New generalized dispersion relation for low-frequency electromagnetic waves in Hall-magnetohydrodynamic dusty plasmas

Physics

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Dusty Plasmas, Plasma Magnetohydrodynamics, Dispersion Relations, Electromagnetic Waves, Plasma Alfven Waves, Dusty Or Complex Plasmas, Plasma Crystals, Magnetohydrodynamic Waves, Magnetohydrodynamic And Fluid Equation, Electromagnetic Waves

Scientific paper

A generalized linear theory for electromagnetic waves in a homogeneous dusty magnetoplasma is presented. The waves described are characterized by a frequency which is much smaller (larger) than the electron gyrofrequency (dust plasma and dust gyrofrequencies), and a long wavelength (in comparison with the ion gyroradius and the electron skin depth). The generalized Hall-magnetohydrodynamic (GH-MHD) equations are derived by assuming massive charged dust macroparticles to be immobile, and Fourier transformed to obtain a general dispersion relation. The latter is analyzed to understand the influence of immobile charged dust grains on various electromagnetic wave modes in a magnetized dusty plasma.

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