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 and 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 dust concentration (Λ), and the simultaneous effects of non-extensivity q and 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.