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Collective motion of self-propelled particles with complex noise environments

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  • Zhang, Bing-Quan
  • Shao, Zhi-Gang

Abstract

Collective motion of self-propelled particles with complex noise environments is investigated via simulations based on the Vicsek model. In our model, self-propelled particles move in a square divided into one part with noise and the other without noise. Via simulations, it is found that the proportion of noise region p has an important impact on the collective motion of the system. Specifically, there is a transition at the critical pc. When ppc, the order parameter of synchronization rapidly decreases. More interestingly, the value of pc decreases as the noise amplitude η increases. Simultaneously, when ppc, the value of λ increases dramatically. Furthermore, pc gradually increases as the number of particles increases. Our results provide new sights into the study of collective motion in nature.

Suggested Citation

  • Zhang, Bing-Quan & Shao, Zhi-Gang, 2021. "Collective motion of self-propelled particles with complex noise environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    • Handle: RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120307305
    DOI: 10.1016/j.physa.2020.125382
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    References listed on IDEAS

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    1. Bhattacherjee, Biplab & Manna, S.S., 2019. "Band structure in collective motion with quenched range of interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    2. Ferdinandy, B. & Ozogány, K. & Vicsek, T., 2017. "Collective motion of groups of self-propelled particles following interacting leaders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 467-477.
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    Cited by:

    1. Qian, Jia-xin & Lu, Yan-qing, 2023. "The collective motion of self-propelled particles affected by the spatial-dependent noise based on Vicsek rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).

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