Effect of electron inertia and electrical resistivity on jeans instability of quantum plasma

Abstract

Theanalytical description is presented for the influence of electron inertia and electrical resistivity on the Jeans instability magnetized quantum plasma. The QMHD fluid model is used toformulating the problem. The general dispersion relation is obtained using the normal mode analysis technique, which is reduced for both the parallel and perpendicular mode of propagation. The Jeans criterion of instability is modified by electron inertia, porosity, viscosity and quantum correction in the perpendicular of the magnetic field. From the graphical presentation we show that electron inertia hasstabilized the system with magnetized quantum plasma but in the absence of magnetic field and quantum correction, the electron inertia has a destabilizing influence on the growth rate of instability in the system. The condition of instability is affected by the presence of Alfven velocity, porosity and quantum parameter. The graphical presentation shows that the magnetic field and quantum correction has a stabilizing effect on the system.