Parabola instability of Rayleigh-Taylor instability in quantum magnetized plasmas

Abstract

Quantum effects on the Rayleigh-Taylor instability in an inhomogeneous stratified incompressible plasma layer have been investigated. The combined effect of horizontal and vertical magnetic field has been taken into account. The solution of the linearized equations of the system together with the boundary conditions leads to derive the dispersion relation. The behaviour of growth rates with respect to the quantum effects beside the combined effect of magnetic field components has been analyzed. The results show that the growth rate depends on the λ*=λL_D (λ and L_D are constants). The square normalized growth rate as a function λ* describes in a parabola equation formula, where the maximum instability happens at λ*=-0.5.