Computer Science – Sound
Scientific paper
Jul 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jgr....9510471s&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 95, July 1, 1990, p. 10471-10479.
Computer Science
Sound
18
Boundary Layer Plasmas, Eigenvalues, Equilibrium Equations, Geomagnetic Tail, Magnetohydrodynamic Waves, Satellite Sounding, Compressibility, Current Sheets, Perturbation Theory, Wave Excitation
Scientific paper
The spectrum of MHD waves associated with plasma sheet configurations is studied. The linear perturbation theory is derived, and the resulting generalized eigenvalue problem for the wave frequency is discussed. This problem generally displays a continuous spectrum with eigensolutions becoming singular at frequency-dependent positions from the neutral sheet. These singular modes, by phase mixing, create time-asymptotically damped solutions for the physical perturbations with frequencies depending on the location in the plasma sheet. For two-dimensional perturbations, the spectrum displays discrete eigenfrequencies with smooth eigensolutions in addition to a continuous part. Application of the theory to the earth's magnetotail leads to the finding that the lowest two-dimensional modes are natural candidates for the observed oscillations with periods of the order of minutes.
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