On the stability of self-gravitating magnetized dusty plasmas

Physics

Scientific paper

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Impurities In Plasmas, Plasma Kinetic Equations, Dielectric Properties, Electrostatic Waves And Oscillations, Macroinstabilities, Microinstabilities, Plasma Dynamics And Flow, Magnetohydrodynamics And Plasmas, Origin, Formation, Evolution, Age, And Star Formation, Molecular Clouds, H2 Clouds, Dense Clouds, And Dark Clouds, Molecular Clouds, H2 Clouds, Dense Clouds, And Dark Clouds

Scientific paper

The effects of a homogeneous magnetic field and the plasma nonuniformity on the dispersion relations of various electrostatic waves in self-gravitating magnetized dusty plasmas have been investigated. For this purpose, the kinetic dielectric response functions for the electrons and ions distributions have been used and the dielectric response function for the magnetized dust grains has been derived from the hydrodynamic equations that include the self-gravitational potential. Thus, extremely massive charged dust grains are subjected to both the electromagnetic and gravitational forces. Analytical studies of the dispersion relations in various frequency and wave number regimes reveal that both the magnetic fields and plasma inhomogeneities contribute to the stability of a self-gravitating dusty plasma system. The results of this investigation should be useful in understanding the stability of dusty proto-stars and dusty dark molecular clouds, which are held in strong magnetic fields and equilibrium density gradients.

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