Ion-acoustic solitary pulses in a dense plasma

TL;DR

This paper theoretically investigates ion-acoustic solitary waves in dense, magnetized quantum plasmas with degenerate electrons and ions, revealing how various parameters influence wave properties relevant to astrophysical environments.

Contribution

It derives and analyzes KdV and mKdV equations for IASWs in dense quantum plasmas, incorporating relativistic degeneracy and magnetic effects, which is novel for astrophysical plasma modeling.

Findings

Obliqueness affects wave amplitude and width.

Degeneracy and density parameters significantly modify solitary wave properties.

Magnetic field influences the width of the solitary waves.

Abstract

The propagation of ion-acoustic solitary waves (IASWs) in a magnetized, collisionless degenerate plasma system for describing collective plasma oscillations in dense quantum plasmas with relativistically degenerate electrons, oppositely charged inertial ions, and positively charged immobile heavy elements is investigated theoretically. The perturbations of the magnetized quantum plasma are studied employing the reductive perturbation technique to derive the Korteweg-de Vries (K-dV) and the modified K-dV (mK-dV) equations that admits solitary wave solutions. Chandrasekhar limits are used to investigate the degeneracy effects of interstellar compact objects through equation of state for degenerate electrons in case of non-relativistic and ultra-relativistic cases. The basic properties of small but finite-amplitude IASWs are modified significantly by the combined effects of the degenerate electron number density, pair ion number density, static heavy element number density and magnetic field. It is found that the obliqueness affects both the amplitude and width of the solitary waves, whereas the other parameters mainly influence the width of the solitons. The results presented in this paper can be useful for future investigations of astrophysical multi-ion plasmas.