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首页> 外文会议>International Conference on Structural Dynamics >Nonlinear optical vibrations of single-walled carbon nanotubes.
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Nonlinear optical vibrations of single-walled carbon nanotubes.

机译：单壁碳纳米管的非线性光学振动。

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摘要

We demonstrate a new specific phenomenon of the long-time resonant energy exchange in carbon nanotubes (CNTs), which is realized by two types of optical vibrations, the Circumferential Flexure Mode (CFM) and the Radial Breathing Mode (RBM). We show that the modified nonlinear Schrdinger equation, obtained in the framework of the nonlinear theory of elastic thin shells, allows us to describe the nonlinear dynamics of CNTs for specified frequency bands. Comparative analysis of the oscillations of the CFM and RBM branches shows the qualitative difference of nonlinear effects for these branches. While the nonlinear resonant interaction of the low-frequency modes in the CFM branch leads to energy capture in some domains of the CNT, the same interaction in the RBM branch does not demonstrate any tendency for energy localization. The reason lies in the distinction in the nonlinear terms in the equations of motion. While CFMs are characterized by soft polynomial nonlinearity, RBM dynamics is characterized by hard gradient nonlinearity. Moreover, in contrast to the CFM, the importance of nonlinearity in the case of RBM oscillations decreases as the length to radius ratio increases. Numerical integration of the equations of thin shell theory confirms the results of the analytical study.
机译：我们展示了碳纳米管（CNT）中的长时间共振能量交换的新特定现象，其由两种类型的光学振动，周向弯曲模式（CFM）和径向呼吸模式（RBM）实现。我们表明，在弹性薄壳的非线性理论的框架中获得的改进的非线性施拉网方程允许我们描述用于指定频带的CNT的非线性动态。 CFM和RBM分支振荡的对比分析显示了这些分支的非线性效应的定性差异。虽然CFM分支中的低频模式的非线性谐振相互作用导致CNT的一些域中的能量捕获，但是RBM分支中的相同相互作用不会证明能量定位的任何趋势。原因在于运动方程中的非线性术语的区别。虽然CFMS的特征在于软多项式非线性，但RBM动态的特征在于硬质梯度非线性。此外，与CFM相比，随着半径比率的长度增加，在RBM振荡的情况下，非线性的重要性降低。薄壳理论方程的数值集成证实了分析研究的结果。

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