**Size dependent thermal conductivity of single-walled carbon nanotubes**

AJ Cao and JM Qu, JOURNAL OF APPLIED PHYSICS, 112, 013503 (2012).

DOI: 10.1063/1.4730908

In this paper, we report a non-equilibrium molecular dynamics study on
the size-dependent thermal conductivity in single-walled carbon
nanotubes with lengths up to micrometers at room temperature. It is
found that the size-dependent thermal conductivity of single-walled
carbon nanotubes can be described by kappa(L, d) approximate to
kappa(g)(L)(1 - e(-0.185d/a0)), where L is the tube length, d is the
diameter, a(0) = 2.46 angstrom is the graphene lattice constant, and
kappa(g)(L) proportional to L-alpha is the thermal conductivity of a
graphene of length L. In the above, alpha = 1 for L < l(0), and alpha
similar to 0.21 for L > l(0), independent of the tube chirality (zigzag
or armchair), where l(0) approximate to 200 nm and 300 nm are the
effective phonon mean free path for zigzag and armchair tubes,
respectively. Physical interpretations of such geometry dependence are
provided in the paper by analyzing the spectral energy density, the
dispersion relationship, the phonon density of state, and the power
spectrum of phonons. (C) 2012 American Institute of Physics.
**http://dx.doi.org/10.1063/1.4730908**

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