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arXiv 1802.07378cond-mat.mtrl-sci
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高精度测量固体热扩散率的热模谱微扰理论

Perturbation theories behind thermal mode spectroscopy for high-accuracy measurement of thermal diffusivity of solids

Hideshi Ishida, Hirotsugu Ogi

摘要:

最近提出了热模式光谱(TMS),用于从通过三维(反)节点信息选择的特定热模式的温度衰减速率精确地测量固体的热扩散率[Phys.Rev.Lett.,117,195901(2016)]。本文通过对TMS的扰动分析,发现TMS具有如下优点:首先,TMS适用于测量小尺寸样品的高热扩散率。第二,它是受试样上的热阻膜的影响较小,在这个意义上,在界面处的电阻不影响热扩散率的一阶校正。第三,即使在扩散率依赖于温度的情况下,也可以对在热平衡状态下指定的热扩散率进行双倍精确的测量,这是因为可以在与给定状态的微小温度差内进行测量,并且最慢衰减模式的衰减速率不受该依赖性的影响。

英文摘要:

Thermal mode spectroscopy (TMS) has been recently proposed for accurately measuring thermal diffusivity of solids from a temperature decay rate of a specific thermal mode selected by three- dimensional (anti)nodal information [Phys. Rev. Lett., 117, 195901 (2016)]. In this paper, we find out the following advantages of TMS by use of perturbation analyses. First, TMS is applicable to the measurement of high thermal diffusivity with a small size specimen. Second, it is less affected by thermally resistive films on a specimen in the sense that the resistance at the interface does not affect the first-order correction of thermal diffusivity. Third, it can perform doubly accurate measurement of the thermal diffusivity specified at a thermal equilibrium state even if the diffusivity depends on temperature in the sense that the measurement can be performed within tiny temperature difference from the given state and that the decay rate of the slowest decaying mode is not affected by the dependence.

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