Nonthermal Distribution of Electro-negative Light-ions in Heavy-ion-acoustic Solitary and Shock Structures

Abstract

An attempt has been taken to study the nonlinear propagation of electro-positive heavy ion-acoustic (EPHIA) solitary and shock waves in multi-component plasmas containing mobile electro-positive heavy ions (EPHIs), nonthermal distributed electro-negative light ions (ENLIs) and Maxwellian electrons. The effects of temperature, mobile EPHIs, ENLIs and its nonthermality on solitary and shock waves are investigated in present work. To do so, we have derived the standard Korteweg-de Vries (K-dV) and Burger equations and their solutions. We have studied the effects of the parametric regimes, which affect the solitary and shock waves, numerically as well as graphically.4. Below (above) the critical value of ENLIs concentration the solitary and shock waves are associated with positive (negative) potentials. And also negative (positive) potentials are found below (above) the critical value of the nonthermal parameter (α). 5. Maxwellian electrons concentration makes the lower amplitude solitary and shock waves. 6. The width of solitary structures decreases with increasing α, σ p , µ n and µ e ; i.e. the solitary waves will be spiky for the higher values of these. 7. The width of the shock waves is a linear function of the viscus coefficient, i.e. spiky profile of the shock waves are found for the lower value of the viscus coefficient.We hope that our present investigations may be helpful to understand the effect of heavy ion on EPHIA solitary and shock waves in multi-component electron-ion plasmas in laboratory and astrophysical system like radio wave propagation in the ionosphere [12] and also give a guideline to further development in the relevant field.

Electrostatic Shock Structures in a Magnetized Plasma Having Non-Thermal Particles

“…The non-thermal plasma species are regularly seen in the cometary comae [2], Earth's ionosphere [4], the upper region of the Titans [3], etc. Haider et al [27] investigated the IA solitary waves in the presence of non-thermal particles, and observed that the width of the solitary profile decreases with increasing of ions' non-thermality. Pakzad and Javidan [28] studied the dustacoustic (DA) solitary and shock waves in a dusty plasma having non-thermal ions, and reported that the amplitude of the wave increases with the decrease of the non-thermality of ions.…”