Rigidity loss in disordered systems: Three scenarios

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

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37 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
Publication statusPublished - Apr 1 2015


ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ellenbroek, W. G., Hagh, V. F., Kumar, A., Thorpe, M., & Van Hecke, M. (2015). Rigidity loss in disordered systems: Three scenarios. Physical Review Letters, 114(13), [135501]. https://doi.org/10.1103/PhysRevLett.114.135501