Quantum effects on Rayleigh–Taylor instability in magnetized plasma

Abstract

The effects of the quantum mechanism and magnetic field on Rayleigh-Taylor ͑RT͒ instability in an ideal incompressible plasma are investigated. The explicit expression of the linear growth rate is obtained in the presence of fixed boundary conditions. It is shown that the magnetic field has a stabilizing effect on RT instability similar to the behavior in classical plasmas and RT instability is affected significantly by quantum effects. Quantum effects are also shown to suppress RT instability with the appropriate physical quantities. Some astrophysical parameters are discussed as an example to investigate the new effects.

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

“…For example, the quantum effects on the internal waves and the RTI in plasma is studied by Bychkov et al [21]. The effect of quantum mechanism on RTI in the presence of horizontal magnetic field was studied by Jintao et al [22], while Hoshoudy studied the same model in the presence of the vertical magnetic field [23,24]. The effects of quantum term on RTI in the presence of vertical or horizontal magnetic field of rotating plasma are studied by Hoshoudy [25,26].…”

“…A range of classical subject such as waves and stream instability (as Jeans instability [20] and Rayleigh-Taylor instability [3,4]) were studied again in quantum plasmas system. Currently, there are many studies on hydrodynamic instabilities in quantum plasmas, in particular RTI [21][22][23][24][25][26][27][28][29][30]. For example, the quantum effects on the internal waves and the RTI in plasma is studied by Bychkov et al [21].…”

Rayleigh-Taylor Instability in Magnetized Plasma

“…The plasma is immersed in a magnetic field, where the relevant liner perturbation equations may be written as (Refs. [9]- [17])…”

“…The instability of stratified plasmas in the presence of horizontal magnetic field of incompressible plasmas with the effect of a transverse velocity shear was studied by Wu et al [16]. The effect horizontal magnetic field on RTI of a plasma layer in the presence of quantum mechanism was studied by Jintao et al [17]. The effects of vertical magnetic field in the presence of quantum mechanism on RTI inviscous and viscous plasma were studied by Hoshoudy [18] [19].…”

Effect of Bohm potential and magnetohydrodynamic wave propagation in Fermi degenerate quantum plasma

“…The study of quantum plasma has a great interest now day's due to its many significant applications in ultra-small electronic devices, dense astrophysical plasmas, laser fusion plasma and in excitation of linear and nonlinear waves [1][2][3][4]. In traditional plasma the magnetohydrodynamic (MHD) fluid model is widely used to discuss wave propagation in hot and cold plasmas.…”