MATHEMATICAL MODELLING AND NUMERICAL SIMULATION OF A FULLERENCE IN A SINGLE-WALLED CARBON NANOTUBE

摘要

Carbon nanotubes (CNTs) are of great importance as potential nanomechanical devices because of their unique mechanical, electrical and thermal properties. Such devices include nano-oscillators operating at a frequency in the gigahertz range, which Qnd their applications as ultrafast optical CHters. In this paper, we present a mathematical model and a (Elite element method, based on the Arbitrary Lagrangian Eulerian approach, for studying the oscillatory behavior of a C_(60) fullerene molecule inside a C_(60)-single-walledcarbon nanotube. Using the Lennard-Jones potential and the continuum assumption, three different sizes of the nanotubes are used to examine the oscillatory motion of the C_(60) molecule.