Kinetic approach on the DIA wave propagation in a non-extensive distributed dusty plasma

The Landau damping of the dust ion-acoustic wave (DIAW) in a dusty plasma with non-extensive distributed components is analysed relying on the kinetic approach. The electron, ion, and dust particles are effectively modelled by the non-extensive distribution function of the Tsallis statistics. For a collisionless plasma with different values of plasma components indices, the general dispersion relation is achieved, and the non-extensivity effects on the frequency, as well as the Landau damping of the DIAW, are studied. We show that for q -> 1, the preliminary results of the Maxwellian plasma are obtained. The decrease of wave damping is achieved by increasing the coefficient q index and the ion-to-electron density ratio. The damping rate also increases with an increasing ion-to-electron temperature ratio.

Automated summary

This study analyzes the Landau damping of the dust ion-acoustic wave in a dusty plasma with non-extensive distributed components using a kinetic approach. By varying the plasma components indices, the effects of non-extensivity on the frequency and Landau damping of the DIAW are studied. Results show that the wave damping decreases by increasing the coefficient q index and the ion-to-electron density ratio, while the damping rate increases with an increasing ion-to-electron temperature ratio.