On the Cross-Scale Evolutions of the Magnetohydrodynamic Waves in the Space Plasma

Physics – Plasma Physics

Scientific paper

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[7811] Space Plasma Physics / Discontinuities, [7815] Space Plasma Physics / Electrostatic Structures, [7836] Space Plasma Physics / Mhd Waves And Instabilities, [7852] Space Plasma Physics / Solitons And Solitary Waves

Scientific paper

The characteristic scale lengths of the space plasma range from the electron-inertial length to the magnetohydrodynamic (MHD) scale length. The high-frequency electromagnetic waves in the plasma rest frame are confined above their cut-off frequencies, which are approximately the electron plasma frequency. In contrast, the low-frequency magnetohydrodynamic waves can undergo cross-scale evolutions from the low-frequency electromagnetic waves to the median-high frequency electrostatic waves, such as the ion-acoustic waves and the electrostatic lower hybrid waves. Since the magnetohydrodynamic waves can be obtained from the ion-electron two-fluid plasma at the long-wavelength limit, and since the ion-inertial effect, the electron-inertial effect, the displacement-current effect, and the charge-separation effect can be easily included in or removed from the two-fluid model, we use the two-fluid model, instead of the one-fluid Hall MHD model, to examine the importance of the above listed effects in the cross-scale evolution of the magnetohydrodynamic waves. Our results re-confirm our previous theoretical results (Lyu and Kan, 1989) that the ion inertial effect plays an important role on the electric field and magnetic field polarizations and the formation of solitons or wave trains in the two-fluid plasma, whereas the electron inertial effect is essential for the formation of the rotational structure, in which the magnetic field ceases to rotate due to wave mode evolution from an electromagnetic wave to an electrostatic wave. Our results also indicate that, among the MHD waves, the slow-mode wave is the only wave mode that is unaffected by both the electron-inertial effect and the displacement-current effect. Application of our results to the observed nonlinear waves in the solar wind and the possible kinetic interactions between the electrons and the electrostatic waves will be discussed.

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