Physics – Plasma Physics
Scientific paper
Apr 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1121..156z&link_type=abstract
SPACE PLASMA PHYSICS: School of Space Plasma Physics. AIP Conference Proceedings, Volume 1121, pp. 156-163 (2009).
Physics
Plasma Physics
Accretion And Accretion Disks, Magnetohydrodynamics And Plasmas, Solar Interior, Atmospheres
Scientific paper
The lecture gives the basic principles of magnetic field influence on the large scale dynamics of rotating fluids. Conservation of total vorticity in rotating hydrodynamic fluids results in occurrence of Rossby waves. However, the total vorticity is not conserved in the presence of horizontal magnetic field, therefore the large scale dynamics of fluids is significantly changed. The magnetic field leads to the splitting of ordinary Rossby waves into two different modes: fast and slow magnetic Rossby modes. The fast magnetic Rossby modes are similar to hydrodynamic Rossby waves modified by the magnetic field and the slow magnetic Rossby waves are new low-frequency modes. Analytical dispersion relations of magnetic Rossby waves are derived for a rotating channel of varying height and for a rotating sphere. The future possible applications of magnetic Rossby wave theory to tachoclines of solar type stars and magnetized galactic/accretion discs are shortly discussed.
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