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Ratchet effect of interacting active particles induced by cross-correlated noises

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

Through theoretical analysis and numerical simulation, we investigate ratchet effect of active particles in biased velocity potential in the presence of cross-correlated noises. For a single active particle, the mean velocity and mobility suggest that cross-correlated noises can lead to the ratchet effect. The finding is interpreted by the time series, the rectified potential, mean square displacement, and the diffusion coefficient. The diffusion displays hyperdiffusion, superdiffusion, and normal diffusion for different conditions and time intervals. The crossover times that separates these stages can be controlled by cross-correlated noises and static force. For interacting active particles, we find through time series and average velocity that the weak interaction between particles, which leads to weak collective motion, can enhance the ratchet effect. However, the strong interaction, which results in strong collective motion, can weaken, even eliminate it. Our results may provide a valuable way to control the transport of active particles through the ratchet effect.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The paper contents are purely theoretical, and did not need any date.]

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Acknowledgements

This work was supported by the Yunnan Fundamental Research Projects (Grant nos. 2019FI002 and 202101AS070018), Yunnan Fundamental Research Projects (Grant no. 202101AV070015), Yunnan Province Ten Thousand Talents Plan Young & Elite Talents Project, and Yunnan Province Computational Physics and Applied Science and Technology Innovation Team.

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Authors and Affiliations

  1. Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China

    Yuwen Fang, Yuhui Luo, Tao Huang & Chunhua Zeng

  2. School of Physics and Information Engineering, Zhaotong University, Zhaotong, 657000, China

    Yuhui Luo

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  1. Yuwen Fang
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  2. Yuhui Luo
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  3. Tao Huang
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  4. Chunhua Zeng
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Contributions

YF has carried out all the calculations and prepared the initial form of the manuscript. YL revised the calculations and polished the the manuscript. TH analyzed the numerical data and revised the manuscript. CZ proposed the idea. All authors discussed the paper results.

Corresponding authors

Correspondence to Yuhui Luo or Chunhua Zeng.

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Fang, Y., Luo, Y., Huang, T. et al. Ratchet effect of interacting active particles induced by cross-correlated noises. Eur. Phys. J. B 95, 77 (2022). https://doi.org/10.1140/epjb/s10051-022-00335-8

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