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Figure 2.8 The temperature dependence of the ratio κ vac(SW) / κ p for the
SWNTwiththevacancy(SWdefect).Theblack,red,andbluesolid(dashed)
curves are
κ vac(SW) / κ p for(6,6), (8,8), and (10,10)SWNTs, respectively.
2.3.3 Isotope Effects on Thermal Transport in Carbon
Nanotubes
In this subsection, we present applications of Landauer-NEGF
method to the coherent phonon transport in isotope-disordered
SWNTs with randomly distributed 13 Cand 14 C [24, 25]. Since
the coexistence of 13 Cand 14 C isotopes and the resultant elastic
scattering cause the interference between coherent phonons,
the isotope-disordered SWNTs is expected to exhibit remarkable
phonon transport phenomena originating from the wave nature of
phonons.
2.3.3.1 Characteristic lengths: mean free path and localization
length
Coherent-phonon transport is classified into three regions based on
arelation amongthelength L ofthescattering region, themean free
path l MFP (
ω
), and the localization length
ξ
: the ballistic regime for
L
l MFP (
ω
), the diffusive regime for l MFP (
ω
)
L
ξ
(
ω
), and the
 
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