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Modified Ballistic–Diffusive Equations for Obtaining Phonon Mean Free Path Spectrum from Ballistic Thermal Resistance: II. Derivation of Integral Equation Based on Ballistic Thermal Resistance
Nanoscale and Microscale Thermophysical Engineering ( IF 2.7 ) Pub Date : 2019-06-13 , DOI: 10.1080/15567265.2019.1628135
Ohmyoung Kwon 1 , Geoff Wehmeyer 2 , Chris Dames 2
Affiliation  

ABSTRACT Rebuilding phonon mean free path (MFP) spectra from experimental data is integral to phonon MFP spectroscopy. However, being based on effective thermal conductivity, the current integral equation for this precludes the use of certain heat sources of convenient shapes, such as a cylindrical nanoline. Herein, to enable using diverse specimens exhibiting a ballistic effect, we develop a ballistic thermal resistance-based integral equation, utilizing the ease and accuracy of the modified ballistic–diffusive equations demonstrated in the companion paper. The availability of more diverse shapes of specimens will enhance further development and widen use of phonon MFP spectroscopy.

中文翻译:

用于从弹道热阻获得声子平均自由程谱的修正弹道扩散方程:II。基于弹道热阻的积分方程的推导

摘要 从实验数据重建声子平均自由程 (MFP) 光谱是声子 MFP 光谱不可或缺的一部分。然而,基于有效热导率,当前的积分方程排除了使用某些方便形状的热源,例如圆柱形纳米线。在这里,为了能够使用表现出弹道效应的不同样本,我们开发了一个基于弹道热阻的积分方程,利用随附论文中演示的修正弹道扩散方程的简便性和准确性。更多不同形状的样本的可用性将促进声子 MFP 光谱的进一步发展和扩大使用。
更新日期:2019-06-13
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