Kinetic theory of dust ion-acoustic waves in the presence of hybrid Cairns-Tsallis distributed electrons

Abstract

On the basis of well-known kinetic theory, the dispersion properties and Landau damping rate of dust ion-acoustic waves (DIAWs), with hybrid non-thermal Cairns-Tsallis distributed (CTD) electrons, Maxwellian distributed ions and static charged dust particles (positively & negatively), in non-thermal dusty plasmas are investigated. The novel features of normalized real frequency (ω_{r}/ω_{pi}) and damping rate (γ/ω_{pi}) of DIAWs are introduced with the incorporation of different physical parameters, such as electron-to-ion temperature ratio (θ_{e,i}), normalized wave number (kλ_{D_{e}}), dust concentration (Λ), and the simultaneous effects of non-extensivity q & non-thermality α, for both super-extensive (q<1) and sub-extensive (q>1) cases. It is found that these parameters influence the dispersion relation and damping rate along with the presence of positively and negatively charged dust. The coexistence of α and q reveals that the phase velocity of DIAWs increases by increasing the value of non-thermality and decreasing the value of non-extensivity parameters for both q<1 and q>1 cases. On the other hand, the reverse trend is observed for the Landau damping rate i.e., DIAWs exhibits weak damping by increasing the value of (α) and decreasing the value (q) in both super-extensive and sub-extensive plasmas. A comparison of dispersion properties and damping rate in both q<1 and q>1 cases is also highlighted. The present findings also compared with the limiting cases i.e. Cairns, q-nonextensive and Maxwellian distributions. This study is effectively applicable for such space and laboratory environments where the non-thermal dusty plasma exists.

Linear analysis of whistler mode instability in anisotropic q-nonextensive distributed plasmas: a numerical approach

“…Furthermore, the well-known Maxwellian distribution function is retrieved for the limit q → 1. Widely known, the q-nonextensive distribution with entropic index q < 1 is the more probable distribution to model the space plasma systems with highly energetic particles, while the q-nonextensive distribution with q > 1 suitably describes the plasmas which comprise a large number of subthermal particles [23,47]. Figures 1(a) & (b) represent the 3D plots of superextensive q-DF or q-nonextensive distribution function with q < 1 (comprising the high energy tail; an evidence of excess of superthermal particles), for two different cases: one is the isotropic case (figure 1 , implying that the temperature of perpendicular moving particles is greater than the temperature of parallel propagating particles (T…”

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].…”