Jeans radiative instability with FLR correction in astrophysical quantum plasma

Abstract

We present a study of Jeans radiative instability within the framework of quantum magnetohydrodynamics for a partially ionized plasma, retaining the effects of finite ion Larmor radius (FLR) correction, viscosity, and also quantum correction. Using normal mode analysis, the general dispersion relation is obtained, for the discussion of instability will be reduced for the parallel and perpendicular modes of propagation, and the condition of instability will be obtained. In this paper, we challenge this assumption by considering that the contributions of these parameters are regarded as different. Our numerical results confirm the modification in the instability criterion due to the presence of quantum correction, FLR correction, and viscosity of the partially ionized plasma. The inclusion of these terms gives important implications for galaxy formation in astrophysical environments.