Dispersion relation of dust acoustic wave in multi-wall fullerene studied by the quantum hydrodynamic model

In this letter, dispersion properties of low-frequency electrostatic waves in multi-wall fullerene (the first layer is C₆₀molecule) are investigated. It is assumed that multi-wall fullerene is charged due to the field emission, and hence the multi-wall fullerene can be regarded as charged dust spheres surrounded by degenerate electrons and ions. We obtain the dispersion relation for the low-frequency electrostatic oscillations in the multi-wall fullerene by using the quantum hydrodynamic model in conjunction with the Poisson equation.