IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v662y2025ics0378437125000639.html
   My bibliography  Save this article

Active diffusion model and dynamic structure factor of self-propelled particles in a three parameters fluctuating Mittag-Leffler fluid

Author

Listed:
  • Rodríguez, R.F.
  • Gomez-Solano, J.R.
  • Fujioka, J.

Abstract

In this work, we generalize a hydrodynamical model we have proposed in previous work to calculate analytically the time-dependent diffusion coefficient, and the light scattering structure factor of a dilute suspension of active particles self-propelling through a fluctuating linear, viscoelastic fluid. This generalization considers that the internal additive fluctuations acting on this active suspension are modeled by a three-parameter Mittag-Leffler function. We describe the dynamics of the fluctuations in terms of a generalized Langevin equation. Using a generalized Stokes-Einstein relation, we describe the behavior of the particle’s frequency-dependent diffusion coefficient and the Rayleigh component of the light scattering structure, for more general viscoelasticity than Maxwell’s exponential behavior. The behavior of these properties of the suspended particles as a function of the parameters characterizing the time-memory and the internal noise correlation is analyzed.

Suggested Citation

  • Rodríguez, R.F. & Gomez-Solano, J.R. & Fujioka, J., 2025. "Active diffusion model and dynamic structure factor of self-propelled particles in a three parameters fluctuating Mittag-Leffler fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 662(C).
  • Handle: RePEc:eee:phsmap:v:662:y:2025:i:c:s0378437125000639
    DOI: 10.1016/j.physa.2025.130411
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125000639
    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.2025.130411?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.

    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:662:y:2025:i:c:s0378437125000639. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.