Influence of dust grains charging on dust acoustic waves in quantum dusty plasmas

Based on the self-consistent system of the quantum hydrodynamic equations and dust grains charging equation for electron-ion-dust plasmas, and taking into account the quantum effects of the electrons and ions, we studied the influences of dust grains charging on dust acoustic waves in the quantum dusty plasmas. To derive and study a dispersion relation for a dust mode we applied the linear theory analysis method and used numerical simulation. It is found that the dispersion characteristics of dust acoustic waves are qualitatively modified by the charging effect, leading to the dissipation of dust acoustic waves. The dissipation strength mainly depends on the dust plasma parameters. Finally, the physical cause of the dissipation is analyzed.