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Rotation-translation coupling of a double-headed Brownian motor in a traveling-wave potential

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Abstract

Considering a double-headed Brownian motor moving with both translational and rotational degrees of freedom, we investigate the directed transport properties of the system in a traveling-wave potential. It is found that the traveling wave provides the essential condition of the directed transport for the system, and at an appropriate angular frequency, the positive current can be optimized. A general current reversal appears by modulating the angular frequency of the traveling wave, noise intensity, external driving force and the rod length. By transforming the dynamical equation in traveling-wave potential into that in a tilted potential, the mechanism of current reversal is analyzed. For both cases of Gaussian and Lévy noises, the currents show similar dependence on the parameters. Moreover, the current in the tilted potential shows a typical stochastic resonance effect. The external driving force has also a resonance-like effect on the current in the tilted potential. But the current in the traveling-wave potential exhibits the reverse behaviors of that in the tilted potential. Besides, the currents obviously depend on the stability index of the Lévy noise under certain conditions.

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Acknowledgements

This work was supported by the Key Project of Beijing Institute of Graphic Communication, Beijing, China (No. Ea201702), the International Ability Improvement Project of Teaching Staff of Beijing Institute of Graphic Communication, Beijing, China (No. 12000400001), the National Natural Science Foundation of China (Grant No. 11875135), Quanzhou Scientific and Technological Foundation (No. 2018C085R), and the Innovation Teams in Functional Materials and Structural Mechanics of Hebei University of Architecture (No. TD202011).

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Authors and Affiliations

  1. Science Education Department, Beijing Institute of Graphic Communication, Beijing, 102600, China

    Wei-Xia Wu

  2. College of Science, Hebei University of Architecture, Zhangjiakou, 075000, China

    Chen-Pu Li

  3. School of Science, Tianjin University, Tianjin, 300072, China

    Yan-Li Song

  4. School of Science, Hebei University of Technology, Tianjin, 300401, China

    Ying-Rong Han

  5. Institute of Systems Science and College of Information Science and Engineering, Huaqiao University, Xiamen, 361021, China

    Zhi-Gang Zheng

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  1. Wei-Xia Wu
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Correspondence to Zhi-Gang Zheng.

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arXiv: 2103.09109. This article can also be found at http://journal.hep.com.cn/fop/EN/10.1007/s11467-021-1057-x.

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Wu, WX., Li, CP., Song, YL. et al. Rotation-translation coupling of a double-headed Brownian motor in a traveling-wave potential. Front. Phys. 16, 31500 (2021). https://doi.org/10.1007/s11467-021-1057-x

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