Landau damping of ion‐acoustic waves with simultaneous effects of non‐extensivity and non‐thermality in the presence of hybrid Cairns‐Tsallis distributed electrons

Abstract

The dispersion properties and Landau damping rate of ion-acoustic waves (IAWs) with the hybrid Cairns-Tsallis distributed (CTD) electrons and Maxwellian ions are investigated using the plasma kinetic model based on Vlasov-Poisson's equations. For both super-extensive (q < 1) and sub-extensive (q > 1) plasmas, the dielectric response function, real frequency, and Landau damping rate of IAWs are derived. By taking the effect of θ i, e (ion-to-electron temperature ratio) into account, it is found that with the increase of ion temperature, the real frequency and wave dispersion effects increase as well (for both super-extensive and sub-extensive cases). Exploring the properties of the Landau damping rate of IAWs with the simultaneous presence of non-thermal parameter α and non-extensive parameter q, a comparison of numerical and analytical results is presented. It is found that in different ranges of θ e, i (electron-to-ion temperature ratio), on decreasing the values of the non-extensive parameter and increasing values of the non-thermal parameter, the weak damping rate is observed (vice versa) in super-extensive or super-thermal plasma, although the trend of the damping rate in sub-thermal plasma is similar (as in the case of super-thermal plasma) but is less weak. It is further revealed that the damping rate of IAWs in thermal plasmas (Maxwellian) is stronger than the damping rate of IAWs in the case of non-thermal plasmas (CTD). The current study is applicable to provide deep insight and further allow the exploration of electrostatic plasma modes in different space and laboratory plasma environments where the hybrid CTD plasma exists.

Kinetic numerical analysis of electromagnetic ion cyclotron instability in non-thermal Vasyliunas-Cairns distributed plasmas

“…It is noticed that VCDF is reducible to Maxwellian distribution function when simultaneously α = 0 and κ ⟶ ∞ [6,17,18]. The dispersion and damping/growth characteristics of numerous plasma waves and instabilities have been studied from the utilization of Vasyliunas-Cairns distribution in several natural environments such as plasma sheets and heliospheric (inner and outer heliospheric, solar wind) regimes [6,17,18,[36][37][38][39][40][41][42][43][44] . It has been observed that these non-thermal distributions for the population of non-thermal particles could include temperature anisotropy, i.e., contrasting perpendicular and parallel temperatures (T ⊥p ≠ T ∥p ) due the naturally occurring phenomena of compression and rarefaction in the large extended space plasmas [5,11,13,14,16,26,30].…”

Collective effect of nonthermal and suprathermal particles on electrostatic waves and instabilities in Vasyliunas-Cairns distributed plasmas

“…Lee and Lim used the orbital angular momentum of an electric field to incorporate this nonthermal distribution into their kinetic theory [49]. Bilal et al [50] investigated the dispersion properties and Landau damping rate of ion-acoustic waves with the hybrid Cairns-Tsallis distributed electrons and Maxwellian ions using the plasma kinetic model. In a different study, Shahzad et al [38] used the 3D Vasyliunas-Cairns distribution function for non-thermal electrons to examine the dispersion relation and damping rate of ion-acoustic waves.…”

Effects of Nonextensive Electrons on Dust–Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions

“…Its linear or nonlinear properties have long been studied in the past decades. Examples include Landau damping [ 1 , 2 ], IAW instabilities [ 3 , 4 ], solitary wave propagation [ 5 , 6 ], etc. Among the above wave phenomena, ion acoustic solitary and shock wave problems occupy an important place in studies of plasmas.…”