Rigidity Loss in Disordered Systems: Three Scenarios
Abstract
We reveal significant qualitative differences in the rigidity transition of three types of disordered network materials: randomly diluted spring networks, jammed sphere packings, and stress-relieved networks that are diluted using a protocol that avoids the appearance of floppy regions. The marginal state of jammed and stress-relieved networks are globally isostatic, while marginal randomly diluted networks show both overconstrained and underconstrained regions. When a single bond is added to or removed from these isostatic systems, jammed networks become globally overconstrained or floppy, whereas the effect on stress-relieved networks is more local and limited. These differences are also reflected in the linear elastic properties and point to the highly effective and unusual role of global self-organization in jammed sphere packings.
Cite
@article{arxiv.1412.0273,
title = {Rigidity Loss in Disordered Systems: Three Scenarios},
author = {Wouter G. Ellenbroek and Varda F. Hagh and Avishek Kumar and M. F. Thorpe and Martin van Hecke},
journal= {arXiv preprint arXiv:1412.0273},
year = {2015}
}
Comments
5 pages, 4 figures