title: 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.
authors.affiliation: Department of Applied Physics and Institute for Complex Molecular Systems, Eindhoven University of Technology, Postbus 513, NL-5600 MB Eindhoven, The Netherlands.
authors.forename: Wouter G
authors.initials: WG
authors.lastname: Ellenbroek
authors.affiliation: Department of Physics, Arizona State University, Tempe, Arizona 85287-1504, USA.
authors.forename: Varda F
authors.initials: VF
authors.lastname: Hagh
authors.affiliation: Department of Physics, Arizona State University, Tempe, Arizona 85287-1504, USA.
authors.forename: Avishek
authors.initials: A
authors.lastname: Kumar
authors.affiliation: Department of Physics, Arizona State University, Tempe, Arizona 85287-1504, USA.|Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, England.
authors.forename: M F
authors.initials: MF
authors.lastname: Thorpe
authors.affiliation: Huygens-Kamerlingh Onnes Lab, Universiteit Leiden, P.O. Box 9504, NL-2300 RA Leiden, The Netherlands.|FOM Institute AMOLF, Science Park 104, 1098 XG Amsterdam, The Netherlands.
authors.forename: Martin
authors.initials: M
authors.lastname: van Hecke
mesh_terms: D000465:Algorithms; D001704:Biopolymers / Q000737:chemistry; D004548:Elasticity; D008962:Models, Theoretical
chemical_list: D001704:Biopolymers