3335/56/6/064012
SN  - 0741-3335
SN  - 1361-6587
VL  - 56
IS  - 6
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -