Hall Magnetohydrodynamics with Electron inertia

Physics – Plasma Physics

Scientific paper

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[7599] Solar Physics, Astrophysics, And Astronomy / General Or Miscellaneous, [7836] Space Plasma Physics / Mhd Waves And Instabilities

Scientific paper

Waves occurring in Hall Magnetohydrodynamics (HMHD) show many interesting features, such as the incompressible MHD shear Alfvén wave becomes a compressible wave while the two MHD compressible waves become incompressible, the fast wave becoming mostly electromagnetic and the slow wave becomes almost a fluid-dynamical wave. These features have been supported by numerical simulations by Dastgeer et al. Recent numerical simulations on solar wind turbulence show some interesting features for the power spectra, like the predominance of Whistler cascades in the range kd_e < 1 , where k is the wave number and de is the electron inertial length. In this work, we first consider the linear dispersion relation for a complete two-fluid plasma with the electron mass me not equal to zero. We analyze the different branches of the dispersion relation for different ranges of kd_e , i.e., kd_e > 1 and kde < 1, in addition to the ranges kd_i >1 and kd_i <1. The wave characteristics, which show many significant features are discussed and plotted numerically.

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