Modified Jeans instability of strongly coupled inhomogeneous magneto dusty plasma in the presence of polarization force

Abstract

In the present work, the influence of the magnetic field and dust polarization force on the Jeans instability of self-gravitating strongly coupled inhomogeneous dusty plasma has been investigated. The dusty plasma containing strongly correlated negatively charged dust grains and weakly correlated Maxwellian electrons and ions which are embedded in a uniform magnetic field is considered. The construction of the equations is done by employing the generalized hydrodynamic (GH) model for magnetized strongly coupled dusty plasma. In deriving a dispersion relation, the plane-wave solutions are used on the linearized perturbation equations. The analysis is done by normal mode analysis theory. The dispersion relation is analyzed to obtain the Jeans criterion of instability. Numerical results are presented to show the effect of the polarization parameter, the magnetic field and the strong correlation effect of dust. The growth rates are further compared in the kinetic and hydrodynamic regime of propagation. It is observed that the decay in the growth rate is faster in the kinetic mode of propagation in comparison to the hydrodynamic mode.