Chaotic signature in the motion of coupled carbon nanotube oscillators

The motion of coupled oscillators based on multiwalled carbon nanotubes is studied using rigid-body dynamics simulations. The results show the existence of chaotic and regular behaviours for a given total energy, indicating the manifestation of chaos in nanoscaled mechanical systems based on carbon nanotube oscillators. Different regular motions are observed for different total energies, and they can be obtained by appropriately choosing the initial conditions. This possibility can allow the construction of multi-functional nano-devices based on multiwalled carbon nanotube oscillators.

[1]  S. Iijima Helical microtubules of graphitic carbon , 1991, Nature.

[2]  R. Jensen Effects of Classical Resonances on the Chaotic Microwave Ionization of Highly Excited Hydrogen Atoms , 1987 .

[3]  GuanHua Chen,et al.  Energy dissipation mechanisms in carbon nanotube oscillators. , 2003, Physical review letters.

[4]  I. Percival,et al.  Regular and chaotic motion in some quartic potentials , 1984 .

[5]  Abel Rousset,et al.  High specific surface area carbon nanotubes from catalytic chemical vapor deposition process , 2000 .

[6]  P. Nordlander,et al.  Unraveling Nanotubes: Field Emission from an Atomic Wire , 1995, Science.

[7]  Quanshui Zheng,et al.  Excess van der Waals interaction energy of a multiwalled carbon nanotube with an extruded core and the induced core oscillation , 2002 .

[8]  W. D. de Heer,et al.  Carbon Nanotubes--the Route Toward Applications , 2002, Science.

[9]  R. Jensen Stochastic Ionization of Surface-State Electrons , 1982 .

[10]  Ho Jung Hwang,et al.  Gigahertz actuator of multiwall carbon nanotube encapsulating metallic ions: molecular dynamics simulations , 2004 .

[11]  Quanshui Zheng,et al.  Multiwalled carbon nanotubes as gigahertz oscillators. , 2002, Physical review letters.

[12]  Zettl,et al.  Low-friction nanoscale linear bearing realized from multiwall carbon nanotubes , 2000, Science.

[13]  H. Yoshida Construction of higher order symplectic integrators , 1990 .

[14]  Huajian Gao,et al.  Energy dissipation in gigahertz oscillators from multiwalled carbon nanotubes. , 2003, Physical review letters.

[15]  Jorge V. José,et al.  Chaos in classical and quantum mechanics , 1990 .

[16]  Douglas S. Galvao,et al.  Gigahertz nanomechanical oscillators based on carbon nanotubes , 2004 .

[17]  Chaos in a relativistic 3-body self-gravitating system. , 2002, Physical review letters.

[18]  J. M. Robbins,et al.  Chaotic classical and half-classical adiabatic reactions: geometric magnetism and deterministic friction , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[19]  Ho Jung Hwang,et al.  Nanoscale carbon nanotube motor schematics and simulations for micro-electro-mechanical machines , 2004 .

[20]  Peter T. Cummings,et al.  Oscillatory Behavior of Double-Walled Nanotubes under Extension: A Simple Nanoscale Damped Spring , 2003 .

[21]  Bobby G. Sumpter,et al.  Application of rigid-body dynamics and semiclassical mechanics to molecular bearings , 1997 .

[22]  R. Jensen Stochastic ionization of surface-state electrons: Classical theory , 1984 .

[23]  S. Sinnott,et al.  Carbon Nanotubes: Synthesis, Properties, and Applications , 2001 .

[24]  P. Cummings,et al.  The oscillatory damped behaviour of incommensurate double-walled carbon nanotubes , 2005, Nanotechnology.

[25]  H. Dai,et al.  Individual single-wall carbon nanotubes as quantum wires , 1997, Nature.

[26]  R. Ruth,et al.  Fourth-order symplectic integration , 1990 .

[27]  Paul Tangney,et al.  Dynamic sliding friction between concentric carbon nanotubes. , 2004, Physical review letters.

[28]  D. Galvão,et al.  Molecular Dynamics Simulations of Carbon Nanotubes as Gigahertz Oscillators , 2002, Physical review letters.