External Magnetic Field Effects on the Rayleigh-Taylor Instability in an Inhomogeneous Rotating Quantum Plasma

Abstract

The effects of external magnetic field effects on the Rayleigh-Taylor instability in an inhomogeneous stratified quantum plasma rotating uniformly are investigated. The external magnetic field is considered in both horizontal and vertical direction. The linear growth rate is derived for the case where a plasma with exponential density distribution is confined between two rigid planes at 0 z  and , by solving the linear QMHD equations into normal mode. Some special cases are particularized to explain the roles that play the variables of the problem. The results show that, the presence of both external horizontal and vertical magnetic field beside the quantum effect will bring about more stability on the growth rate of unstable configuration. The maximum stability will happen in the case of wave number parallels to or in the same direction of external horizontal magnetic field.

On the Equilibrium of Stratified Viscoelastic Plasma With Quantum Pressure and Suspended Particles Saturating Porous Medium

“…The impact of quantum pressure with inclusion of magnetic field on RTI has been investigated by Hoshoudy (2009) and the vertical magnetic field is found to bring more stability on the growth rates of unstable configuration along with quantum effect. External magnetic field effect on RTI in non-homogeneous rotating plasma/fluids with an angular velocity has been demonstrated by Hoshoudy (2012). The plasma or fluids have been taken to be Newtonian in the aforesaid studies.…”