Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...278..589b&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 278, no. 2, p. 589-600
Astronomy and Astrophysics
Astrophysics
2
Force-Free Magnetic Fields, Magnetic Field Configurations, Magnetohydrodynamics, Photosphere, Solar Atmosphere, Solar Corona, Solar Magnetic Field, Current Density, Lame Functions, Lorentz Force, Partial Differential Equations, Spherical Coordinates
Scientific paper
Using numerical relaxation techniques, we show that, in the case of one ignorable variable, only part of the theoretically predicted coronal force-free magnetic field equilibria are stable. A basic parameter, determined by the conditions at the photosphere and related to the total energy in the system (as well as to the fall of the magnetic field intensity with the heliocentric distance) is identified: it is only within certain (continuous) ranges of values of this parameter that stable equilibria can exist. When an unstable analytical equilibrium state is used to set up the initial conditions for the problem it (1) either decays to a lower total energy, relaxed state (not predicted by the theory) or (2) it runs away, without reaching any relaxed state.
Bruma C.
Cuperman Sami
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