Kinetic Theory of Dust–Ion-Acoustic Waves in Hybrid Nonthermal Vasyliunas–Cairns Distributed Plasmas

In plasma kinetic theory, the Poisson–Vlasov model is incorporated to investigate the dispersion and damping rates of the dust-ion-acoustic waves (DIAWs) in hybrid, nonthermal, dusty plasmas. The longitudinal dielectric response function for DIAW in nonthermal dusty plasma having positively or negatively charged dust particles is obtained. In this way, more energetic particles (electrons) are modeled through nonthermal Vasyliunas–Cairns distributions while the ions and dust particles are kept Maxwellian. The effect of several parameters, such as electron-to-ion temperature ratio, dust concentration, and nonthermality parameters such as
$\alpha $
and
$\kappa $
, are simultaneously investigated on the dispersion and damping rate of DIAWs. It is observed that both the real and imaginary frequencies of DIAWs are significantly influenced by the simultaneous presence of both nonthermality parameters. It is found that the presence of nonthermality parameters enhances DIAW wave frequency in positively or negatively dust charged case, whereas the Landau damping rate of the wave significantly decreases. The numerical plots are presented for illustration. This work is highly pertinent to the comprehensive picture of plasma mode analysis in nonthermal dusty plasmas.