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arXiv · 1412.0273

Rigidity Loss in Disordered Systems: Three Scenarios

Wouter G. Ellenbroek·Varda F. Hagh·Avishek Kumar·M. F. Thorpe·Martin van Hecke
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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.

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Wouter G. Ellenbroek, Varda F. Hagh, Avishek Kumar, M. F. Thorpe, Martin van Hecke. 2015-04-01. Rigidity Loss in Disordered Systems: Three Scenarios. https://doi.org/10.1103/physrevlett.114.135501

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