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Anomalous heat conduction and thermal rectification in weak nonlinear lattices

  • Regular Article - Solid State and Materials
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Abstract

Heat conduction in one-dimensional system is generally found to be anomalous. However, the scaling behavior of thermal conductivity with system length is still up for debate among theoretical, numerical and experimental results. Here with a devised adjustable reflectivity heat reservoir, we re-address the anomalous heat conduction in one-dimensional Fermi–Pasta–Ulam \(\beta \) (FPU-\(\beta \)) lattices under weak nonlinear conditions. Our results show that, the boundary thermal resistance has an important impact on the divergent thermal conductivity of one-dimensional systems with weak nonlinearity. As an application of this concept, we design a thermal rectification model in one material with asymmetric boundary coupling, which is in sharp contrast to the well-known thermal rectifiers composed of two different materials. Our findings shed light on the intrinsic heat conduction in weak nonlinear lattices, which might be helpful to understand the heat transfer experiments of one-dimensional materials, such as carbon nanotubes, nanowires, and polymer chains.

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Influence of boundary thermal resistance on anomalous heat conduction in weak nonlinear lattices

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The results are obtained mainly through numerical simulations, and all the related data have been shown in the figures of the article.]

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (NSFC no. 12202019).

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Authors and Affiliations

  1. Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

    Tao Sun

  2. Institute of Solid Mechanics, Beihang University, Beijing, 100191, China

    Li-Hua Shao

  3. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Kai Zhang

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  1. Tao Sun
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  2. Li-Hua Shao
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  3. Kai Zhang
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Contributions

TS: methodology, investigation, writing—original draft. L-HS: conceptualization, validation, visualization. KZ: formal analysis, validation, supervision. The results are obtained mainly through numerical simulations, and all the related data have been shown in the figures of the article.

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Correspondence to Kai Zhang.

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Sun, T., Shao, LH. & Zhang, K. Anomalous heat conduction and thermal rectification in weak nonlinear lattices. Eur. Phys. J. B 96, 99 (2023). https://doi.org/10.1140/epjb/s10051-023-00568-1

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