Computer Science – Numerical Analysis
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974a%26a....37...65h&link_type=abstract
Astronomy and Astrophysics, vol. 37, no. 1, Dec. 1974, p. 65-73.
Computer Science
Numerical Analysis
39
Magnetohydrodynamic Stability, Plasma Heating, Plasma Waves, Propagation Modes, Resistance Heating, Thermal Instability, Numerical Analysis, Plasma Diffusion, Plasma Temperature, Solar Corona, Thermal Diffusion
Scientific paper
The modes that can propagate in a resistive, current carrying and radiating plasma are studied. The energy equation includes wave heating, radiation cooling, anisotropic thermal conduction as well as Joule heating. It is shown that when the thermal instability occurs in such a medium, it tends to develop field aligned fine structures. The Joule effect, when it is sufficiently important, can be responsible for a number of particular instabilities: a thermal Joule instability, which can make unstable modes that would otherwise be stable when the current is less than some threshold value, and an 'anti-diffusion' mode, the effect of which is to concentrate the electric currents in fine field-aligned fibers. The nature and stability of modes whose frequency is less than the characteristic thermal frequencies is also studied.
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