The radial breathing mode in CNT - the nonlinear theory of the resonant energy exchange

2015/02/25 by В. В. Смирнов, Leonid I. Manevitch, Smirnov, V. V. +5
Engineering · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #FOS: Physical sciences #Geophysics and Sensor Technology #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · pdf · doi:10.48550/arxiv.1502.07081

openalex publication_date 2015/02/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We demonstrate the new specific phenomenon of the long-time resonant energy exchange in the carbon nanotubes (CNTs) with the radial breathing mode as a carrier. This process turns out to be stable in the wide range of the excitation energy. It is shown that the modified nonlinear Schrödinger equation, obtained in the framework of nonlinear elastic thin shell theory, describes the CNT nonlinear dynamics in the considered frequency band. The numerical integration of the thin shell theory equations confirms the results of the analytical study.

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