arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2108.09526cond-mat.mes-hall
收藏

碳纳米管阵列中的声子干涉

Phonon interference in the array of carbon nanotubes

Valeri V. Smirnov

摘要:

一维阵列的单壁碳纳米管,相互作用的范德华力,被认为是动力学。分子动力学模拟结果表明,纳米管的相互位移和管壁的变形都发生在低频振荡区域。在弹性薄壳理论的框架下,建立了考虑两种纳米管运动的复合模型。这样的方法使我们能够减少问题的动力学的双参数线性晶格接触相互作用。色散关系表示解析和多通道传播,结果声子干涉(声学模拟的法诺共振)观察到的阵列的不规则性的存在下。后者可以用冗余的纳米管形成,这些纳米管放置在相邻位置之间的凹槽中的阵列上。用传输矩阵法计算了几种典型结构的透射率。

英文摘要:

The dynamics of the one-dimensional array of the single-walled carbon nanotubes, which interact by van der Waals forces, is considered. The molecular dynamics simulation shows that both the mutual displacements of the nanotubes and the deformations of their walls occur in the low-frequency oscillations domain. The composite model taking into account both types of the nanotubes' motions was developed in the framework of the thin elastic shell theory. Such an approach allows us to reduce the problem to the dynamics of the two-parametric linear lattice with contact interaction. The dispersion relations are represented analytically and the multi-channel propagation that results to phonon interference (the acoustical analogue of the Fano resonance) is observed in the presence of the array's irregularities. The latter can be formed with redundant nanotubes, which are placed over the array in the groove between neighbour sites. The calculations of the transmittance have been performed by the transfer matrix method for several typical configurations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑