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Title: Electrostatic waves in carbon nanotubes with an axial magnetic field

Based on a linearized hydrodynamic model and within the quasi-static approximation, the dispersion relation of electrostatic waves propagating through single-walled carbon nanotubes subject to an axial magnetic field is theoretically explored. In the classical limit, we obtain two main possible waves which in turn are divided into two branches, a low-frequency acoustical and a high-frequency optical plasmon branch. In the quantum case, we have found that the dispersion relation is substantially modified when the electron wavelength becomes large enough compared to the propagation wavelength of the electrostatic waves in the quantum plasma. We also show that the axial magnetic field manifest itself on the perturbed electron density through the quantum term and gives rise to the propagation of the electrostatic waves within the quantum plasma. As a result, the effect of the magnetic field is pronounced in the plasma dispersion relations in such a way that their curves approach to zero when the magnetic field is weak; and for the strong magnetic field, they asymptotically meet the constant lines.
Authors:
 [1] ;  [2]
  1. Department of Physics, Malayer University, Malayer 65719-95863 (Iran, Islamic Republic of)
  2. Laser and Plasma Research Institute, Shahid Beheshti University, G. C., Evin, Tehran 19835-63113 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22218495
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 10; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 77 NANOSCIENCE AND NANOTECHNOLOGY; APPROXIMATIONS; CARBON NANOTUBES; COMPARATIVE EVALUATIONS; DISPERSION RELATIONS; ELECTRON DENSITY; ELECTRONS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; PLASMA DENSITY; PLASMA WAVES; QUANTUM PLASMA