THERMAL CONDUCTANCE OF HELICALLY COILED CARBON NANOTUBES
Abstract
Thermal conductivity is one of the most interesting physical properties of carbon nanotubes. This quantity has been extensively explored experimentally and theoretically using different approaches like: molecular dynamics simulation, Boltzmann-Peierls phonon transport equation, modified wave-vector model etc. Results of these investigations are of great interest and show that carbon- based materials, graphene and nanotubes in particular, show high values of thermal conductivity. Thus, carbon nanotubes are a good candidate for the future applications as thermal interface materials.
In this paper we present the results of thermal conductance s of a model of helically coiled carbon nanotubes (HCCNTs), obtained from phonon dispersion relations. Calculation of s of HCCNTs is based on the Landauer theory where phonon relaxation rate is obtained by simple Klemens-like model.
References
[2] I. Milošević, Z. P. Popović, M. Damnjanović, Structure and stability of coiled carbon nanotubes, Phys. Stat. Solidi B, Vol. 249 (2012) 2442−2445.
[3] Z. P. Popović, M. Damnjanović, I. Milošević, Carbon nanocoils: structure and stability, Contemporary Materials, Vol. III−1 (2012) 51−54.
[4] I. Laszlo, A. Rassat, The geometric structure of deformed nanotubes and the topological coordinates, J. Chem. Comput. Sci., Vol. 43 (2003) 519−524
[5] I. Laszlo, A. Rassat, P. W. Fowler, A. Graovac, Topological coordinates for toroidal structures, Chemical Physics Letters, Vol. 342 (2001) 369−374.
[6] M. Damnjanović, I. Milošević, Line Groups in Physics, Springer-Verlag, Berlin, 2010.
[7] D. W. Brenner, O. A. Shenderova, J. A. Harrison, S. J. Stuart, B. Ni and S. B. Sinnott, A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons, J. Phys. Condens. Matter, Vol. 14 (2002) 783−802.
[8] M. Mohr, M. Machon, C. Thomsen, I. Milošević, M. Damnjanović, Mixing of the fully symmetric vibrational modes in carbon nanotubes, Phys. Rev. B, Vol. 75 (2007) 195401.
[9] Z. P. Popović, M. Damnjanović, I. Milošević, Anisotropy of thermal expansion of helically coiled carbon nanotubes, Phys. Stat. Solidi B, Vol. 250 (2013) 2535−2538.
[10] D. L. Nika and A. A. Balandin, Two-dimensional phonon transport in graphene, J. Phys. Condens. Matter, Vol. 24 (2012) 233203 (18 pp).
[11] T. Yamamoto, S. Konabe, J. Shiomi, S. Maruyama, Crossover from Ballistic to Diffusive Thermal Transport in Carbon Nanotubes, Appl. Phys. Express, Vol. 2 (2009) 095003 (3 pp).
[12] I. Savić, N. Mingo, D. A. Stewart, Phonon Transport in Isotope-Disorder Carbon and Boron-Nitride nanotubes. Is Localization Observable?, Phys. Rev. Lett., Vol. 101 (2008) 165502.
[13] Supriyo Datta, Quantum Transport: Atom to transistor, Cambridge 2005.
[14] T. Yamamoto, S. Watanabe, K. Watanabe, Universal Features of Quantized Thermal Conductance of Carbon Nanotubes, Phys. Rev. Lett., Vol. 92 (2004) 075502 (4 pp).
