Landau damping of dust acoustic waves in the plasma with nonextensive distribution

The Landau damping of dust acoustic waves propagating in a dusty plasma composed of nonextensive distributed electrons and ions, and Maxwellian distributed dust grains is investigated based on kinetic theory. The dust acoustic waves are found in the range of k v d ≪ ω ≪ k v i ≪ k v e , where v α is the thermal velocity of species α ( = i , e , d ) . The damping rate is shown to be dependent on the nonextensivity parameter q as well as the ratio of ion density to electron. In the limit q → 1 , the result based on the Maxwellian distribution is recovered. The maximum Landau damping rate is found to be enhanced as the population of the electron density decreases.