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中文摘要：
本史计算了多壁碳纳米管的声子色散关系，分析了多壁碳纳米管的声子振动模式和热物理性质。结果表明：多壁碳纳米管的层间相互作用使得声子频率升高，因而使得比热容和热导率降低。在极低温区层间相互作用对热物性参数的影响明显。对于（5，5）@（10，10）管，不考虑层间相互作用时热导率的计算值在10K处可相差60％。随着层数的增加，多壁管热导率值降低，并且趋向定值。
英文摘要：
In this paper, phonon dispersion relations （PDR） were calculated. Phonon vibration modes and its thermophysical characters were then analyzed based on the obtained PDR. Results show that the inter-layer interaction in multi-wall carbon nanotubes raises phonon frequencies, which reduces the specific heat and thermal conductivity. This effect on the thermal properties cannot be neglected in extremely low temperature region. For （5,5）@（10,10） tubes, the diffrernce of the thermal conductivity caused by ignoring inter-layer effect can reach 60% at 10 K. The results also show that the thermal conductivity of multi-wall carbon nanotubes decreases as the number of layers increases.
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