Thin, rotating plasma disks

Details Thin, rotating plasma disks Thin, rotating plasma disks

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jgr....88...13c&link_type=abstract

Journal of Geophysical Research, vol. 88, Jan. 1, 1983, p. 13-18.

Physics

4

Earth Magnetosphere, Jupiter Atmosphere, Plasma Density, Plasma Equilibrium, Rotating Plasmas, Equilibrium Equations, Magnetic Field Configurations, Planetary Ionospheres, Plasma Temperature

Scientific paper

The MHD equilibrium of thin, rotating plasma disks is considered. An axisymmetric steady state is assumed. A corotation lag is included, as is a nonzero toroidal field with Bphi varies as rBr. Rigorous expressions are obtained for a characteristic Alfven Mach number and temperature, both of which involve vertical averages. If there is strict corotation, the temperature always diverges at large radii. If there is a corotation lag, the temperature need not diverge, and the magnetodisk solutions can extend to arbitrarily large radii. With weak additional assumptions, it is shown that MA is less than 2 exp 1/2 for a mainly poloidal field and MA is less than unity for a mainly toroidal field. For the Jovian magnetodisk, MA = 0.8 from Voyager 1 inbound data, and the observation of a temperature nearly constant or slowly decreasing with r from 20 RJ to 80 RJ on the outbound pass implies a corotation lag there.

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