Other
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992aas...180.5505f&link_type=abstract
American Astronomical Society, 180th AAS Meeting, #55.05; Bulletin of the American Astronomical Society, Vol. 24, p.819
Other
Scientific paper
A new method for solving plasma MHD problems arising from the interaction of plasmas with magnetic fields is presented. The approach is based on studying directly the coupled evolution of electric current and plasma density (and related pressure). This contrasts with previous studies based on velocity and magnetic field and in which the electric current is found from derivatives of the field. The method presented here shows that transverse-current waves (a mix of Alfven and magneto-acoustic modes) propagate in a low-beta plasma at the Alfven speed. The origin and distribution of the magnetic free-energy in the plasma results directly from the currents without resorting to calculating differences between global quantities. The expressions presented show that the approach of using the ``inductance'' is good in some cases, but may be misleading in other cases. The method proposed is well suited for studying the slow buildup of magnetic stressed configurations leading to dynamic phenomena such as flares and prominence eruptions. This occurs because the method can accurately treat the coupling between plasma (gravity and pressure effects), and magnetic field (Lorentz forces). This coupling is critical as the plasma changes from high- to low-beta regimes in the solar chromosphere. Two examples are shown in detail for typical two-dimensional cases of small departures from the current-free case. For these the analytical expressions of the general solutions are derived. A full solution for these simple cases using observable boundary conditions is found. The method presented is specially interesting for more complicated 3D cases where the electric currents can not only displace, but also realign themselves.
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