Length dependence of carbon nanotube thermal conductivity and the "problem of long waves"

被引:346
作者
Mingo, N
Broido, DA
机构
[1] NASA, Ames Ctr Nanotechnol, Moffett Field, CA 94035 USA
[2] Boston Coll, Dept Phys, Chestnut Hill, MA 02467 USA
关键词
D O I
10.1021/nl050714d
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
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.
引用
收藏
页码:1221 / 1225
页数:5
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