Parametric instabilities in single-walled carbon nanotubes  

作　　者：何彩霞 简粤 祁秀英 薛具奎 

机构地区：[1]College of Physics and Electronic Engineering,Northwest Normal University

出　　处：《Chinese Physics B》2014年第2期339-344,共6页中国物理B（英文版）

基　　金：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);the Creation of Science and Technology of Northwest Normal University of China (Grant No.NWNU-KJCXGC-03-48)

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.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 

分 类 号：TB383.1[一般工业技术—材料科学与工程]