Linear and nonlinear heavy ion-acoustic waves in a strongly coupled plasma

Abstract

A theoretical study on the propagation of linear and nonlinear heavy ion-acoustic (HIA) waves in an unmagnetized, collisionless, strongly coupled plasma system has been carried out. The plasma system is assumed to contain adiabatic positively charged inertial heavy ion fluids, nonextensive distributed electrons, and Maxwellian light ions. The normal mode analysis is used to study the linear behaviour. On the other hand, the well-known reductive perturbation technique is used to derive the nonlinear dynamical equations, namely, Burgers equation and Korteweg-de Vries (K-dV) equation. They are also numerically analyzed in order to investigate the basic features of shock and solitary waves. The adiabatic effects on the HIA shock and solitary waves propagating in such a strongly coupled plasma are taken into account. It has been observed that the roles of the adiabatic positively charged heavy ions, nonextensivity of electrons, and other plasma parameters arised in this investigation have significantly modified the basic features (viz., polarity, amplitude, width, etc.) of the HIA solitary/shock waves. The findings of our results obtained from this theoretical investigation may be useful in understanding the linear as well as nonlinear phenomena associated with the HIA waves both in space and laboratory plasmas.

Dust ion‐acoustic solitons with trapped q‐non‐extensive electrons, dissipative processes, and streaming ions

“…As streaming provides extra energy to the system, the soliton receives more energy and moves to a higher supersonic regime. Such consequences are demonstrated exactly for nonlinear heavy IA waves in a strongly coupled plasma in planar [39] and non-planar [40] geometry. This demonstrates that, in the presence of fixed values of non-extensivity and ion streaming, the Mach number is decreasing with trapping probability.…”

“…The enhancing values of q decrease the superthermality factor and therefore minify the electron energy, and in order to conserve the energy, the energy of ions increases, accordingly increasing the DIA soliton energy. Such consequences are demonstrated exactly for nonlinear heavy IA waves in a strongly coupled plasma in planar [39] and non-planar [40] geometry.…”

Propagation of shock structures in a high density plasma

“…It is important to not that the dissipation term only depends on the electron kinematic viscosity η. The shock profile is nothing but sudden increase or decrease of the permanent profile of the waves [75][76][77][78]. It is observed that EA waves are significantly modified when cold electron being non-relativistic degenerate (α = 5 3 ) and hot electron being ultra-relativistic degenerate (γ = 4 3 ) than both cold and hot electron being non-relativistic degenerate (α = γ = 5…”

Multi‐dimensional instability of electrostatic solitary waves in a warm multi‐ion dust plasma

“…[ 3 ] Experimental studies of ion‐acoustic waves (IAWs) in negative‐ion plasmas were reported by Song et al [ 4 ] and Wong et al [ 5 ] Linear and nonlinear properties of IAWs have been widely investigated theoretically by authors. [ 6–13 ] In the presence of dust impurities in the ordinary plasma, IAWs lead to the so‐called dust‐ion acoustic waves (DIAWs). [ 14 ] The propagation of DIAWs in an inhomogeneous dusty plasma was shown.…”