Effect Of Dust Charge Fluctuating On Dust Mode In The Strongly Coupled Dusty Plasma

The dust charging function with quantum correction of the Orbital Motion Limited is studied with a consideration of the penetration rate of the electrons diffraction. The penetration rate of the diffraction with electrons shoot dust grains is obtained by analogical learning of the circular disk diffraction with light. The carried charge of the dusty grains is significantly decreased if the electronic De Broglie wavelength is close to the dusty grain in size.The linear dispersion relation of the dust acoustic wave(DAW) and nonlinear propagation of the dust acoustic solitary waves(DASWs) in the strongly coupled dusty plasma are studied. A fully ionized three-component model plasma containing electrons, ions, and charge fluctuating positive massive dust grains is considered. Electrons and ions are assumed to obey the Boltzmann density distribution, while the inertial dust component is described by a group of classical fluid equations. A linear dispersion DAW is obtained by considering the first-order perturbation of the electrostatic potential, and it shown that the dissipation rate of DAW is much influenced by the ion concentration parameter. The Burgers equation is obtained by using the reductive perturbation method for small amplitude solitary waves, and it shown that the DASW is much modified by the strongly couple effects of the dust grains. The basic features of the DASWs are identified. The research results may be helpful to understand the properties of localized waves in space dusty plasma.