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Statistical laws of stick-slip friction at mesoscale

Author

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  • Caishan Yan

    (Hong Kong University of Science and Technology)

  • Hsuan-Yi Chen

    (National Central University
    National Center for Theoretical Sciences)

  • Pik-Yin Lai

    (National Central University
    National Center for Theoretical Sciences)

  • Penger Tong

    (Hong Kong University of Science and Technology)

Abstract

Friction between two rough solid surfaces often involves local stick-slip events occurring at different locations of the contact interface. If the apparent contact area is large, multiple local slips may take place simultaneously and the total frictional force is a sum of the pinning forces imposed by many asperities on the interface. Here, we report a systematic study of stick-slip friction over a mesoscale contact area using a hanging-beam lateral atomic-force-microscope, which is capable of resolving frictional force fluctuations generated by individual slip events and measuring their statistical properties at the single-slip resolution. The measured probability density functions (PDFs) of the slip length δxs, the maximal force Fc needed to trigger the local slips, and the local force gradient $${k}^{{\prime} }$$ k ′ of the asperity-induced pinning force field provide a comprehensive statistical description of stick-slip friction that is often associated with the avalanche dynamics at a critical state. In particular, the measured PDF of δxs obeys a power law distribution and the power-law exponent is explained by a new theoretical model for the under-damped spring-block motion under a Brownian-correlated pinning force field. This model provides a long-sought physical mechanism for the avalanche dynamics in stick-slip friction at mesoscale.

Suggested Citation

  • Caishan Yan & Hsuan-Yi Chen & Pik-Yin Lai & Penger Tong, 2023. "Statistical laws of stick-slip friction at mesoscale," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-41850-1
    DOI: 10.1038/s41467-023-41850-1
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    References listed on IDEAS

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    1. Yifei Mo & Kevin T. Turner & Izabela Szlufarska, 2009. "Friction laws at the nanoscale," Nature, Nature, vol. 457(7233), pages 1116-1119, February.
    2. Christopher H. Scholz, 1998. "Earthquakes and friction laws," Nature, Nature, vol. 391(6662), pages 37-42, January.
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    1. Ruiyun Li & Xing Yang & Jiacheng Li & Yongfu Wang & Ming Ma, 2024. "Macroscale, humidity-insensitive, and stable structural superlubricity achieved with hydrogen-free graphene nanoflakes," Nature Communications, Nature, vol. 15(1), pages 1-13, December.

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