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辐射传热作为一个朗道-玻蒂尔问题。

Radiative heat transfer as a Landauer-Büttiker problem.

机构信息

NUS Graduate School for Integrative Sciences and Engineering, Singapore 117597, Republic of Singapore.

Department of Physics, National University of Singapore, Singapore 117551, Republic of Singapore.

出版信息

Phys Rev E. 2017 Jan;95(1-1):012126. doi: 10.1103/PhysRevE.95.012126. Epub 2017 Jan 17.

Abstract

We study the radiative heat transfer between two semi-infinite half-spaces, bounded by conductive surfaces in contact with vacuum. This setup is interpreted as a four-terminal mesoscopic transport problem. The slabs and interfaces are viewed as bosonic reservoirs, coupled perfectly to a scattering center consisting of the two planes and vacuum. Using Rytov's fluctuational electrodynamics and assuming Kirchhoff's circuital law, we calculate the heat flow in each bath. This allows for explicit evaluation of a conductance matrix, from which one readily verifies Büttiker symmetry. Thus, radiative heat transfer in layered media with conductive interfaces becomes a Landauer-Büttiker transport problem.

摘要

我们研究了由与真空接触的导电表面所限定的两个半无限半空间之间的辐射热传递。这种设置被解释为一个四端介观输运问题。平板和界面被视为玻色子储层,与由两个平面和真空组成的散射中心完美耦合。我们使用 Rytov 的涨落电动力学并假设 Kirchhoff 的电路定律,计算了每个浴槽中的热流。这允许对电导矩阵进行显式评估,从其中可以很容易地验证 Büttiker 对称性。因此,具有导电界面的层状介质中的辐射热传递成为 Landauer-Büttiker 输运问题。

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