Head-on collision of two ion-acoustic solitons in pair-ion plasmas with nonthermal electrons featuring Tsallis distribution

Abstract

The head-on collision between two ion-acoustic solitons (IASs) is studied in pair ions plasmas with hybrid Cairns–Tsallis-distributed electrons. The chosen model is inspired from the experimental studies of Ichiki et al. [Phys. Plasmas 8, 4275 (2001)]. The extended Poincaré–Lighthill–Kuo (PLK) method is employed to obtain the phase shift due to the IASs collision. Both analytical and numerical results reveal that the magnitude of the phase shift is significantly affected by the nonthermal and nonextensive parameters (α and q), the number density ratios (μ and υ) as well as the mass ratio σ. For a given mass ratio σ ≃ 0.27 $\sigma \simeq 0.27$ (Ar+, SF 6 − ${\text{SF}}_{6}^{-}$ ), the magnitude of the phase shift Δ Q ( 0 ) ${\Delta}{Q}^{\left(0\right)}$ decreases slightly (increases) with the increase of q (α). The effect of α on Δ Q ( 0 ) ${\Delta}{Q}^{\left(0\right)}$ is more noticeable in the superextensive distribution case (q < 1). As σ increases [ σ ≃ 0.89 $\sigma \simeq 0.89$ (Xe+, SF 6 − ${\text{SF}}_{6}^{-}$ )], the phase shift becomes wider. In other terms, the phase shift was found to be larger under the effect of higher densities of the negative ions. Our findings should be useful for understanding the dynamics of IA solitons’ head-on collision in space environments [namely, D-regions ( H + ${\text{H}}^{+}$ , O 2 − ${\text{O}}_{2}^{-}$ ) and F-regions (H+, H−) of the Earth’s ionosphere] and in laboratory double pair plasmas [namely, fullerene (C+, C−) and laboratory experiment (Ar+, F−)].

An unmagnetized strongly coupled plasma: heavy ion acoustic shock wave excitations

“…The main advantage of the above equation is that it is not only supported HIASWs very near to the CVs but also at CVs. It is noted that no research work has previously been done on the SWEs very near to CVs or at CVs by the properly defined solution of mmBE, like equation (34). The solution…”

“…But, he has also been failed to address properly the reference speed and width of the shock wave excitations. To examine properly the basic feature of shocks around CVs or at CVs, one needs to define firstly the appropriate solution of equation (34). To do so, one can transform equation (34) by considering…”

“…Hence, the appropriate stationary shock wave solution of equation (34) with the help of equation ( 36) can be defined as…”

“…They have also mentioned that nonthermality and nonextensivity may act concurrently on the nature (rarefactive or compressive) of the IA structures. Latter, the proper ranges of the nonextensive and nonthermal parameters are defined in [31][32][33][34] subject to the physical cutoff imposed by the monotonicity conditions q 5/7 and ( ) a = q 2 1 4 max for nonthermal-nonextensive case. Hence, one can use the (α, q)-velocity distribution to examine the physical issues observed in many SAEs by considering the appropriate ranges of α and q, that is, for (i) isothermal (q → 1 and α = 0), (ii) superthermal (α = 0, 0.33 < q < 1) and (iii) subthermal (α = 0, q > 1) but also (iv) nonthermal (q → 1 and 0 < α < 0.25) lighter plasma particles [31][32][33][34].…”

Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

“…[37][38][39][40][41][42][43][44][45] Particularly in plasma physics, several works have been dedicated to the effect of the nonextensivity of particles on the various nonlinear phenomena inherent to the nonlinear dynamics of acoustic waves in plasmas. [10,[46][47][48][49][50][51][52][53] It has been found that the presence of nonextensive populations in plasma media plays an important role and affects the conditions required for the formation and existence of a variety of nonlinear waves.…”