Jeans instability of finitely conducting radiative rotating plasma with FLR corrections flowing through porous medium

Abstract

The effect of radiative heat-loss functions, rotation, porosity, finite electrical resistivity and finite ion Larmor radius (FLR) corrections, on the gravitational instability of infinite homogeneous plasma, has been explored integrating the consequences of radiative heat-loss function and thermal conductivity. The general dispersion relation is obtained by means of the normal mode analysis method with the help of appropriate linearized perturbation equations of the problem. The general dispersion relation is further reduced for rotation axis parallel and perpendicular to the magnetic field. We locate that the presence of radiative heat-loss function and thermal conductivity amend the fundamental Jeans criterion of gravitational instability into radiative instability criterion. Numerical computations have been executed to show the effect of various parameters on the growth rate of the Jeans-gravitational instability. We find that rotation, FLR corrections and medium porosity stabilize the growth rate of the system in both the longitudinal mode and transverse mode of propagation. Our result demonstrates that the rotation, porosity and FLR corrections affect the dense molecular cloud configuration and star formation.