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Collective topological active particles: Non-ergodic superdiffusion and ageing in complex environments

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  • Shi, Hong-Da
  • Du, Lu-Chun
  • Huang, Fei-Jie
  • Guo, Wei

Abstract

We investigate the collective motion of active particles in complex environments. Two types of topological neighborhood, k-nearest neighbors and Voronoi tessellation, are considered, for each active particle interacts with other active particles or obstacles. By virtue of numerical simulations, we demonstrate the superdiffusion, ergodicity breaking and ageing in this system. The misalignment between the active particles and obstacles gives rise to the anisotropy of motion of topological active particles, and is the main mechanism of observed behaviors. Our work merges the non-ergodicity and superdiffusion and sheds light on the topological interaction of active particles in complex environments.

Suggested Citation

  • Shi, Hong-Da & Du, Lu-Chun & Huang, Fei-Jie & Guo, Wei, 2022. "Collective topological active particles: Non-ergodic superdiffusion and ageing in complex environments," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s096007792200145x
    DOI: 10.1016/j.chaos.2022.111935
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    1. Gorka Muñoz-Gil & Giovanni Volpe & Miguel Angel Garcia-March & Erez Aghion & Aykut Argun & Chang Beom Hong & Tom Bland & Stefano Bo & J. Alberto Conejero & Nicolás Firbas & Òscar Garibo i Orts & Aless, 2021. "Objective comparison of methods to decode anomalous diffusion," Nature Communications, Nature, vol. 12(1), pages 1-16, December.
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    4. Volker Schaller & Christoph Weber & Christine Semmrich & Erwin Frey & Andreas R. Bausch, 2010. "Polar patterns of driven filaments," Nature, Nature, vol. 467(7311), pages 73-77, September.
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    Cited by:

    1. Wang, Peng & Zhang, Yang & Zhang, Peng-Juan & Huo, Jie & Wang, Xu-Ming & Wang, Bing-Hong, 2023. "Nonequilibrium transport characteristics of substances in a rough potential field," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Guo, Wei & Liu, Ying-Zhou & Huang, Fei-Jie & Shi, Hong-Da & Du, Lu-Chun, 2023. "Brownian particles in a periodic potential corrugated by disorder: Anomalous diffusion and ergodicity breaking," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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