Effect of magnetic field on Jeans instability of self gravitating strongly coupled dusty plasma

The effect of the magnetic field on the Jeans instability of self-gravitating strongly coupled dusty plasma is investigated. The medium consists of extremely massive, negatively charged strongly correlated dust grains and weakly correlated Boltzmann distributed electrons and ions. The basic equations of the problem are constructed using generalized hydrodynamic model. In deriving 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 found to be affected due to the presence of viscoelastic effects and magnetic field. The dispersion relation is further reduced for hydrodynamic and kinetic regime of propagation. The condition of Jeans instability is also obtained for both the regimes of propagation. Numerical results are presented to show the effect of magnetic field and time relaxation parameter which is found to have stabilizing influence on growth rate of Jeans instability in strongly coupled dusty plasma. The condition of Jeans instability are compared in kinetic and hydrodynamic regime.