Chin. Phys. Lett.  2016, Vol. 33 Issue (12): 126501    DOI: 10.1088/0256-307X/33/12/126501
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
Temperature-Dependent Debye Temperature and Specific Capacity of Graphene
Xiao-Xia Ren1, Wei Kang2, Zheng-Fu Cheng1, Rui-Lun Zheng1**
1College of Electronic and Electrical Engineering, Chongqing University of Arts and Sciences, Yongchuan 402160
2College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065
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Xiao-Xia Ren, Wei Kang, Zheng-Fu Cheng et al  2016 Chin. Phys. Lett. 33 126501
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Abstract The shot-range interaction and the atomic anharmonic vibration are both considered, and then the analytic functions of the Debye temperature, the specific capacity and the thermal conductivity of graphene with the temperature are obtained. The influence of anharmonic vibration on these thermal physical properties is also investigated. Some theoretical results are given. If only the harmonic approximation is considered, the Debye temperature of the graphene is unrelated to the temperature. If the anharmonic terms are considered, it increases slowly with the increasing temperature. The molar heat capacity of the graphene increases nonlinearly with the increasing temperature. The mean free path of phonons and the thermal conductivity of the graphene decrease nonlinearly with the increasing temperature. The relative changes of the Debye temperature, the specific heat capacity and the thermal conductivity caused by the anharmonic terms increase with the increasing temperature. The anharmonic effect of atomic vibration becomes more significant under higher temperature.
Received: 18 September 2016      Published: 29 December 2016
PACS:  65.40.Ba (Heat capacity)  
  65.40.G- (Other thermodynamical quantities)  
  65.80.Ck (Thermal properties of graphene)  
Fund: Supported by the National Natural Science Foundation of China under Grant No 11574253, the Scientific and Technological Research Program of Chongqing Municipal Education Commission under Grant Nos KJ1601111 and KJ1601118, and the Basic and Frontier Research Projects of Chongqing under Grant No cstc2015jcyjA40054.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/33/12/126501       OR      https://cpl.iphy.ac.cn/Y2016/V33/I12/126501
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Xiao-Xia Ren
Wei Kang
Zheng-Fu Cheng
Rui-Lun Zheng
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