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Mean-field theory of random close packings of axisymmetric particles

Author

Listed:
  • Adrian Baule

    (City College of New York
    School of Mathematical Sciences, Queen Mary University of London)

  • Romain Mari

    (City College of New York)

  • Lin Bo

    (City College of New York)

  • Louis Portal

    (City College of New York)

  • Hernán A. Makse

    (City College of New York)

Abstract

Finding the optimal random packing of non-spherical particles is an open problem with great significance in a broad range of scientific and engineering fields. So far, this search has been performed only empirically on a case-by-case basis, in particular, for shapes like dimers, spherocylinders and ellipsoids of revolution. Here we present a mean-field formalism to estimate the packing density of axisymmetric non-spherical particles. We derive an analytic continuation from the sphere that provides a phase diagram predicting that, for the same coordination number, the density of monodisperse random packings follows the sequence of increasing packing fractions: spheres

Suggested Citation

  • Adrian Baule & Romain Mari & Lin Bo & Louis Portal & Hernán A. Makse, 2013. "Mean-field theory of random close packings of axisymmetric particles," Nature Communications, Nature, vol. 4(1), pages 1-11, October.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3194
    DOI: 10.1038/ncomms3194
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    Cited by:

    1. Meng, Lingyi & Wang, Chao & Yao, Xiaohu, 2018. "Non-convex shape effects on the dense random packing properties of assembled rods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 212-221.
    2. Kyeyune-Nyombi, Eru & Morone, Flaviano & Liu, Wenwei & Li, Shuiqing & Gilchrist, M. Lane & Makse, Hernán A., 2018. "High-resolution of particle contacts via fluorophore exclusion in deep-imaging of jammed colloidal packings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1387-1395.

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