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首页> 外文期刊>Applied Mathematical Modelling >An extended thermodynamic model for size-dependent thermoelectric properties at nanometric scales: Application to nanofilms, nanocomposites and thin nanocomposite films
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An extended thermodynamic model for size-dependent thermoelectric properties at nanometric scales: Application to nanofilms, nanocomposites and thin nanocomposite films

机译：纳米级尺寸相关热电性质的扩展热力学模型：应用于纳米薄膜，纳米复合材料和纳米复合薄膜

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摘要

A new mathematical model is developed, describing size-dependent subcontinuum thermoelectric properties from an extended thermodynamic point of view. This model takes into account the non-local effects of heat transfer through phonons and electrons that are important at nanometric scales. These phenomena are extended to apply also for electric transfer as well as the Seebeck coefficient This model includes at nanoscale size-dependent electron and phonon thermal conductivities, electric conductivity, Seebeck coefficient and carrier concentrations. We compared nanofilms to nanocomposites and assessed their thermoelectric performances in the form of a figure of merit using as an example Bismuth and BismuthTel-luride materials. It appeared that the figure of merit increases considerably for nanofilms and nanocomposites with respect to bulk materials. This is caused by the scattering of phonons and electrons. Our model shows that this scattering effect is not only present at the boundary or particle-matrix interface of the nanosized material, but also within it. The effect of particle size and surface specularity has been investigated, showing that a decreasing value of the particle size and specularity increases the scattering effect and improves the thermoelectric properties. An extension towards thin films of nanocomposite has been presented.
机译：开发了一种新的数学模型，该模型从扩展的热力学角度描述了尺寸依赖的亚连续谱热电特性。该模型考虑了通过声子和电子进行传热的非局部效应，这些效应在纳米尺度上很重要。这些现象扩展到也适用于电传递以及塞贝克系数。该模型包括纳米级尺寸相关的电子和声子的热导率，电导率，塞贝克系数和载流子浓度。我们将纳米薄膜与纳米复合材料进行了比较，并以品质因数的形式评估了其热电性能，并以铋和铋碲化物材料为例。似乎相对于块状材料，纳米膜和纳米复合材料的品质因数显着提高。这是由声子和电子的散射引起的。我们的模型表明，这种散射效应不仅存在于纳米级材料的边界或粒子-矩阵界面，而且还存在于其中。已经研究了粒径和表面镜面性的影响，显示出减小粒径和镜面性的值增加了散射效应并改善了热电性质。已经提出了对纳米复合材料薄膜的扩展。

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