The jamming transition is a k-core percolation transition
Soft Condensed Matter
2018-11-14 v1
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.
Cite
@article{arxiv.1804.07804,
title = {The jamming transition is a k-core percolation transition},
author = {Flaviano Morone and Kate Burleson-Lesser and H. A. Vinutha and Srikanth Sastry and Hernan A. Makse},
journal= {arXiv preprint arXiv:1804.07804},
year = {2018}
}
Comments
5 pages, 3 figures