The jamming transition is a k-core percolation transition

Flaviano Morone, Kate Burleson-Lesser, H.A. Vinutha, Srikanth Sastry and Hernán A. Makse

Physica A: Statistical Mechanics and its Applications, 2019, vol. 516, issue C, 172-177

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.

Keywords: k-core; Jamming transition; Random network theory; Granular materials; Frictional packings (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:516:y:2019:i:c:p:172-177

DOI: 10.1016/j.physa.2018.10.035

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