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arXiv · 2311.02954

Non-ballistic Thermal Transport in Carbon Nanotubes

Ankit Jain
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Abstract

The thermal transport properties of single-wall carbon nanotubes (SWCNTs) are re-investigated using the iterative solution of the Boltzmann transport equation by including four-phonon scattering. Using only three-phonon scattering, the flexural and twisted phonon modes are found to remain non-scattered via Umklapp processes, resulting in the literature-reported divergence of thermal conductivity with tube length. However, with four-phonon scattering, while longitudinal modes remain unaffected, the otherwise non-scattered transverse modes undergo Umklapp scattering and result in a non-ballistic transport, thus settling a decades-long debate on the length dependence of thermal conductivity of SWCNTs. The predicted thermal conductivity of SWCNTs using both three- and four-phonon scatterings is 3700 W/m-K at 300 K and stays highest amongst all known materials.

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Ankit Jain. 2023-11-06. Non-ballistic Thermal Transport in Carbon Nanotubes. https://arxiv.org/abs/2311.02954

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