Singular lines of one-dimensional force-free magnetic field

Details Singular lines of one-dimensional force-free magnetic field Singular lines of one-dimensional force-free magnetic field

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979soph...61..379b&link_type=abstract

Solar Physics, vol. 61, Mar. 1979, p. 379-387.

Physics

18

Field Theory (Physics), Force-Free Magnetic Fields, Lines Of Force, Solar Magnetic Field, Current Sheets, Hydrodynamic Equations, Magnetic Field Configurations, One Dimensional Flow, Solar Corona

Scientific paper

The paper considers the behavior of adiabatically slow deformations of force-free fields, with applications to the solar atmosphere. Using the linear approximation it is shown that singular magnetic force lines or surfaces appear for a wide class of boundary perturbations of one-dimensional force-free fields. This signifies that the problem of quasi-steady deformation of frozen-in magnetic fields cannot be solved. In connection with the solar corona magnetic field, this means that discontinuities (current sheets) will arise when the magnetic field is deformed by (for example) photospheric motion.

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