Singular lines in a one-dimensional force-free magnetic field

Details Singular lines in a one-dimensional force-free magnetic field Singular lines in a one-dimensional force-free magnetic field

Apr 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979pazh....5..143b&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 5, Mar. 1979, p. 143-147.) Soviet Astronomy Letters, vol. 5, Mar.-Apr. 1979, p. 77-79.

Astronomy and Astrophysics

Astronomy

Force-Free Magnetic Fields, Solar Corona, Solar Flares, Solar Magnetic Field, Adiabatic Conditions, Current Sheets, Perturbation, Solar Atmosphere

Scientific paper

The behavior of the perturbations in a force-free magnetic field caused by adiabatically slow deformations is investigated. In the linear approximation, for a rather wide class of boundary conditions in a force-free field depending on only one coordinate, singular lines of force of surfaces will appear on which the plasma displacement formally becomes infinite. Accordingly, the problem of quasi-steady deformation of a frozen-in field has no solution. For the solar corona, this result implies that changes in the magnetic field, such as those due to photospheric motions, should in general lead to the development of current sheets.

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