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Length Dependence of Carbon Nanotube Thermal Conductivity and the “Problem of Long Waves”
Abstract
We present the first calculations of finite length carbon nanotube thermal conductivity that extend from the ballistic to the diffusive regime, throughout a very wide range of lengths and temperatures. The long standing problem of vanishing scattering of the "long wavelength phonf dramatically here, making the thermal conductivity diverge as the nanotube length increases. We show that the divergence disappears if 3-phonon scattering processes are considered to second or higher order. Nevertheless, for defect free nanotubes, the thermal conductivity keeps increasing up to very large lengths (10 gm at 300 K). Defects in the nanotube are also able to remove the long wavelength divergence.
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Citations
Cites
Shi, L., Li, D., Yu, C., Jang, W., Kim, D., Yao, Z., Kim, P., & Majumdar, A. (2003) · Journal of Heat Transfer · doi:10.1115/1.1597619 · Cited by 733
Cited by
Nanoscale thermal transport. II. 2003–2012
Cahill, D. G., Braun, P. V., Chen, G., Clarke, D. R., Fan, S., Goodson, K. E., Keblinski, P., King, W. P., Mahan, G. D., Majumdar, A., et al. (2014) · Applied Physics Reviews · doi:10.1063/1.4832615 · Cited by 1,763
Phonon-engineered extreme thermal conductivity materials
Qian, X., Zhou, J., & Chen, G. (2021) · Nature Materials · doi:10.1038/s41563-021-00918-3 · Cited by 837
Colloquium: Heat flow and thermoelectricity in atomic and molecular junctions
Dubi, Y., & Di Ventra, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.131 · Cited by 818
Thermal conductivity of carbon nanotube networks: a review
Kumanek, B., & Janas, D. (2019) · Journal of Materials Science · doi:10.1007/s10853-019-03368-0 · Cited by 486
Multifunctional molecular carbon materials—from fullerenes to carbon nanotubes
Guldi, D. M., Rahman, G. M. A., Sgobba, V., & Ehli, C. (2006) · Chemical Society Reviews · doi:10.1039/b511541h · Cited by 401
Metadata
- Authors
- Mingo, N., & Broido, D. A.
- Venue
- Nano Letters
- Publisher
- American Chemical Society (ACS)
- Published
- 2005-06-17
- Volume
- 5
- Issue
- 7
- Pages
- 1221-1225
- ISSN
- 1530-6984 (ISSN-L)
- 1530-6992
- OpenAlex
- W1973120409
- Cited by
- 382
- References
- 1
- FWCI
- 8.46
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mingo, N., & Broido, D. A. (2005). Length Dependence of Carbon Nanotube Thermal Conductivity and the “Problem of Long Waves”. Nano Letters. https://doi.org/10.1021/nl050714d
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