Abstract

Carbon nanostructures provide a possible new basis for the creation of many nanodevices due to their outstanding properties such as high strength, high flexibility and low weight. One application which has attracted much consideration is as nanooscillators, which are believed to generate frequencies in the gigahertz range, and may form the basis of possible devices in the computer industry. Doublewalled carbon nanotube oscillators have been widely studied using both molecular dynamics simulations and experiments, but conventional applied mathematical modeling techniques are generally lacking. This study focuses on determining analytical expressions for doublewalled carbon nanotube oscillators, which produce high frequency due to the inner tube oscillation. The LennardJones potential function together with the usual continuum approach is utilized to evaluate the potential energy, the van der Waals force for this system and determine the preferred position of an offset inner tube with reference to the crosssection of the outer tube axis. On assuming that the inner tube oscillates coaxially within the outer tube in the axial direction, we obtain the force distributions which induce oscillatory behaviour in the double walled carbon nanotube. On neglecting friction, Newton's second law is employed to predict the oscillation frequency, which is shown to be in the order of 1 to 80 gigahertz. These results are based on recent work by the present authors.