IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v630y2023ics0378437123008130.html
   My bibliography  Save this article

Application of Fourier analysis to an ellipsoidal particle on a granular magnetic bath

Author

Listed:
  • Fossion, R.
  • Donado, F.
  • Jaguey-Hernández, Y.
  • Tapia-Ignacio, C.

Abstract

We employ a time-series approach to examine the motion of an ellipsoidal particle resting on an agitated granular bath composed of small magnetic spheres. We characterize the dynamics of the ellipsoidal particle by measuring the autocorrelations present in the time series of position x and angle θ using Fourier spectral analysis. We consider two different sizes of the ellipsoidal particle and different values of the constant magnetic field for the thermal bath. In all cases, power spectra follow a power law, P(f)∝1/fβ with β≈2, indicating scale invariance and Brownian-like motion for the corresponding time series. However, without a constant magnetic field, the scale invariance property is valid only for high values of the oscillating magnetic field. The present system constitutes an experimental model to generate correlated random walks.

Suggested Citation

  • Fossion, R. & Donado, F. & Jaguey-Hernández, Y. & Tapia-Ignacio, C., 2023. "Application of Fourier analysis to an ellipsoidal particle on a granular magnetic bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    • Handle: RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123008130
    DOI: 10.1016/j.physa.2023.129258
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123008130
    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.2023.129258?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. Su, Zhi-Yuan & Wu, Tzuyin, 2007. "Music walk, fractal geometry in music," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 418-428.
    2. Torres-Vargas, G. & Tapia-Ignacio, C. & Donado, F. & Fossion, R. & Santiago, J.A., 2021. "Emergence of scale invariance in the dynamics of an ellipsoidal particle on a granular magnetic bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    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. Zunino, L. & Pérez, D.G. & Kowalski, A. & Martín, M.T. & Garavaglia, M. & Plastino, A. & Rosso, O.A., 2008. "Fractional Brownian motion, fractional Gaussian noise, and Tsallis permutation entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6057-6068.
    2. Banerjee, Archi & Sanyal, Shankha & Roy, Souparno & Nag, Sayan & Sengupta, Ranjan & Ghosh, Dipak, 2021. "A novel study on perception–cognition scenario in music using deterministic and non-deterministic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(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:phsmap:v:630:y:2023:i:c:s0378437123008130. 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.