Influence of finite larmor radius correction on magneto gravitational instability of anisotropic quantum plasma

The effect of finite Larmor radius correction of ion to the pressure tensor (FLR) and pressure anisotropy is studied on the Jeans instability of self-gravitating quantum magnetohydrodynamic (QMHD) plasma considering linear approximation. The effect of FLR and pressure anisotropy is incorporated in the Fermi degenerate quantum plasma and basic Chew-Goldberger and Low (CGL) equations are modified. The linear QMHD equations including the quantum Bohm potential in the momentum transfer equation of anisotropic plasma, continuity equation and the energy equations are linearized. A linear analytical dispersion relation is obtained using the normal mode analysis. The non-gravitating magnetized mode is obtained which provides the hose instability and it is independent of quantum corrections. The gravitating mode modified due to the quantum corrections is obtained separately. The Jeans criterion of instability is examined and it is found that due to increase in quantum correction parameter the critical Jeans wave number and unstable region decreases. Hence it has destabilizing influence on the growth rate of Jeans instability of self gravitating anisotropic pressure quantum plasma.