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arXiv · 1804.07804

The jamming transition is a k-core percolation transition

Flaviano Morone·Kate Burleson-Lesser·H. A. Vinutha·Srikanth Sastry·Hernan A. Makse
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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 sudden emergence of the 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 Erdos-Renyi 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.

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Flaviano Morone, Kate Burleson-Lesser, H. A. Vinutha, Srikanth Sastry, Hernan A. Makse. 2018-04-20. The jamming transition is a k-core percolation transition. https://doi.org/10.1016/j.physa.2018.10.035

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