Abstract
We investigate the Jeans instability of self‐gravitating magnetized dusty plasma including the effect of polarization force on the massive charged dust grains. The basic dusty magnetohydrodynamic (MHD) equations are constructed considering the effect of magnetic field, gravitational force and polarization force. A general dispersion relation and condition of Jeans instability is obtained using normal mode analysis. It is found that polarization force modifies the condition of Jeans instability but it is unaffected due to magnetic field. The polarization force has destabilizing while magnetic field has stabilizing influence on the growth rate of Jeans instability.
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