Jeans instability of rotating plasma with radiative heat-loss function and FLR corrections flowing through porous medium

Abstract

The effect of rotation, porosity and finite ion Larmor radius (FLR) corrections on the gravitational instability and radiative instability of infinite homogeneous plasma has been explored, accounting for 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. This dispersion relations is further reduced for rotation axis parallel and perpendicular to the magnetic field. The stability of the medium is argued for by the Routh-Hurwitz criterion and it is found that the Jeans criterion establishes the stability of the medium. We acknowledge that the presence of the radiative heat-loss function and thermal conductivity modifies the fundamental Jeans criterion of gravitational instability into a 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 as regards the structure in both the transverse mode and longitudinal mode or propagation. Our result demonstrates that the rotation, porosity and FLR corrections affect the dense molecular cloud configuration and star formation.