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The jamming transition is a k-core percolation transition

Author

Listed:
  • Morone, Flaviano
  • Burleson-Lesser, Kate
  • Vinutha, H.A.
  • Sastry, Srikanth
  • Makse, Hernán A.

Abstract

We explain the structural origin of the jamming transition in jammed matter as the sudden appearance of k-cores at precise coordination numbers which are related not to the isostatic point, but to the emergence of the giant 3- and 4-cores as given by k-core percolation theory. At the transition, the k-core variables freeze and the k-core dominates the appearance of rigidity. Surprisingly, the 3-D simulation results can be explained with the result of mean-field k-core percolation in the Erdös–Rényi network. That is, the finite-dimensional transition seems to be explained by the infinite-dimensional k-core, implying that the structure of the jammed pack is compatible with a fully random network.

Suggested Citation

  • Morone, Flaviano & Burleson-Lesser, Kate & Vinutha, H.A. & Sastry, Srikanth & Makse, Hernán A., 2019. "The jamming transition is a k-core percolation transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 172-177.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:172-177
    DOI: 10.1016/j.physa.2018.10.035
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    Cited by:

    1. Lin, Jianjun & Chen, Huisu & Liu, Lin & Zhang, Rongling, 2020. "Impact of particle size ratio on the percolation thresholds of 2D bidisperse granular systems composed of overlapping superellipses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).

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