Acoustic modal instability in relativistic gyromagnetoactive ultra-dense quantum fluids

Abstract

The acoustic modal instability excitable in a relativistic gyromagnetoactive quantum plasma model is methodologically investigated. The proposed spherical model consists of fully degenerate relativistic electronic species, governed by an appropriate barotropic equation of state sourced in the gyrokinetic water-bag distribution. The tiny degenerate electronic species is responsible for providing the outward elastic force. The heavier relativistic singly charged ionic species provides the required inertial force for sustaining the acoustic instability mode excitation under consideration. It includes the co-action of the quantum diffraction effects, Coriolis rotation, electrostatic confinement pressure, Lorentz force fields, etc. A standard normal spherical mode analysis yields a generalized quartic linear dispersion relation dictated by a unique set of multiparametric coefficients. A numerical illustrative platform is provided to analyze the instability behaviours in two extreme regimes (ULF plus UHF). A good number of new and interesting stability properties in response to parametric variations are derived, discussed and established. It could be useful to see the acoustic wave stability features naturalistically excitable in the compact astrophysical class of bounded structures, such as brown dwarfs, white dwarfs and neutron stars.