基于线性波尔兹曼输运方程和碳纳米管的色散关系,本文研究了声子散射的Umklapp和Normal过程同时存在时单壁碳纳米管的晶格热导率,以及温度、管长和管径对它的影响.结果表明:N过程的影响在高温不能忽略;对(10,0)管而言,在低温下其导热率随温度升高迅速增大,在90 K附近达到最大值,然后逐渐开始下降;热导率与管长L的关系是κ∝ L1/2;在相同管长和温度下,热导率随管径的减小而增大.
参考文献
| [1] | Fujii M;Zhang X;Xie HQ;Ago H;Takahashi K;Ikuta T;Abe H;Shimizu T .Measuring the thermal conductivity of a single carbon nanotube[J].Physical review letters,2005(6):5502-1-5502-4-0. |
| [2] | Yu CH;Shi L;Yao Z;Li DY;Majumdar A .Thermal conductance and thermopower of an individual single-wall carbon nanotube[J].Nano letters,2005(9):1842-1846. |
| [3] | Berber S.;Tomanek D.;Kwon YK. .Unusually high thermal conductivity of carbon nanotubes[J].Physical review letters,2000(20):4613-4616. |
| [4] | S Maruyama .A Molecular Dynamics Simulation of Heat Conduction in Finite Length SWNTs[J].PHYSICA B,2002,323:193-195. |
| [5] | Mohamed A Osman;Deepak Srivastava .Temperature dependence of the thermal conductivity of single-wall carbon nanotubes[J].Nanotechnology,2001(1):21-24. |
| [6] | J. X. Cao;X. H. Yan;Y. Xiao;J.W. Ding .Thermal conductivity of zigzag single-walled carbon nanotubes: Role of the umklapp process[J].Physical Review.B.Condensed Matter,2004(7):073407.1-073407.4. |
| [7] | Takahiro Yamamoto;Satoshi Watanabe;Kazuyuki Watanabe .Universal Features of Quantized Thermal Conductance of Carbon Nanotubes[J].Physical review letters,2004(7):075502.1-075502.4. |
| [8] | J Callaway .Model for Lattice Thermal Conductivity at Low Temperatures[J].Physical Review,1959,113(04):1046-1151. |
| [9] | Saito R.;Kimura T.;Dresselhaus G.;Dresselhaus MS.;Takeya T. .Raman intensity of single-wall carbon nanotubes[J].Physical Review.B.Condensed Matter,1998(7):4145-4153. |
| [10] | Patrice Chantrenne;Jean-Louis Barrat .Analytical model for the thermal conductivity of nanostructures[J].Superlattices and microstructures,2004(3/6):173-186. |
| [11] | M Roufosse;P G Klemens .Thermal Conductivity of Complex Dielectric Crystals[J].Physical Review B,1973,7(12):5379. |
| [12] | D T Morelli;J P Heremans;G A Slack .Estimation of the Isotope Effect on the Lattice Thermal Conductivity of Group Ⅳ and Group Ⅲ-Ⅴ Semiconductors[J].Physical Review B,2002,66(19):195304. |
| [13] | Y K Kwon;S Berber;D Toma'nek .Kwon,Berber,and Toma'nek Reply[J].Physical Review Letters,2005,94(20):209702. |
| [14] | Mingo N;Broido DA .Length dependence of carbon nanotube thermal conductivity and the "problem of long waves"[J].Nano letters,2005(7):1221-1225. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%