IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v643y2024ics0378437124003078.html
   My bibliography  Save this article

Switching particle systems for foraging ants showing phase transitions in path selections

Author

Listed:
  • Ezoe, Ayana
  • Morimoto, Saori
  • Tanaka, Yuya
  • Katori, Makoto
  • Nishimori, Hiraku

Abstract

Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the switching between these types of particles occurs randomly at a given transition rate. This paper explores how such stochastic processes involving multiple particles can model group behaviors of ants. Recent experimental research by the last author’s group has investigated how ants switch between two types of primarily relied cues to select foraging paths based on the current situation. Here, we propose a discrete-time interacting random walk model on a square lattice, incorporating two types of hopping rules. Numerical simulation results demonstrate global changes in selected homing paths, transitioning from trailing paths of the ‘pheromone road’ to nearly optimal paths depending on the switching parameters. By introducing two types of order parameters characterizing the dependence of homing duration distributions on switching parameters, we discuss these global changes as phase transitions in ant path selections. We also study critical phenomena associated with continuous phase transitions.

Suggested Citation

  • Ezoe, Ayana & Morimoto, Saori & Tanaka, Yuya & Katori, Makoto & Nishimori, Hiraku, 2024. "Switching particle systems for foraging ants showing phase transitions in path selections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    • Handle: RePEc:eee:phsmap:v:643:y:2024:i:c:s0378437124003078
    DOI: 10.1016/j.physa.2024.129798
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124003078
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2024.129798?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. Jay T. Lennon & Frank den Hollander & Maite Wilke-Berenguer & Jochen Blath, 2021. "Principles of seed banks and the emergence of complexity from dormancy," Nature Communications, Nature, vol. 12(1), pages 1-16, December.
    2. den Hollander, Frank & Nandan, Shubhamoy, 2022. "Spatially inhomogeneous populations with seed-banks: II. Clustering regime," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 116-146.
    3. Frank Hollander & Shubhamoy Nandan, 2022. "Spatially Inhomogeneous Populations with Seed-Banks: I. Duality, Existence and Clustering," Journal of Theoretical Probability, Springer, vol. 35(3), pages 1795-1841, September.
    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. den Hollander, Frank & Nandan, Shubhamoy, 2022. "Spatially inhomogeneous populations with seed-banks: II. Clustering regime," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 116-146.
    2. Blath, Jochen & Paul, Tobias & Tóbiás, András & Wilke Berenguer, Maite, 2024. "The impact of dormancy on evolutionary branching," Theoretical Population Biology, Elsevier, vol. 156(C), pages 66-76.
    3. Stefanie Imminger & Dimitri V. Meier & Arno Schintlmeister & Anton Legin & Jörg Schnecker & Andreas Richter & Osnat Gillor & Stephanie A. Eichorst & Dagmar Woebken, 2024. "Survival and rapid resuscitation permit limited productivity in desert microbial communities," Nature Communications, Nature, vol. 15(1), pages 1-17, December.

    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:phsmap:v:643:y:2024:i:c:s0378437124003078. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.