On the case of approximate pressure isotropy in the quiet near-earth plasma sheet

Physics

Scientific paper

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Anisotropy, Approximation, Collisionless Plasmas, Geomagnetic Tail, Pressure Distribution, Magnetohydrodynamic Stability, Plasma Sheaths, Steady State

Scientific paper

The observed approximate pressure isotropy in the near-earth geomagnetic tail is theoretically explained. A new formulation of the self-consistent theory of two-dimensional anisotropic steady state is given by generalizing the Grad-Shafranov equation. It is shown that anisotropy-driven instabilities, active in the midplane of the plasma sheet, lead to highly isotropic pressure tensors for the entire plasma sheet. Due to the weakness of the magnetic field in the midplane, the instabilities require only a small pressure anisotropy to be excited. An order of magnitude analysis is confirmed by a numerical example.

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