Journal
NANO LETTERS
Volume 5, Issue 7, Pages 1221-1225Publisher
AMER CHEMICAL SOC
DOI: 10.1021/nl050714d
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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 phonons (Pomeranchuk, 1. J. Phys. (U.S.S.R.) 1941, 4, 259; Phys. Rev. 1941, 60, 820) manifests itself 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 mu m at 300 K). Defects in the nanotube are also able to remove the long wavelength divergence.
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