Abstract
This study deals with the dispersion of longitudinal waves in a single-walled armchaircarbon nanotube, focusing on the effect of the microstructure of the carbon nanotube onthe wave dispersion. To reveal the effect analytically, the carbon nanotube is modelled as anon-local elastic cylindrical shell in the study. The dynamic equation of the non-localelastic cylindrical shell is established and the corresponding dispersion relation oflongitudinal waves is derived. These analytic results are verified via molecular dynamicssimulations, based on the Terroff–Brenner potential, for the propagation of variouslongitudinal waves in three single-walled armchair carbon nanotubes. The moleculardynamics simulations indicate that the longitudinal wave dispersion predicted by the modelof the non-local elastic cylindrical shell shows a good agreement with that ofmolecular dynamics simulations in a wide frequency range up to the terahertz region.They also show that both the microstructure of the carbon nanotube and thecoupling between the longitudinal wave and the radial motion play an importantrole in the dispersion of longitudinal waves in a single-walled armchair carbonnanotube.
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