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Gombosi 1991
Gombosi, T.I. (1991). An analytic solution to the steady-state double adiabatic equations. Geophysical Research Letters 18: doi: 10.1029/91GL01614. issn: 0094-8276.

20 moment transport equations applicable to low &bgr; plasmas of thermal origin in rotating planetary magnetospheres are presented. An analytic solution is found for a set of simplified equations describing the steady-state transport of collisionless plasma neglecting heat flow effects, which is also known as the double adiabatic situation [chew et al., 1956>. The new element of this analytic solution is a closed form solution for the variation of the parallel flow velocity, u, along magnetic field lines. The solution is significantly different from the often used assumption that, in the collisionless regime, the divergence of the parallel flow velocity is negligible (cf. [Burgers, 1969>). It is shown that only T/B remains constant along the field line (as predicted by earlier calculations), while the density, parallel temperature and parallel Mach number vary as n/B∝1/u, T∝1/u2, and Mu2, respectively (in contrast to earlier predictions of n/B=const, T=const, and M=const.). ¿ American Geophysical Union 1991

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Abstract

Keywords
Space Plasma Physics, Transport processes, Space Plasma Physics, Kinetic and MHD theory, Magnetospheric Physics, Plasmasphere, Magnetospheric Physics, Planetary magnetospheres
Journal
Geophysical Research Letters
http://www.agu.org/journals/gl/
Publisher
American Geophysical Union
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