An analytic solution to the steady-state double adiabatic equations

Physics

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Adiabatic Conditions, Collisionless Plasmas, Planetary Magnetospheres, Space Plasmas, Transport Theory, Boltzmann Transport Equation, Mach Number, Plasma Dynamics

Scientific paper

A set of 20 generalized moment-transport equations applicable to low-beta (low random energy density/magnetic energy density) plasmas of thermal origin in rotating planetary magnetospheres. An analytic solution is obtained for a set of simplified equations characterizing the steady-state transport of collisionless plasma; the novel element of this analytic solution is a closed-form solution for the parallel-flow velocity variation along magnetic field lines. It is shown that only T(perpendicular)/B remains constant along the field line, while density, parallel temperature, and parallel Mach number vary.

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