Mathematics
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.213..197o&link_type=abstract
Astrophysics and space science, vol. 213, no. 2, p. 197-204
Mathematics
Analysis (Mathematics), Magnetohydrodynamic Stability, Plasma Slabs, Radiative Transfer, Approximation, Convective Flow, Cosmic Rays, Differential Equations, Eigenvalues, Optical Thickness, Porosity
Scientific paper
The thermosolutal instability of a radiating two-component plasma, in a porous medium in the presence of a uniform vertical magnetic field, is examined with respect to the effects of collision frequency and radiative transfer. A combination of the Bestman and Chandrasekar methods is used to solve the eigenvalue problem with two-dimensional disturbances for the case of stationary convection. Radiation present on the onset of instability is found to have a destabilizing effect for even a very small radiation parameter, of the order alpha (0.1); concentration gradient on the other hand has a stabilizing effect on the system. The effect of collision on the onset of stationary cells diminished for the optical thin non-grey plasma-near equilibrium. This is of paramount importance in cosmic ray physics, as the interaction between the ionized and neutral gas components represents a state which often exists in the universe.
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