Investigation of dust ion-acoustic wave dispersion properties in the dusty plasma with q-distribution

Using kinetic theory, the dispersion properties of dust ion-acoustic (DIA) wave propagation in the dusty plasma including electrons, ions, and dust particles are investigated. We obtain the dispersion relation of the DIA wave in the plasma with q-distribution. In the limit q → 1, the results are in agreement with Maxwellian distribution results. The wave frequency decreases as the nonextensive index q increases, particularly for the high magnitude of the q index. The phase velocity of the wave is achieved for short and long wavelengths. The wave frequency enhances by increasing the ion to electron density ratio.