Theoretical study of linear and nonlinear behavior of pair-ion plasma

Abstract

This paper presents a theoretical investigation of linear and nonlinear electrostatic waves in magnetized pair-ion plasma by considering magnetic fields, collisions, electron temperature gradients and neutral particles. Starting from the hydrodynamic equations of fluid, a generalized biquadratic dispersion relation is derived and used to generate an ion acoustic waves (IAW), ion plasma waves (IPW), and ion thermal waves (ITW). The formation of ion acoustic waves suggest the concentration of electron in pair ion plasma. Morever nonlinear waves dynamics are also examined through the derivation of the Korteweg–de Vries (KdV), KdV–Burgers, and nonlinear Schrödinger (NLS) equations. This analysis demonstrates the generation of nonlinear waves (solitary waves, envelope solitons, monotonic shocks, and oscillatory shock structures) depending on the balance between dispersion and dissipation effects. The influence of electron temperature gradients and collisional dissipation on wave amplitude and shock profiles are discussed for fullerene and hydrogen pair-ion plasmas using laboratory parameters. Its also determined that, the Rayleigh–Taylor instability exists non-homogeneous pair-ion plasma and obtained the possibility of growth rate of RT instability, which depends on gravity and density gradient scale length. The results are relevant to both laboratory generated pair-ion plasmas and astrophysical plasma environments.