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Heat flux localization and abnormal size effect induced by multi-body vibration in complex networks

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Abstract

Heat conduction in real physical networks such as nanotube/nanowire networks has been attracting more and more attention, but its theoretical understanding is far behind. To open a way to this problem, we present a multi-body vibration model to study heat conduction in complex networks, where nodes’ degrees satisfy a random distribution, and links consist of 1D atom chains with nonlinear springs. Based on this model, we find two interesting phenomenons: (1) The main heat fluxes of a network always localize in a skeleton subnetwork, which may have potential applications in thermal management and thermal concentrators, and (2) there exists an abnormal size effect of heat conduction in complex networks, i.e., the total heat flux of a network will enlarge with the increase of atoms on links, which is in contrast to the previous result on a 1D chain. Furthermore, we introduce a transmission diagram to characterize the skeleton of localized heat fluxes and then discover a jum** transition of total heat flux in the process of removing links, implying that the control of heat flux can be effective only when the change in a network topology focuses on the links within the skeleton. A brief theory is introduced to explain the abnormal size effect.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China under Grant Nos. 12005166, 11675056 and 11835003, and the Natural Science Foundation of Shaanxi Provincial Department of Education under Grant No. 20JK0764.

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Authors and Affiliations

  1. College of Science, **’an University of Science and Technology, **’an, 710054, People’s Republic of China

    Kezhao **ong, Zhengxin Yan, You **e & Yixian Wang

  2. Institute of Physical and Engineering Science, Kunming University of Science and Technology, Kunming, 650500, People’s Republic of China

    Chunhua Zeng

  3. School of Physics and Electronic Science, East China Normal University, Shanghai, 200062, People’s Republic of China

    Zonghua Liu

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  1. Kezhao **ong
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  2. Zhengxin Yan
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  3. You **e
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  6. Zonghua Liu
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Correspondence to Kezhao **ong.

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**ong, K., Yan, Z., **e, Y. et al. Heat flux localization and abnormal size effect induced by multi-body vibration in complex networks. Nonlinear Dyn 110, 2771–2779 (2022). https://doi.org/10.1007/s11071-022-07684-0

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