Propagatory dynamics of nucleus-acoustic waves excited in gyrogravitating degenerate quantum plasmas electrostatically confined in curved geometry

Abstract

A theoretic model to investigate the dynamics of the longitudinal nucleus-acoustic waves (NAWs) in gyrogravitating electrostatically confined degenerate quantum plasma (DQP) system in spherically symmetric geometry is constructed. The model setup consists of non-degenerate heavy nuclear species (HNS), lighter nuclear species (LNS), and quantum degenerate electronic species (DES). It specifically considers the influences of the Bohm potential, Coriolis rotation, viscoelasticity, and electrostatic confinement pressure (ECP, scaling quadratically in density). A standard normal spherical mode analysis gives a generalized dispersion relation (septic). It highlights the dependency of various atypical instability response on the equilibrium plasma parameters. A numerical illustrative platform portrays that the relative nuclear charge-to-mass coupling parameter ($$\beta$$ β ) acts as a destabilizing agency and the heavy-to-light nuclear charge density ratio ($$\mu$$ μ ) acts as a stabilizing agency in both the non-relativistic (NR) and ultra-relativistic (UR) limits. Another interesting conjuncture is that the Coriolis rotation introduces a destabilizing influence on the system in both the limits. The progressive analysis presented herein has correlations and consistencies in the dynamic growth backdrop of various compact astro objects and their circumvent atmospheres, such as white dwarfs, neutron stars, etc.

A hybrid GNA instability

“…ρ n and m n are the neutron material density and mass, respectively. γ = (D − 2)/(3D) is a Bohmian quantum correction prefactor for the Fermions; where D is the dimension of the system 31,34 . The reduced Planck constant signifying the step unit of (1)…”

“…In other words, the non-radial complications sourced in the polar and azimuthal angular degrees of freedom are relaxed at the cost of radial symmetry of the spherical problem. The model setup includes the effects of electrostatic potential; gravitational force (due to neutrons and nuclei); thermal pressure (for nuclei); and quantum effects (degeneracy pressure and Thomas-Fermi-based Bohm potential) 31 . Here, the tiny electrons and neutrons are treated as quantum particles as their de Broglie wavelengths ( ) have larger value relative to the interparticle separation distance (with super-populous de Broglie sphere, ) 31 .…”

“…The model setup includes the effects of electrostatic potential; gravitational force (due to neutrons and nuclei); thermal pressure (for nuclei); and quantum effects (degeneracy pressure and Thomas-Fermi-based Bohm potential) 31 . Here, the tiny electrons and neutrons are treated as quantum particles as their de Broglie wavelengths ( ) have larger value relative to the interparticle separation distance (with super-populous de Broglie sphere, ) 31 . Against this de Broglie super-criticality, the constitutive heavier nuclei are considered as classical particles.…”

“… and are the neutron material density and mass, respectively. is a Bohmian quantum correction prefactor for the Fermions; where is the dimension of the system 31 , 34 . The reduced Planck constant signifying the step unit of non-local quantum action variation is given as J s. Here, in the momentum equation (Eq.…”

Acoustic stability of a self-gravitating cylinder leading to astrostructure formation

“…It has been found that electron-acoustic waves possess breather structures, in addition to the solitary wave solutions 18 . A semi-analytic theoretic study has also been conducted to study the dynamics of the nucleus-acoustic waves, excitable in compact astroobjects in spherical geometry 19 . The influence of relativistic effects, electrostatic confinement pressure, and other realistic factors on the propagation of ion-acoustic waves has been investigated 20 .…”