Research Progress on Non-harmonic Effect of Themal Properties of Graphene
CHENG Zhengfu1, ZHOU Mingjun2, YANG Bangchao3, ZHEN Ruilun1
1 College of Electronic and Electrical Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, China 2 The 49th Research Institute of China Electronics Technology Corporation, Harbin 150001, China 3 College of Electronic Science and Technology, University Electronic Science Technology of China, Chengdu 610054, China
Abstract: Graphene is one of the frontiers of international scientific and technological research because of its excellent properties and wide application prospects. At present, it has been researched in many literatures, but the thermodynamic properties of graphene have not been researched completely and systematically, especially, the anharmonic characteristics of graphene. It is an unsolved problem to research the anharmonic effect of graphene thermodynamic performance in depth and systematically for determine the law of thermal expansion, thermal capacity and thermal conductivity varying with temperature. For graphene, its thermal expansion, heat storage and thermal conductivity are correlated to the non-harmonic vibrational effects, and it has been widely used in ultra-thin high-heat storage materials and adjustable thermal management systems. How to determine their variation with temperature from experiment and theory has been researched in many literatures, however this problem has not been solved. How to determine theoretically the law of graphene thermal expansion coefficient, thermal capacity and thermal conductivity changing with temperature, and further to explore the anharmonic effect is the focus of current research. We propose the research method of anharmonic effect theory to study the law of solid material property change is an effective method. The theory can determine the law of material property change with temperature by rigorous mathematical deduction and mathematical theoretical reasoning. In order to determine the variation of thermal expansion coefficient, thermal capacity and thermal conductivity of graphene, establish reasonable physical model, and determine the free energy of characteristic function. On the basis of literature review the research status of graphene thermal expansion, thermal capacity and thermal conductivity, the analytical formulas of graphene thermal expansion coefficient at low temperature, thermal capacity and thermal conductivity varying with temperature are obtained by using solid state physics theory. The characteristics of these thermodynamic quantities varying with temperature are calculated and analyzed, and further discuss the influence of atomic anharmonic vibration. Finally, it is compared with other literature. The results demonstrate that graphene exhibits negative thermal expansion at low temperature, super-high heat conductivity and heat storage performance with large heat capacity, and the higher the temperature, the more prominent the anharmonic effect is. The results are closer to the experimental results than those obtained by other methods that establish a reasonable physical model and determining the free energy of the material’s characteristic function, and easier to discuss the law of thermodynamic properties of materials changing with temperature and the non-harmonic effect. In this work, review the research status and recent achievements of anharmonic effect theory in graphene thermal expansion, thermal capacity and thermal conductivity, and its research direction is predicted. The physical model and free energy of graphene are discussed on the basis of a brief description of the theoretical research methods of anharmonic effect. After reviewing the research status, the research results of negative thermal expansion, thermal capacity and thermal conductivity of graphene at low temperature varying with temperature using the theoretical research methods of anharmonic effect. Finally, the research on the anharmonic effect of graphene thermal properties is prospected. Five aspects of the anharmonic effect need to be improved are pointed out, which can provide useful reference for the theoretical research and application of graphene materials.
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2020, Vol. 34 
