IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v180y2024ics0960077924000596.html
   My bibliography  Save this article

Topological transition between disordered patterns through heating rate-induced defect emergence

Author

Listed:
  • Fernandez-Gonzalez, Victor
  • Echeverría-Alar, Sebastián
  • Vergara, Jorge
  • Hidalgo, Paulina I.
  • Clerc, Marcel G.

Abstract

Macroscopic systems can exhibit disordered patterns, such as fingerprints, vegetation patterns, and dendrites, which have topological defects that characterize the pattern richness, but their self-organization is unknown. Here, we investigate the formation mechanisms, defect emergence, and topological transition between disordered patterns driven by the heating rate. Based on a thermally driven chiral nematic liquid crystal experiment, we identified the coexistence of two different types of patterns at the same temperature but different heating rates. A supercritical transition is revealed by measuring the density of pattern defects. The pairwise correlation length also suggests this transition. Theoretically, we account for this transition based on an amplitude equation with a chiral term that is valid close to the winding/unwinding transition. Likewise, a prototype model of pattern formation exhibits a similar transition, showing that the transition is universal and could be observed in magnetic, optical, fluid, chemical, and ecological systems.

Suggested Citation

  • Fernandez-Gonzalez, Victor & Echeverría-Alar, Sebastián & Vergara, Jorge & Hidalgo, Paulina I. & Clerc, Marcel G., 2024. "Topological transition between disordered patterns through heating rate-induced defect emergence," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000596
    DOI: 10.1016/j.chaos.2024.114508
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924000596
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114508?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. Quan-Xing Liu & Peter M. J. Herman & Wolf M. Mooij & Jef Huisman & Marten Scheffer & Han Olff & Johan van de Koppel, 2014. "Pattern formation at multiple spatial scales drives the resilience of mussel bed ecosystems," Nature Communications, Nature, vol. 5(1), pages 1-7, December.
    Full references (including those not matched with items on IDEAS)

    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. Yurek, Simeon & Eaton, Mitchell J. & Lavaud, Romain & Laney, R. Wilson & DeAngelis, Donald L. & Pine, William E. & La Peyre, Megan & Martin, Julien & Frederick, Peter & Wang, Hongqing & Lowe, Michael , 2021. "Modeling structural mechanics of oyster reef self-organization including environmental constraints and community interactions," Ecological Modelling, Elsevier, vol. 440(C).
    2. Anjos, Lucas dos & Costa, Michel Iskin da S. & Almeida, Regina C., 2020. "Characterizing the existence of hydra effect in spatial predator-prey models and the influence of functional response types and species dispersal," Ecological Modelling, Elsevier, vol. 428(C).
    3. Wang, Jin-Shan & Wu, Yong-Ping & Li, Li & Sun, Gui-Quan, 2020. "Effect of mobility and predator switching on the dynamical behavior of a predator-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    4. Roeland C. van de Vijsel & Jim van Belzen & Tjeerd J. Bouma & Daphne van der Wal & Bas W. Borsje & Stijn Temmerman & Loreta Cornacchia & Olivier Gourgue & Johan van de Koppel, 2023. "Vegetation controls on channel network complexity in coastal wetlands," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    5. Wu, Zeyan & Li, Jianjuan & Li, Jing & Liu, Shuying & Zhou, Liuting & Luo, Yang, 2017. "Pattern formations of an epidemic model with Allee effect and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 599-606.

    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:180:y:2024:i:c:s0960077924000596. 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.