Parametric instabilities in single-walled carbon nanotubes

doi:10.1088/1674-1056/23/2/025202

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.

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

Received: 08 April 2013
Revised: 11 July 2013
Accepted manuscript online:

PACS:	52.35.Mw	(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
	52.35.-g	(Waves, oscillations, and instabilities in plasmas and intense beams)
	73.22.Lp	(Collective excitations)
	81.07.De	(Nanotubes)

Fund: 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).

Corresponding Authors: Xue Ju-Kui
E-mail: xuejk@nwnu.edu.cn

About author: 52.35.Mw; 52.35.-g; 73.22.Lp; 81.07.De

Cite this article:

He Cai-Xia (何彩霞), Jian Yue (简粤), Qi Xiu-Ying (祁秀英), Xue Ju-Kui (薛具奎) Parametric instabilities in single-walled carbon nanotubes 2014 Chin. Phys. B 23 025202

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