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

Abstract

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mo stretchy="false">(</mml:mo> <mml:mi>k</mml:mi> <mml:msub> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>e</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:msub> <mml:mo stretchy="false">)</mml:mo> <mml:mo>,</mml:mo> </mml:math> dust concentration (Λ), and the simultaneous effects of non-extensivity q and non-thermality α , for both super-extensive ( q &lt; 1) and sub-extensive ( q &gt; 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 &lt; 1 and q &gt; 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 &lt; 1 and q &gt; 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.