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The propagation of ionic perturbations in a dusty plasma is consideredthrough a three-species kinetic simulation approach, in which the temporalevolution of all three elements i.e. electrons, ions and dust particles arefollowed based on the Vlasov equation coupled with the Poisson equation. Twocases are focused upon: firstly a fully electron depleted dusty plasma, i.e., aplasma consisting of ions and dust-particles. The second case includes dustyplasmas with large electron-to-ion temperature ratios. The main features of theionic waves in these two settings including the dispersion relation and theLandau damping rate are studied. It is shown that the dispersion relation ofthe ionic waves perfectly matches the dispersion relation of Langmuir waves andhence are called Langmuir-like ionic waves and can be considered asion-Langmuir waves. These waves can be theoretically predicted by thedispersion relation of the dust-ion-acoustic waves. The transition of ionicwaves from dust-ion-acoustic to Langmuir-like waves are shown to besharp/smooth in first/second case. The Landau damping rates based on simulationresults are presented and compared with theoretical predictions whereverpossible.

Kinetic-simulation study of propagation of Langmuir-like ionic waves in dusty plasma