Abstract

Recently measured thermal conductivity in single-walled carbon nanotube ropes in the temperature range 8 - 350 K has been explained using an anisotropic dynamical model which not only takes into account the quasi two-dimensional nature of the folded graphene sheets that forms the nanotubes, but also the intertube coupling, in addition to the phonon frequency and dimensionality dependent relaxation time of phonon-phonon scattering and interaction.

Highlights

  • Thermal conductivity in bulk samples of single-walled carbon nanotube (SWNT) ropes in the temperature range 8 - 350 K, have been reported by Hone et al [1]

  • The observed thermal conductivity is predominantly due to phonons: the contribution of electrons is less than two orders of magnitude in the entire temperature range [2]

  • We consider three dynamical models, which increasingly take into account the realistic nature of the SWNT ropes sample

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Summary

Introduction

Thermal conductivity in bulk samples of single-walled carbon nanotube (SWNT) ropes in the temperature range 8 - 350 K, have been reported by Hone et al [1]. The temperature dependent values of the thermal conductivity are much larger than that of crystalline fullerene, another allotrope of carbon [3]: at low temperature ~8 K it is more than an order which keeps increasing with increasing temperature and becomes more than two orders of magnitude at 300 K. It is smaller than the thermal conductivity of graphite along the z-direction [3] in the temperature range 8 - 150 K, beyond which, it exceeds and becomes almost twice that of graphite at 300 K.

Mathematical Formalism
Extended Debye Model
Anisotropic Model
Results and Discussions
Conclusion
Full Text
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