Mirror mode and other compressive ULF modes

Physics – Plasma Physics

Scientific paper

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Extremely Low Radio Frequencies, International Sun Earth Explorers, Magnetohydrodynamics, Mirrors, Mode, Bow Waves, Mathematical Models, Plasma Physics, Shock Waves, Wave Dispersion

Scientific paper

A new kinetic method, close to fluid ones, is used to solve analytically the problem of ULF modes. For the first time, two solutions are clearly shown to exist simultaneously, even in an isotropic plasma, with the same M(parallel) polarization: they are called 'mirror mode' and 'slow mode' respectively, because the first one gives rise to the mirror instability when a sufficient anisotropy is included, and the second one gives rise to the usual slow mode when looking to the well documented low beta case. The used analytical procedure allows the two modes to be made to appear as the two solutions of the same quadratic dispersion equation. In contrast, the magnetohydrodynamic calculations are known to provide only one solution (called slow mode for small anisotropies and mirror instability for large perpendicular anisotropy); on the other hand, the usual analytical kinetic calculations do provide a correct treatment for all modes, but they generally need to remain tractable. Furthermore, the comparison between the kinetic results and the simple fluid ones appears much more straightforward with the method proposed than it does usually. The theoretical study allowed identification as mirror modes of the ULF waves observed downstream of the terrestrial bow shock in quasi-perpendicular conditions.

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