Dispersion relation of dust acoustic waves in metallic multi-walled carbon nanotubes

In this paper, a charged multi-walled carbon nanotube (MWCNT), which is surrounded by charged nanoparticles, is modeled as a cylindrical shell of electron--ion--dust plasma. By employing classical electrodynamics formulations and the linearized hydrodynamic model, the dispersion relation of the dust acoustic wave oscillations in the composed system is investigated. We obtain a new low-frequency electrostatic excitation in the MWCNT, i.e. dust acoustic wave oscillations.