IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v157y2022ics096007792200145x.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792200145X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.111935?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Li, Yong & Guo, Wei & Du, Lu-Chun & Mei, Dong-Cheng, 2019. "Subdiffusion and ergodicity breaking in heterogeneous environments subject to Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 948-956.
    3. dos Santos, Maike A.F., 2019. "Analytic approaches of the anomalous diffusion: A review," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 86-96.
    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.
    5. Wang, Chun-Yang & Sun, Cui-Feng & Zhang, Hong & Yi, Ming & Sun, Zhao-peng, 2017. "Anomalous diffusion resulted from fractional damping," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 176-179.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. dos Santos, M.A.F. & Colombo, E.H. & Anteneodo, C., 2021. "Random diffusivity scenarios behind anomalous non-Gaussian diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Janczura, Joanna & Burnecki, Krzysztof & Muszkieta, Monika & Stanislavsky, Aleksander & Weron, Aleksander, 2022. "Classification of random trajectories based on the fractional Lévy stable motion," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Maike A. F. dos Santos, 2019. "Mittag–Leffler Memory Kernel in Lévy Flights," Mathematics, MDPI, vol. 7(9), pages 1-13, August.
    4. You, Feng & Yang, Han-Xin & Li, Yumeng & Du, Wenbo & Wang, Gang, 2023. "A modified Vicsek model based on the evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    5. 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).
    6. Wei, Q. & Yang, S. & Zhou, H.W. & Zhang, S.Q. & Li, X.N. & Hou, W., 2021. "Fractional diffusion models for radionuclide anomalous transport in geological repository systems," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    7. Wang, Xiaolong & Feng, Jing & Liu, Qi & Li, Yongge & Xu, Yong, 2022. "Neural network-based parameter estimation of stochastic differential equations driven by Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    8. Qiao, Le & Ilow, Nicholas & Ignacio, Maxime & Slater, Gary W., 2022. "An empirical method to characterize displacement distribution functions for anomalous and transient diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    9. Serrano, Alfredo Blanco & Allen-Perkins, Alfonso & Andrade, Roberto Fernandes Silva, 2022. "Efficient approach to time-dependent super-diffusive Lévy random walks on finite 2D-tori using circulant analogues," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    10. Alireza Khalili Golmankhaneh & Renat Timergalievich Sibatov, 2021. "Fractal Stochastic Processes on Thin Cantor-Like Sets," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
    11. Fodor, Étienne & Cristina Marchetti, M., 2018. "The statistical physics of active matter: From self-catalytic colloids to living cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 504(C), pages 106-120.
    12. Kelty-Stephen, Damian G. & Mangalam, Madhur, 2023. "Multifractal descriptors ergodically characterize non-ergodic multiplicative cascade processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    13. Xie, Jiaquan & Zhao, Fuqiang & He, Dongping & Shi, Wei, 2022. "Bifurcation and resonance of fractional cubic nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    14. Kelty-Stephen, Damian G. & Mangalam, Madhur, 2022. "Fractal and multifractal descriptors restore ergodicity broken by non-Gaussianity in time series," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    15. Aranda, Orestes Tumbarell & Penna, André L.A. & Oliveira, Fernando A., 2021. "Nonlocal pattern formation effects in evolutionary population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s096007792200145x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.