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首頁> 外文期刊>Physical review. B, Condensed Matter And Materals Physics >Onsager reciprocity relation for ballistic phonon heat transport in anisotropic thin films of arbitrary orientation
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Onsager reciprocity relation for ballistic phonon heat transport in anisotropic thin films of arbitrary orientation

機(jī)譯：各向異性取向薄膜中彈道聲子傳熱的Onsager互惠關(guān)系

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A classic Onsager reciprocity relation for Fourier heat conduction in the absence of magnetic tields states that the thermal conductivity tensor in bulk anisotropic solids is symmetric. However, since Fourier's law tails in thin dielectric films due to ballistic phonon transport effects, it is natural to ask whether an analogous Onsager relation can be identified in the boundary scattering regime. To answer this question, we solve the Boltzmann transport equation (BTE) under the relaxation time approximation for in-plane and cross-plane heat transport for thin films with anisotropic phonon dispersion relations and scattering rates. We use these BTE solutions to show that the thermal conductivity tensor of thin films is symmetric from the diffusive regime through the boundary scattering regime. We illustrate this reciprocity by calculating thermal conductivity suppression functions for a model anisotropic material. We compare our BTE solution to previous atomistic simulations of arbitrarily aligned graphite thin films, and use published first-principles calculations to model anisotropic in-plane heat How in aligned black phosphorus. Our derivation shows how Onsager reciprocity for anisotropic heat conduction extends into the boundary scattering regime, and reduces the number of independent measurements required to fully characterize heat transport in anisotropic thin films.
機(jī)譯：在不存在磁連接的情況下，傅立葉熱傳導(dǎo)的經(jīng)典Onsager互惠關(guān)系指出，塊狀各向異性固體中的熱導(dǎo)張量是對稱的。但是，由于傅立葉定律由于彈道聲子傳輸效應(yīng)而在薄介電薄膜中尾部出現(xiàn)，因此自然要問，是否可以在邊界散射機(jī)制中識別出類似的昂薩格關(guān)系。為了回答這個問題，我們在具有各向異性聲子色散關(guān)系和散射率的薄膜的面內(nèi)和跨面熱傳輸?shù)某谠r間近似下，求解了玻耳茲曼輸運方程。我們使用這些BTE解決方案來證明薄膜的熱導(dǎo)張量從擴(kuò)散狀態(tài)到邊界散射狀態(tài)都是對稱的。我們通過計算模型各向異性材料的導(dǎo)熱系數(shù)抑制函數(shù)來說明這種互易性。我們將BTE解決方案與以前對任意排列的石墨薄膜進(jìn)行原子模擬的結(jié)果進(jìn)行了比較，并使用已發(fā)布的第一性原理計算來模擬各向異性面內(nèi)黑磷的平面熱量。我們的推導(dǎo)表明，各向異性各向異性熱傳導(dǎo)的Onsager互易性如何擴(kuò)展到邊界散射范圍，并減少了充分表征各向異性薄膜中的熱傳遞所需的獨立測量次數(shù)。

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  • 來源
    《Physical review. B, Condensed Matter And Materals Physics》 |2018年第1期|014304.1-014304.12|共12頁
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    Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720, USA;

    Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720, USA;

    Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720, USA;

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