Relativistic ion-acoustic waves in electrospherically confined gyromagnetoactive quantum plasmas

Abstract

We propose a relativistic quantum plasma model to analyze the ion-acoustic (IA) wave mode stability in gyromagnetoactive spherical electron-ion plasma in a quantum hydrodynamic fabric. It co-includes the Coriolis rotation force, electrostatic confinement pressure, Bohm potential, etc. The restoring force is sourced in the relativistically degenerate electronic species (water-bag-distributed). The heavier relativistic ionic species provide the required inertial force. A standard spherical mode analysis yields a unique form of generalized linear dispersion relation (quartic in the degree of frequency, Ω) with atypical coefficients on the wavenumber, k*. A numerical illustrative platform depicts the exact IA-growth behaviours in the realistic astronomic parametric windows. It shows that the Coriolis rotation and magnetic field act as an IA-growth booster, and, hence, as destabilizing agencies, followed by a unique pattern of zero growth-bouncing point (ZGP) in the k*-space. As the rotation increases, the ZGP shifts towards the low-k*regime. Interestingly, when the magnetic field gets enhanced, the ZGP shifts towards the higher-k*side, contrary to the rotation-case. As it goes denser, the IA-growth first increases in the lowermost-k* regime. It undergoes a unique type of phase reversal behavior, with the ZGP shifting towards the lower-k* regime, followed by another new phase reversal feature. It is further noticed that, unlike the unipolar destabilizing role throughout played by the rotation, the magnetic field strength and plasma concentration act both as stabilizing and destabilizing agencies depending on the k*-windows. The atypical growth features are further justifiably confirmed in the colourspectral fabric in light of the existing illustrative reports. The focal implications and applications of the analysis presented here are finally actualized to understand the stability features of the extreme degenerate states of compact astroobjects rich in varied acoustic modal degrees of freedom, such as brown dwarfs, white dwarfs, neutron stars, etc.