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

Author

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  • 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
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    References listed on IDEAS

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    1. 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).
    2. 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.
    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)

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