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Minimum thermal conductivity in the context of diffuson-mediated thermal transport
Energy & Environmental Science ( IF 32.4 ) Pub Date : 2018-02-01 00:00:00 , DOI: 10.1039/c7ee03256k Matthias T. Agne 1, 2, 3, 4 , Riley Hanus 1, 2, 3, 4 , G. Jeffrey Snyder 1, 2, 3, 4
Energy & Environmental Science ( IF 32.4 ) Pub Date : 2018-02-01 00:00:00 , DOI: 10.1039/c7ee03256k Matthias T. Agne 1, 2, 3, 4 , Riley Hanus 1, 2, 3, 4 , G. Jeffrey Snyder 1, 2, 3, 4
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A model for the thermal conductivity of bulk solids is proposed in the limit of diffusive transport mediated by diffusons as opposed to phonons. This diffusive thermal conductivity, κdiff, is determined by the average energy of the vibrational density of states, ℏωavg, and the number density of atoms, n. Furthermore, κdiff is suggested as an appropriate estimate of the minimum thermal conductivity for complex materials, such that (at high temperatures): 
. A heuristic finding of this study is that the experimental ωavg is highly correlated with the Debye temperature, allowing κdiff to be estimated from the longitudinal and transverse speeds of sound: 
. Using this equation to estimate κmin gives values 37% lower than the widely-used Cahill result and 18% lower than the Clarke model for κmin, on average. This model of diffuson-mediated thermal conductivity may thus help explain experimental results of ultralow thermal conductivity.
中文翻译：
扩散介导的热传输 中的最小热导率
在与声子相反的，由扩散子介导的扩散传输的极限中，提出了一种用于散装固体的热导率的模型。此扩散的热导率，κ DIFF，由状态的振动密度，ℏ的平均能量确定ω平均，和原子的个数密度，Ñ。另外，κ DIFF建议作为最小的热导率的复杂材料的适当估计，使得（在高温下）：。本研究的启发式的发现是，实验ω平均高度与德拜温度相关，允许κ DIFF根据声音的纵向和横向速度估算：。使用这个公式估算κ分钟给出的值37％低于广泛使用卡希尔结果和18％，比克拉克模型降低κ分钟，平均。因此，扩散扩散介导的热导率模型可以帮助解释超低热导率的实验结果。
更新日期：2018-02-01
. A heuristic finding of this study is that the experimental ωavg is highly correlated with the Debye temperature, allowing κdiff to be estimated from the longitudinal and transverse speeds of sound: . Using this equation to estimate κmin gives values 37% lower than the widely-used Cahill result and 18% lower than the Clarke model for κmin, on average. This model of diffuson-mediated thermal conductivity may thus help explain experimental results of ultralow thermal conductivity.
中文翻译：
扩散介导的热传输 中的最小热导率
在与声子相反的，由扩散子介导的扩散传输的极限中，提出了一种用于散装固体的热导率的模型。此扩散的热导率，κ DIFF，由状态的振动密度，ℏ的平均能量确定ω平均，和原子的个数密度，Ñ。另外，κ DIFF建议作为最小的热导率的复杂材料的适当估计，使得（在高温下）：
。本研究的启发式的发现是，实验ω平均高度与德拜温度相关，允许κ DIFF根据声音的纵向和横向速度估算：。使用这个公式估算κ分钟给出的值37％低于广泛使用卡希尔结果和18％，比克拉克模型降低κ分钟，平均。因此，扩散扩散介导的热导率模型可以帮助解释超低热导率的实验结果。
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