中国物理B ›› 2014, Vol. 23 ›› Issue (2): 25202-025202.doi: 10.1088/1674-1056/23/2/025202

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

Parametric instabilities in single-walled carbon nanotubes

何彩霞, 简粤, 祁秀英, 薛具奎   

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2013-04-08 修回日期:2013-07-11 出版日期:2013-12-12 发布日期:2013-12-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11274255 and 10975114), the Natural Science Foundation of Gansu Province of China (Grant No. 2011GS04358), and the Creation of Science and Technology of Northwest Normal University of China (Grant No. NWNU-KJCXGC-03-48).

Parametric instabilities in single-walled carbon nanotubes

He Cai-Xia (何彩霞), Jian Yue (简粤), Qi Xiu-Ying (祁秀英), Xue Ju-Kui (薛具奎)   

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • Received:2013-04-08 Revised:2013-07-11 Online:2013-12-12 Published:2013-12-12
  • Contact: Xue Ju-Kui E-mail:xuejk@nwnu.edu.cn
  • About author:52.35.Mw; 52.35.-g; 73.22.Lp; 81.07.De
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11274255 and 10975114), the Natural Science Foundation of Gansu Province of China (Grant No. 2011GS04358), and the Creation of Science and Technology of Northwest Normal University of China (Grant No. NWNU-KJCXGC-03-48).

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摘要： Parametric instabilities induced by the coupling excitation between the high frequency quantum Langmuir waves and the low frequency quantum ion-acoustic waves in single-walled carbon nanotubes are studied with a quantum Zakharov model. By linearizing the quantum hydrodynamic equations, we get the dispersion relations for the high frequency quantum Langmuir wave and the low frequency quantum ion-acoustic wave. Using two-time scale method, we obtain the quantum Zaharov model in the cylindrical coordinates. Decay instability and four-wave instability are discussed in detail. It is shown that the carbon nanotube’s radius, the equilibrium discrete azimuthal quantum number, the perturbed discrete azimuthal quantum number, and the quantum parameter all play a crucial role in the instabilities.

关键词: parametric instabilities, quantum Langmuir waves and ion-acoustic waves, quantum Zakharov model, single-walled carbon nanotubes

Abstract: Parametric instabilities induced by the coupling excitation between the high frequency quantum Langmuir waves and the low frequency quantum ion-acoustic waves in single-walled carbon nanotubes are studied with a quantum Zakharov model. By linearizing the quantum hydrodynamic equations, we get the dispersion relations for the high frequency quantum Langmuir wave and the low frequency quantum ion-acoustic wave. Using two-time scale method, we obtain the quantum Zaharov model in the cylindrical coordinates. Decay instability and four-wave instability are discussed in detail. It is shown that the carbon nanotube’s radius, the equilibrium discrete azimuthal quantum number, the perturbed discrete azimuthal quantum number, and the quantum parameter all play a crucial role in the instabilities.

Key words: parametric instabilities, quantum Langmuir waves and ion-acoustic waves, quantum Zakharov model, single-walled carbon nanotubes

中图分类号:  (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

  • 52.35.Mw
52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams) 73.22.Lp (Collective excitations) 81.07.De (Nanotubes)