IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v632y2023ip1s037843712300866x.html
   My bibliography  Save this article

Structural and dynamical behavior of a vibrated granular system of hard-cubes

Author

Listed:
  • Elizondo-Aguilera, Luis Fernando
  • Carrillo Ríos, Abraham
  • Rodríguez-Liñán, Gustavo M.
  • López González, Francisco
  • Donado, Fernando
  • Pacheco Vázquez, Felipe

Abstract

We study experimentally and by molecular dynamics simulations a quasi-two-dimensional granular system of cubic particles, confined in a squared box and kept in a dynamic steady state via vertical oscillations. First, we compared the dynamics of a single spherical bead and a cube. Remarkably, the trajectory of the cube shows characteristics of Brownian motion induced by the particle geometry, i.e. an erratic path generated by the collisions of the vertexes and edges of the cube with the vibrated plate; in contrast to the more predicted ballistic motion of a spherical bead. Upon the addition of more cubic particles to the system, the erratic motion is enhanced by multiple collisions, leading to a rich collective behavior. As the number of particles is increased, for instance, both the radial distribution function and the mean square displacement exhibit the qualitative features of the gas, liquid and crystalline-solid phases observed in thermally driven colloidal systems. The results obtained with experiments and simulations are in good agreement and, combined, suggest that a vibrated system of granular cubic particles provides a macroscopic ideal model of Brownian motion.

Suggested Citation

  • Elizondo-Aguilera, Luis Fernando & Carrillo Ríos, Abraham & Rodríguez-Liñán, Gustavo M. & López González, Francisco & Donado, Fernando & Pacheco Vázquez, Felipe, 2023. "Structural and dynamical behavior of a vibrated granular system of hard-cubes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    • Handle: RePEc:eee:phsmap:v:632:y:2023:i:p1:s037843712300866x
    DOI: 10.1016/j.physa.2023.129311
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712300866X
    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.2023.129311?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. de Gennes, P.G., 1998. "Reflections on the mechanics of granular matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 267-293.
    2. López-González, F. & Pacheco-Vázquez, F. & Donado, F., 2023. "Ordering of a granular layer of cubes under strain-induced shear and vibration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    3. G. W. Baxter & J. S. Olafsen, 2003. "Gaussian statistics in granular gases," Nature, Nature, vol. 425(6959), pages 680-680, October.
    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. Yangrui Chen & Jie Zhang, 2024. "Anomalous flocking in nonpolar granular Brownian vibrators," Nature Communications, Nature, vol. 15(1), pages 1-7, 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:632:y:2023:i:p1:s037843712300866x. 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.