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Clustering-Induced Attraction in Granular Mixtures of Rods and Spheres

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  • Gustavo M Rodríguez-Liñán
  • Yuri Nahmad-Molinari
  • Gabriel Pérez-Ángel

Abstract

Depletion-induced aggregation of rods enhanced by clustering is observed to produce a novel model of attractive pairs of rods separated by a line of spheres in a quasi-2D, vertically-shaken, granular gas of rods and spheres. We show that the stability of these peculiar granular aggregates increases as a function of shaking intensity. Velocity distributions of spheres inside and outside of a pair of rods trapping a line of spheres show a clear suppression of the momentum acquired by the trapped spheres. The condensed phase formed between the rods is caused by a clustering instability of the trapped spheres, enhanced by a vertical guidance produced by the confining rods. The liberated area corresponding to direct excluded-volume pairs and indirect depletion-aggregated pairs is measured as a function of time. The stability of rod pairs mediated by spheres reveals an attraction comparable in strength to the one purely induced by depletion forces.

Suggested Citation

  • Gustavo M Rodríguez-Liñán & Yuri Nahmad-Molinari & Gabriel Pérez-Ángel, 2016. "Clustering-Induced Attraction in Granular Mixtures of Rods and Spheres," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-11, May.
    • Handle: RePEc:plo:pone00:0156153
    DOI: 10.1371/journal.pone.0156153
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    References listed on IDEAS

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    1. Marie Adams & Zvonimir Dogic & Sarah L. Keller & Seth Fraden, 1998. "Entropically driven microphase transitions in mixtures of colloidal rods and spheres," Nature, Nature, vol. 393(6683), pages 349-352, May.
    2. Shida, Koichiro & Kawai, Toshio, 1989. "Cluster formation by inelastically colliding particles in one-dimensional space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(1), pages 145-160.
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