碳纳米管中的离散非线性呼吸模式
Discrete Nonlinear Breathing Modes in Carbon Nanotubes
摘要：
我们研究了具有手性$(m,0)$和$(m,m)$的碳纳米管的大振幅振荡，并预测了{ \em离散呼吸子}形式的局域非线性模式的存在。在纳米管的指数$(m,0)$ { \em三种类型}的本地化模式可以存在，即纵向，径向和扭转呼吸;然而，只有扭转呼吸，或{ \em twistons}，是非辐射的非线性模式，存在于频率的线性频谱的差距。具有指数$(m,m)$的碳纳米管的几何形状仅允许在窄光谱范围内存在宽径向呼吸子。
英文摘要：
We study large-amplitude oscillations of carbon nanotubes with chiralities $(m,0)$ and $(m,m)$ and predict the existence of localized nonlinear modes in the form of {\em discrete breathers}. In nanotubes with the index $(m,0)$ {\em three types} of localized modes can exist, namely longitudinal, radial, and twisting breathers; however only the twisting breathers, or {\em twistons}, are nonradiating nonlinear modes which exist in the frequency gaps of the linear spectrum. Geometry of carbon nanotubes with the index $(m,m)$ allows only the existence of broad radial breathers in a narrow spectral range.
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