[1]顾云风,陈云飞..单壁碳纳米管的三声子倒逆过程[J].郑州大学学报(工学版),2009,30(01):152-155.
　GU Yun,CHEN Yun.Establishment of Dynamic Model of Oscillating Compactor and Study of Amplitude-frequency Characteristics[J].Journal of Zhengzhou University (Engineering Science),2009,30(01):152-155.
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单壁碳纳米管的三声子倒逆过程()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
30
期数:
2009年01期
页码:
152-155
栏目:
出版日期:
1900-01-01

文章信息/Info

Title:
Establishment of Dynamic Model of Oscillating Compactor and Study of Amplitude-frequency Characteristics
作者:
顾云风; 陈云飞.
东南大学,机械工程学院,江苏,南京,211189;南京林业大学,机械电子工程学院,江苏,南京,210037, 东南大学,机械工程学院,江苏,南京,211189;东南大学,MEMS教育部重点实验室,江苏,南京,210096
Author(s):
GU Yun; CHEN Yun
1．School ofMechanical Engineering，Southeast University，Nanjin9211189。China；2．Key Laboratory ofMEMS ofMinistry of Education，Southeast University，Naajing 210096，China；3．College of Electronic and Mechanical Engineering，Nanjing ForestryUniversity，Nanjing 210037，China
关键词:
碳纳米管;  倒逆过程;  弛豫率;  声子
Keywords:
carbon nanotube; umklapp process; relaxation rate; phonon
摘要:
介绍了单壁碳纳米管的三声子倒逆过程弛豫率的计算,建立了倒逆过程的选择定则,提出了弛豫率的计算公式以及高温和低温极限下的近似计算公式.在线性色散关系下弛豫率在高温时与频率的平方成正比;在低温极限时弛豫率随温度的倒数是按指数律变化;在高温极限时,弛豫率随温度线性增长.在考虑全部色散关系时,随着散射通道的增加,横波声子的总弛豫率曲线随频率增长时出现大量不连续点,并且光学声子的加入使总弛豫率增长了至少一个数量级.
Abstract:
The calculation of the relaxation rate of the three—phonon umklapp process in single—walled carbon nanotubes is introduced．Selection rules are determined for the umklapp process．The equations are developed to get the relaxation rate，and the high and low temperature limit approximations．The rate varies linearly with the square of the frequency under the linear phonon dispersion assumption．The rate varies exponentially with the inverse of temperature in the low temperature limit，and linearly with temperature in the high temperature limit，respectively．Inclusion of all the phonon branches leads to the increase of the number of the scattering channels，and the number of the singularities on the total relaxation rate line．Another result is that the rate increases at least one order of magnitude．

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更新日期/Last Update: 1900-01-01