Investigation of Rayleigh–Taylor instability and internal waves in strongly coupled rotating magnetized quantum plasma

Abstract

The Rayleigh–Taylor instability (RTI) with internal waves in incompressible, dense, degenerate strongly coupled quantum plasma (SCQP), has been investigated with the effect of variable magnetic field and uniform rotation. In this problem, we have considered plasma in incompressible limits with strong coupling effect. We have taken the quantum hydrodynamic model (QHD) in weakly coupled degenerate electrons and strongly coupled non-degenerate ions. The dispersion relation for the Rayleigh–Taylor instability with internal waves in a rotating, magnetized plasma is derived and analysed by using the normal mode analysis method and then linearize the fluid equations to discuss growth rate of the system under appropriate boundary. It is observed that the magnetic field, quantum effect and strong coupling effect play a significant role to suppress the RTI in the system. Hence, the combined effect of magnetic field and quantum correction are significant to analyze the unstable RT modes. The relevance of such results is useful to suppress the RTI in a dense astrophysical system like in white dwarf stars and in ICF targets, etc.