Rigidity loss in disordered systems: Three scenarios

Wouter G. Ellenbroek, Varda F. Hagh, Avishek Kumar, Michael Thorpe, Martin Van Hecke

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


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.

Original languageEnglish (US)
Article number135501
JournalPhysical Review Letters
Issue number13
StatePublished - Apr 1 2015

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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