U. Ziegler et P. Ulmschneider, DYNAMICAL RESPONSE OF MAGNETIC TUBES TO TRANSVERSE PERTURBATIONS .2. TOWARDS THIN FLUX TUBES, Astronomy and astrophysics, 327(2), 1997, pp. 854-862
The dynamical response of magnetic flux tubes due to local transverse
periodic perturbations is investigated by numerical means. Our aim was
to check the applicability of the thin flux tube approximation for ve
rtically oriented flux tubes with moderate magnetic field strength (pl
asma beta = 1) and diameters 100 km, 50 km and 25 km immersed in an ot
herwise homogeneous nonmagnetic environment. All tubes has been subjec
t to the same driver. To resolve the flux tube in a 2000 x 2000 x 1000
km(3) computational domain, a multiple nested grid version of a 3D MH
D code is used. We find that a description as ideally thin flux tube b
ecomes more and more questionable if the diameter of the tube decrease
s. For the thinnest tube we found eg. an almost complete split up into
a fork-like geometry with two counterrotating legs. This can be expla
ined by a more rigorous interaction of the tube with the ambient mediu
m: Geometrically thinner flux tubes are less inert than corresponding
thick tubes and therefore experience stronger backreaction forces beca
use thinner tubes are easier to displace horizontally. As a consequenc
e of this, their cross sections are significantly deformed contradicto
ry to the assumptions made in the thin flux tube approximation. The en
ergy loss from the internal tube motions to the surroundings by acoust
ic radiation is found to be anticorrelated with the tube radius ie. th
inner tubes loose more wave energy than thicker ones.