Effect of dust temperature on radiative condensation instability of self-gravitating magnetized dusty plasma

The problem of radiative condensation instability of self-gravitating dusty plasma, including the effects of dust temperature and the magnetic field, is investigated. The medium consists of extremely massive, negatively charged hot dust grains and Boltzmann distributed ions where the electrostatic force is much smaller than the gravitational one. We assume a three-component plasma having electrons, ions and charged dust grains, in which ions are inertialess having infinite thermal conductivity and electrons are inertialess having finite thermal conductivity. Quasi-neutral equilibrium is considered in which there is no electric field and free energy due to the gravitation field of dust grains. The basic equations of the problem are constructed and linearized. A linear dispersion relation is obtained using the normal mode analysis. The Jeans criterion of instability is determined, which depends on dust temperature and radiative cooling effects. The presence of magnetic field has no effect on the condition of Jeans instability. Numerical calculations have been performed to show the effects of various parameters on the growth rate of radiative condensation instability. It is observed that radiation cooling, magnetic field and dust temperature increase the acoustic stabilization of Jeans instability. The presence of magnetic field and dust temperature stabilizes the growth rate of the system under consideration.