Universal characteristics of ion-acoustic wave dynamics in magnetized plasmas with emphasis on Tsallis distribution

TL;DR

This paper investigates universal features of ion-acoustic wave behavior in magnetized plasmas with various particle distributions, revealing how wave properties depend on angles and plasma parameters, applicable to laboratory and astrophysical contexts.

Contribution

It demonstrates that ion-acoustic wave features such as amplitude and phase shifts are consistent across different plasma distributions, highlighting the role of angles and parameters in wave dynamics.

Findings

Soliton amplitude is independent of magnetic field strength.

Existence of compressive and rarefactive solitons depending on critical angles.

Maximum soliton width occurs at a specific propagation angle relative to magnetic field.

Abstract

Using the extended Poincar\'{e}-Lighthill-Kuo (PLK) reductive perturbation method, which incorporates the phase-shift variations, it is shown that common features on propagation and head-on collisions of ion-acoustic waves exist for a magnetized plasmas of different inertial-less particle distributions. For instance it is remarked that, the soliton amplitude is always independent of magnetic field strength while strictly depends on its angle regarding the propagation direction. Both types of solitons (compressive or rarefactive) are shown to exist which are defined through the critical angle $\gamma=\pi/2$ or other critical values depending on plasma fractional parameters. These critical plasma parameter values also define the sign of head-on collision phase shift. Furthermore, it is proved that for a given set of plasma parameters there is always a relative angle of propagation regarding to that of the magnetic-field for which the soliton width is maximum. Current findings applies to a wide range of magnetized plasmas including those containing background dust ingredients or two-temperature inertial-less particles and may be used to study laboratory or astrophysical magnetoplasmas.