Abstract Synthesis of multi-layered nanostructures has led to better management of the heat transfer at the nanoscale. There are several parameters that affect this phenomenon, among them, geometrical features of the layers and their interconnections should be deeply analyzed. In this paper, heat transfer in a two-dimensional van der Waals heterostructure consisting of a finite length layer coated on top of a longer under-layer is investigated based on a newly developed analytical model. Accordingly, the in-plane and the cross-plane heat fluxes are thoroughly studied along with the temperature profile within the layers. It is demonstrated that by increasing the overlaying length, the thermal transport capability of the system enhances, and the temperature jump between the layers diminishes. Additionally, the results reveal that by increasing the cross-plane to in-plane thermal conductivity ratio, the total heat flow enhances in the heterostructure. Moreover, for the heterolayers with different types of materials, influence of the thermal conductivity of the finite top layer on the overall heat transport is systematically examined. The results of this study can be practically used in the thermal design of two-dimensional van der Waals heterostructures.

中文翻译：

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二维范德华异质结构中的热传输：一种分析建模方法

摘要 多层纳米结构的合成可以更好地管理纳米级的传热。影响这种现象的参数有几个，其中，应深入分析层的几何特征及其互连。在本文中，基于新开发的分析模型研究了二维范德华异质结构中的热传递，该异质结构由涂覆在较长底层顶部的有限长度层组成。因此，平面内和平面间的热通量与层内的温度分布一起被彻底研究。结果表明，通过增加覆盖长度，系统的热传输能力增强，层间温度跃变减小。此外，结果表明，通过增加跨平面与平面内的热导率比，异质结构中的总热流增强。此外，对于具有不同类型材料的异质层，系统地研究了有限顶层的热导率对整体热传输的影响。该研究结果可实际用于二维范德华异质结构的热设计。