Computer Science – Numerical Analysis
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...280..647h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 280, no. 2, p. 647-660
Computer Science
Numerical Analysis
18
Continuous Spectra, Coronal Loops, Magnetohydrodynamic Waves, Photosphere, Solar Magnetic Field, Space Plasmas, Boundary Conditions, Convection Cells, Eigenvalues, Lagrangian Function, Mathematical Models, Numerical Analysis, Plasma Physics
Scientific paper
The effect of the photospheric boundary conditions on Alfven continuum waves in coronal magnetic loops is considered. A coronal loop is modeled as effectively line-tied to the photospheric plasma, such that the foot points of the loop are forced to follow the photospheric velocity perturbations. Starting from recent work on the nature of magnetohydrodynamic (MHD) waves in line-tied magnetic loops (Goedbloed & Halberstadt 1993), we derive an expression for the Alfven continuum frequencies in a line-tied cylindrical plasma, which reveals that the line-tied Alfven continuum no longer depends on the poloidal magnetic field and that the corresponding eigenmodes have a global ballooning character. Subsequently, we derive a variational principle by which the Alfven and slow continuum frequencies in a line-tied cylinder with density variation along the field lines can be obtained. It is shown that the line-tied Alfven continuum determines the coronal heating due to resonant absorption in coronal loops that are excited at the foot points.
Goedbloed J. P.
Halberstadt G.
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