Other
Scientific paper
Apr 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jgr....97.3907b&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 97, no. A4, April 1, 1992, p. 3907-3917.
Other
18
Birkeland Currents, Magnetostatic Fields, Plasma Pressure, Space Plasmas, Anisotropic Media, Current Density, Earth Magnetosphere, Vlasov Equations
Scientific paper
The paper derives an expression for the parallel current density for a plasma characterized by negligible bulk flow (magnetostatic velocity and a two-component (anisotropic) pressure tensor by expanding the equilibrium Vlasov equation for each species in the adiabatic parameter until such point as a nonvanishing moment j-parallel = integral d-cubed vv-parallel f is identified. The result is a nonlocal one: it relates j-parallel at one point s along a field line to j-parallel at another (reference) point s0 plus an integral function of the pressure and magnetic field between them. The equation derived by Vasyliunas (1970) is generalized and extended to a plasma in which the pressure tensor is comprised of two separate elements, P-perpendicular and P-parallel. This equation follows when P-perpendicular is set equal to P-parallel and s and s0 are taken to be at the ionosphere and the equator. These results are compared to others in the literature.
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