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arXiv 1702.01146physics.class-ph
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热电输运的隐身

Cloaking of Thermoelectric Transport

Troy Stedman, Lilia M. Woods

摘要:

通过坐标变换方法控制电磁场、热流、电流和其他物理现象的能力已经导致了新的功能,例如隐身、场旋转和集中效应。变换光学,作为基础的数学工具,已被证明是一种多功能的方法来实现这种不寻常的结果依赖于具有高度各向异性和不均匀特性的材料。到目前为止,大多数应用程序和设计都局限于单个物理域中的功能。在这里,我们提出了转换光学应用到热电现象,其中热和电的流动耦合通过塞贝克系数和焦耳加热考虑。使用层压板,我们描述了一个理论上的热电斗篷能够隐藏物体的热电流。我们的计算表明,这样的斗篷不依赖于特定的边界条件,也可以在不同的单域制度。这些原理证明的结果构成了一个重要的一步,朝着寻找未探索的方法来控制和操纵耦合传输。

英文摘要:

The ability to control electromagnetic fields, heat currents, electric currents, and other physical phenomena by coordinate transformation methods has resulted in novel functionalities, such as cloaking, field rotations, and concentration effects. Transformation optics, as the underlying mathematical tool, has proven to be a versatile approach to achieve such unusual outcomes relying on materials with highly anisotropic and inhomogeneous properties. Most applications and designs thus far have been limited to functionalities within a single physical domain. Here we present transformation optics applied to thermoelectric phenomena, where thermal and electric flows are coupled via the Seebeck coefficient and Joule heating is taken into account. Using laminates, we describe a theoretical thermoelectric cloak capable of hiding objects from thermoelectric flow. Our calculations show that such a cloak does not depend on the particular boundary conditions and can also operate in different single domain regimes. These proof-of-principle results constitute a significant step forward towards finding unexplored ways to control and manipulate coupled transport.

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