Nucleus-acoustic solitary waves and double layers in a magnetized degenerate quantum plasma

TL;DR

This paper theoretically investigates nucleus-acoustic solitary waves and double layers in a magnetized degenerate quantum plasma, revealing how relativistic degeneracy, magnetic fields, and heavy nuclei influence their properties, with implications for astrophysical objects.

Contribution

It introduces a comprehensive analysis of NA solitary waves and double layers in a complex plasma system, incorporating relativistic effects and magnetic fields, which was not extensively studied before.

Findings

Ultra-relativistic degeneracy significantly alters wave features.

Magnetic field obliqueness affects wave amplitude and speed.

Heavy stationary nuclei modify wave characteristics.

Abstract

The properties of nucleus-acoustic (NA) solitary waves (SWs) and double layers (DLs) in a four-component magnetized degenerate quantum plasma system (containing non-degenerate inertial light nuclei, both non-relativistically and ultra-relativistically degenerate electrons and positrons, and immobile heavy nuclei) are theoretically investigated by the reductive perturbation method. The Korteweg-de Vries (K-dV), the modified K-dV (MK-dV), and the Gardner equations are derived to examine the basic features (viz. amplitude, speed, and width) of NA SWs and DLs. It is found that the effects of the ultra-relativistically degenerate electrons and positrons, stationary heavy nuclei, external magnetic field (obliqueness), etc. significantly modify the basic features of the NA SWs and DLs. The basic features and the underlying physics of NA SWs and DLs, which are relevant to some astrophysical compact objects including white dwarfs and neutron stars, are pinpointed.