Effects of radiation pressure and polarization force on Jeans instability in magnetized strongly coupled dusty plasma

The combined effects of radiation pressure and polarization force on the linear Jeans instability of magnetized strongly coupled dusty plasma are studied using the generalized hydrodynamic fluid model. The electron and ion fluids are assumed to be inertialess and their thermal radiation pressures including gas pressures is considered in the single fluid momentum transfer equation of strongly coupled dusty fluid. The general dispersion relation is derived using normal mode analysis and discussed for transverse and longitudinal modes in both the strongly coupled and weakly coupled plasmas. The Jeans instability criterion determines the instability of the system which is significantly modified by radiation pressure and viscoelastic effects. The stabilizing influence of the Coulomb coupling parameter, dust radiation velocity and viscoelastic coefficients on the growth rates of Jeans instability is observed. The different velocities, Jeans wavenumber and Jeans mass have been calculated in the dust molecular cloud and the astrophysical consequences of the results are discussed. (paper)