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

Nano Letters

Volumn 5, Issue 7, 2005, Pages 1221-1225

  Mingo, N ^a   Broido, D A ^b  

^a NASA Ames Center for Nanotechnology   (United States)

^b BOSTON COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC BRANCHES; LONG WAVES; PHONON LENGTH; PHONON PROCESSES;

ALGORITHMS; DIFFUSION; ITERATIVE METHODS; PHONONS; THERMAL CONDUCTIVITY; THERMAL EFFECTS;

CARBON NANOTUBES;

CARBON NANOTUBE;

ARTICLE; CHEMICAL MODEL; CHEMISTRY; COMPUTER SIMULATION; CONFORMATION; EVALUATION; MATERIALS TESTING; STRUCTURE ACTIVITY RELATION; TEMPERATURE; THERMAL CONDUCTIVITY;

COMPUTER SIMULATION; MATERIALS TESTING; MODELS, CHEMICAL; MOLECULAR CONFORMATION; NANOTUBES, CARBON; STRUCTURE-ACTIVITY RELATIONSHIP; TEMPERATURE; THERMAL CONDUCTIVITY;

EID: 23144439367     PISSN: 15306984     EISSN: None     Source Type: Journal    
DOI: 10.1021/nl050714d     Document Type: Article

References (26)

1. Pomeranchuk, I. J. Phys. (U.S.S.R.) 1941, 4, 259.
2. Pomeranchuk, I. J. Phys. (U.S.S.R.) 1942, 6, 237.
3. Pomeranchuk, I. Phys. Rev. 1941, 60, 820.
4. Ziman, J. M. Electrons and Phonons; Oxford University Press: Oxford, 1960.
5. Herring, C. Phys. Rev. B 1954, 95, 954.
6. Livi, R.; Lepri, S. Nature 2003, 421, 327, and references therein.
7. An earlier attempt to calculate the length dependence of the thermal conductivity of SWNTs has been presented by Maruyama, S. Physica B 2002, 323, 193. However, those results, based on classical molecular dynamics, violate the quantum upper bounds to the maximum thermal conductance achievable through the nanotube. (Mingo, N.; Broido, D. A., submitted.)
8. When a = 1 one speaks of diffusive transport, whereas α < 1 is referred to as superdiffusive.
9. Peierls, R. Ann. Physik 1929, 3, 1055.
10. Omini, M.; Sparavigna, A. Physica B 1995, 212, 101.
11. Callaway, J. Quantum Theory of the Solid State; Academic Press: New York, 1974.
12. A similar discussion for bulk solids can be found in ref 2.
13. Klemens, P. G. in Thermal Conductivity; Tye, R. P., Ed.: Academic Press: London, 1969; Vol. 1, p 1.
14. Narayan, O.; Ramaswamy, S. Phys. Rev. Lett. 2002, 89, 200601.
15. Lifshitz, E. M.; Pitaevskii, L. P. Physical Kinetics; Pergamon Press: Oxford, 1981.
16. Mahan, G. D. Gun Sang Jeon, Phys. Rev. B 2004, 70, 075405.
17. Jishi, R. A.; Venkataraman, L.; Dresselhaus, M. S.; Dresselhaus, G. Chem. Phys. Lett. 1993, 209, 77.
18. Klemens, P. G.; Pedraza, D. F. Carbon 1994, 32, 735.
19. Ecsedy, D. J.; Klemens, P. G. Phys. Rev. B 1977, 15, 5957.
20. Very large values of κ ∼ 3000-6000 W/m - K at room temperature have been obtained for infinitely long SWNTs using other techniques [see refs 19, 20, 21].
21. Berber, S.; Kwon, Y-K.; Tománek, D. Phys. Rev. Lett. 2000, 84, 4613.
22. Che, J.; Çagin, T.; Goddard, W. A. III Nanotechnology 2000, 11, 65.
23. Osman, M. A.; Srivastava, D. Nanotechnology 2001, 12, 21.
24. Glavin, B. A. Phys. Rev. Lett. 2001, 86, 4318.
25. Shi, L.; Li, D.; Yu, C.; Jang, W.; Kim, D.; Yao, Z.; Kim, P.; Majumdar, A.; J. Heat Transfer 2003, 125, 881.
26. Mingo, N.; Broido, D. A., submitted.