Electrostatic rogue waves in double pair plasmas

TL;DR

This paper derives a nonlinear Schrödinger equation to study modulational instability of ion-acoustic waves in double pair plasmas, revealing conditions for rogue wave formation relevant to astrophysical and laboratory plasma environments.

Contribution

The study introduces a new analytical framework for understanding rogue wave generation in double pair plasmas with super-thermal particles, highlighting the roles of negative ions and positrons.

Findings

Identification of fast and slow ion-acoustic modes.

Conditions for modulational stability and instability.

Role of negative ions and positrons in rogue wave formation.

Abstract

A nonlinear Schr\"{o}dinger equation is derived to investigate the modulational instability (MI) of ion-acoustic (IA) waves (IAWs) in a double pair plasma system containing adiabatic positive and negative ion fluids along with super-thermal electrons and positrons. The analytical analysis predicts two types of modes, viz. fast ($\omega_f$) and slow ($\omega_s$) IA modes. The possible stable and unstable parametric regions for the IAWs in presence of external perturbation can be observed for both $\omega_f$ and $\omega_s$. The number density of the negative ions and positrons play a vital role in generating the IA rogue waves (IARWs) in the modulationally unstable region. The applications of our present work in astrophysical environments [viz. D-region ($\rm H^+, O_2^-$) and F-region ($\rm H^+, H^-$) of the Earth's ionosphere] as well as in laboratory plasmas [viz. pair-ion Fullerene ($\rm C^+, C^-$)] are pinpointed.