Self‐gravito‐acoustic waves and their instabilities in a self‐gravitating degenerate quantum plasma system

Abstract

A self-gravitating degenerate quantum plasma (SGDQP) system containing degenerate electron and light nucleus species along with extremely low-dense heavy-nucleus species is considered. The existence of new degenerate pressure-driven self-gravito-acoustic (DPDSGA) waves in this SGDQP system is found, and their dispersion properties along with stable and unstable parametric regimes are identified. The DPDSGA waves emit from this SGDQP system due to the compression and rarefaction (and vice-versa) of the perturbed state of it. Its compression is due to the inward poll of degenerate electron and light nucleus species by the self-gravitational attractive pressures, whereas its rarefaction is due to the outward degenerate pressures exerted by the degenerate electron and light nucleus species. The DPDSGA waves are new because they completely disappear if the electron and light nucleus degeneracies are neglected. The DPDSGA waves exist in the SGDQP system that occurs in astrophysical compact objects like white dwarfs [H. M. Van Horn, Science 252, 384 (1991); D. Koester, Astron. Astrophys. Rev. 11, 33 (2002)]. K E Y W O R D Sdegenerate quantum plasmas, self-gravitational instabilities, self-gravito-acoustic waves

Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma

“…Our present investigation is valid for white dwarfs and neutron stars in which both non-relativistic positively charged heavy ions (e.g., 56 26 Fe [4], 85 37 Rb [5], 96 42 Mo [5]), and light ions (e.g., 1 1 H [6,7], 4 2 He [8], 12 6 C [9,10]), and ultra-relativistically degenerate electrons exist. For numerical analysis, we considered Z 1 = 20 ∼ 60, Z 2 = 1 ∼ 12, n 10 = 1 × 10 29 cm −3 ∼ 9 × 10 29 cm −3 , n 20 = 2 × 10 30 cm −3 ∼ 8 × 10 30 cm −3 , and n e 0 = 10 32 cm −3 ∼ 10 34 cm −3 .…”

“…The research regarding the propagation of nonlinear electrostatic excitations in a degenerate quantum plasma system (DQPS) has received a substantial attention from plasma physicists due to its ubiquitous existence in white dwarfs [1][2][3] and neutron stars [1][2][3]. It is believed that the components of the DQPS are electrons, positively charged heavy ions (e.g., 56 26 Fe [4], 85 37 Rb [5], 96 42 Mo [5]), and positively charged light ions (e.g., 1 1 H [6,7], 4 2 He [8], 12 6 C [9,10]). A number of authors investigated nonlinear waves in DQPS with positively charged heavy and light ions and electrons [11][12][13][14].…”

“…It is believed that the components of the DQPS are electrons, positively charged heavy ions (e.g., 56 26 Fe [4], 85 37 Rb [5], 96 42 Mo [5]), and positively charged light ions (e.g., 1 1 H [6,7], 4 2 He [8], 12 6 C [9,10]). A number of authors investigated nonlinear waves in DQPS with positively charged heavy and light ions and electrons [11][12][13][14]. The characteristics of DQPS are comprehensively governed by the number density of the plasma species of DQPS, and it has been observed that the electron number density in white dwarfs is in the order of 10 30 cm −3 to 10 39 cm −3 , and even more in neutron stars [9,10].…”

Magnetized ion-acoustic shock waves in degenerate quantum plasma

“…Our present investigation is valid for white dwarfs and neutron stars in which both non-relativistic positively charged heavy ions (e.g., 56 26 Fe [4], 85 37 Rb [5], 96 42 Mo [5]), and light ions (e.g., 1 1 H [6, 7], 4 2 He [8], 12 6 C [9, 10]), and ultra-relativistically degenerate electrons are exist. For numerical analysis, we have considered Z 1 = 20 ∼ 60, Z 2 = 1 ∼ 12, n 10 = 1 × 10 29 cm −3 ∼ 9 × 10 29 cm −3 , n 20 = 2 × 10 30 cm −3 ∼ 8 × 10 30 cm −3 , and n e 0 = 10 32 cm −3 ∼ 10 34 cm −3 .…”

“…2 He [8], 12 6 C [9,10]). A number of authors investigated nonlinear waves in DQPS having positively charged heavy and light ions, and electrons [11,12,13,14].…”