Volume 126, Number 1, April 2019
|Number of page(s)
|20 May 2019
Nonlinear nucleus-acoustic waves in strongly coupled degenerate quantum plasmas
Department of Physics, Tezpur University - Napaam-784028, Tezpur, Assam, India
Received: 10 October 2018
Accepted: 2 April 2019
We report the evolutionary dynamics of nonlinear nucleus-acoustic wave patterns excitable in a strongly coupled self-gravitating complex quantum degenerate plasma (QDP) systems. It is inertially composed of strongly correlated non-degenerate heavy nuclei and weakly coupled degenerate light nuclei treated classically. It is thermally constituted of non-relativistic and ultra-relativistic degenerate lighter electrons behaving quantum mechanically. Application of nonlinear perturbation analysis results in a conjugated pair of extended Korteweg-de Vries (e-KdV) equations of unique mathematical shape. The constructed numerical tapestry shows the collective excitations of a new conjugational pair of nonlinear eigenmode structures of gravito-electrosatic origin. The electrostatic potential fluctuations evolve as a distinct family of stable periodic symmetric waves resembling regular soliton-antisoliton pulse-trains; in contrast, the gravitational counterparts evolve as a unique extended class of asymmetric oscillatory solitons and non-monotonous compressive dispersive asymmetric pulse-trains. The microphysical influential dependencies of the eigenstructural patterns on various sensible plasma multi-parametric factors are illustratively analyzed in both the non-relativistic (NR) and ultra-relativistic (UR) limits of the non-local quantum electronic dynamics. The applicability of the explored results in wave kinetic phenomenological processes naturalistically relevant in diversified compact astro-objects and their ambient hydrodynamic atmospheres is summarily outlined.
PACS: 05.30.Fk – Fermion systems and electron gas / 95.30.Lz – Hydrodynamics / 97.20.Rp – Faint blue stars (including blue stragglers), white dwarfs, degenerate stars, nuclei of planetary nebulae
© EPLA, 2019
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