Propagation dynamics of dust acoustic modes in collisional multicomponent plasmas

A comprehensive understanding of the physics underlying the dust-based processes and the ability to control the evolution of structures are essential in the field of plasma physics. This knowledge provides the foundation for numerous advanced scientific applications including the study of celestial objects and the synthesis of nanostructures. In this research, we consider the linear propagation of dust acoustic (DA) and dust ion acoustic (DIA) modes in a collisional plasma in the presence of an electron beam. The obtained dispersion relation demonstrates that the collision parameter and the electron beam density have significant contributions to the mode dynamics. The interactions of cold charged particles with neutrals result in a damping effect in the mode dynamics, which subsequently leads to a typical cutoff in the propagation of dust acoustic modes. Furthermore, the electron beam density can control the damping rate at different conditions. An increase in the electron beam density results in an acceleration of the DA mode damping, while the effect on the DIA mode is the opposite. The influence of the electron beam on the dynamics of the modes is more pronounced in the presence of strong collisions. Our analysis also shows that the propagation dynamics of each mode is strongly related to the wave vector. The damping rate is more pronounced in small wave vectors. Numerical analysis indicates that mode propagation can be controlled by the collision parameters and electron beam density. Furthermore, as a general trend, increasing the wave vector causes a shift in the cutoff toward higher collisions.