Magneto-Thermal Instability of Rotating Partially Ionized Hall Plasma Flowing Through Porous Medium

The magneto-thermal instability of infinite homogeneous self-gravitating rotating partially ionized Hall plasma in the presence of viscosity, electrical resistivity, permeability, porosity, rotation and finite electron inertia is studied by means of linear perturbation analysis. A general dispersion relation is obtained using the normal mode analysis. Furthermore, the wave propagation parallel and perpendicular to the direction on magnetic field has been discussed. The stability of the system is discussed by applying Routh-Hurwitz criterion. For longitudinal propagation, it is found that the condition of radiative instability is independent of the magnetic field, collision frequency of neutrals with ions, Hall currents, finite electron inertia, porosity and viscosity; but for the transverse mode of propagation it depends on the strength of the magnetic field, rotation, porosity and electron inertia but independent of viscosity, permeability, electrical resistivity and collision frequency. From figures, we found that the effect of collision with neutrals, rotation, magnetic field and temperature dependent heat-loss function have a stabilizing influence while thermal conductivity and density dependent heat-loss functions have destabilizing influence on the self-gravitational instability of partially-ionized gaseous plasma. In addition, the classical Jeans condition regarding the rise of initial break up has been considerably modified due to the radiative heat-loss function.