On the rigidity of amorphous solids
Ann. Phys. Fr., 30 3 (2005) 1-96
Published online: 2006-03-28
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Ultrasound-induced dense granular flows: a two-time scale modelling
H.A. Martin, A. Mangeney, X. Jia, B. Maury, A. Lefebvre-Lepot, Y. Maday and P. DérandJournal of Fluid Mechanics 1004 (2025)
https://doi.org/10.1017/jfm.2024.1159
A link between anomalous viscous loss and the boson peak in soft jammed solids
Yusuke Hara, Ryosuke Matsuoka, Hiroyuki Ebata, Daisuke Mizuno and Atsushi IkedaNature Physics 21 (2) 262 (2025)
https://doi.org/10.1038/s41567-024-02722-7
Effects of shear stability and residual stresses in computer glasses
Edan LernerJournal of Applied Physics 137 (4) (2025)
https://doi.org/10.1063/5.0246245
Unified study of viscoelasticity and sound damping in hard and soft amorphous solids
Hideyuki Mizuno, Kuniyasu Saitoh, Yusuke Hara and Atsushi IkedaCommunications Physics 8 (1) (2025)
https://doi.org/10.1038/s42005-025-01933-5
Integrating local energetics into Maxwell-Calladine constraint counting to design mechanical metamaterials
Jason W. Rocks and Pankaj MehtaPhysical Review E 110 (2) (2024)
https://doi.org/10.1103/PhysRevE.110.025002
Elasticity of self-organized frustrated disordered spring networks
Tommaso Pettinari, Gustavo During and Edan LernerPhysical Review E 109 (5) (2024)
https://doi.org/10.1103/PhysRevE.109.054906
Scaling regimes and fluctuations of observables in computer glasses approaching the unjamming transition
Julia A. Giannini, Edan Lerner, Francesco Zamponi and M. Lisa ManningThe Journal of Chemical Physics 160 (3) (2024)
https://doi.org/10.1063/5.0176713
Soft matter physics of the ground beneath our feet
Anne Voigtländer, Morgane Houssais, Karol A. Bacik, Ian C. Bourg, Justin C. Burton, Karen E. Daniels, Sujit S. Datta, Emanuela Del Gado, Nakul S. Deshpande, Olivier Devauchelle, Behrooz Ferdowsi, Rachel Glade, Lucas Goehring, Ian J. Hewitt, Douglas Jerolmack, Ruben Juanes, Arshad Kudrolli, Ching-Yao Lai, Wei Li, Claire Masteller, Kavinda Nissanka, Allan M. Rubin, Howard A. Stone, Jenny Suckale, Nathalie M. Vriend, et al.Soft Matter 20 (30) 5859 (2024)
https://doi.org/10.1039/D4SM00391H
Partition sum of thermal, underconstrained systems
Cheng-Tai Lee and Matthias MerkelPhysical Review E 110 (6) (2024)
https://doi.org/10.1103/PhysRevE.110.064147
Intermediate phase between jammed and unjammed amorphous solids
Yuliang Jin, Itamar Procaccia and Tuhin SamantaPhysical Review E 109 (1) (2024)
https://doi.org/10.1103/PhysRevE.109.014902
Effects of coordination and stiffness scale separation in disordered elastic networks
Edan LernerPhysical Review E 109 (5) (2024)
https://doi.org/10.1103/PhysRevE.109.054904
Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations
Yue Deng, Deng Pan and Yuliang JinNature Communications 15 (1) (2024)
https://doi.org/10.1038/s41467-024-51319-4
Stress correlations in near-crystalline packings
Roshan Maharana and Kabir RamolaSciPost Physics 17 (1) (2024)
https://doi.org/10.21468/SciPostPhys.17.1.012
298 (2024)
https://doi.org/10.1016/B978-0-323-90800-9.00166-9
Self-driven configurational dynamics in frustrated spring-mass systems
Ori Saporta-Katz and Avraham MorielPhysical Review E 109 (2) (2024)
https://doi.org/10.1103/PhysRevE.109.024219
Non-affinity: The emergence of networks from amorphous planar graphs
Xiangying Shen, Guimei Zhu and Baowen LiScience China Physics, Mechanics & Astronomy 66 (6) (2023)
https://doi.org/10.1007/s11433-022-2068-9
From jammed solids to mechanical metamaterials : A brief review
Junchao Huang, Jianhua Zhang, Ding Xu, et al.Current Opinion in Solid State and Materials Science 27 (1) 101053 (2023)
https://doi.org/10.1016/j.cossms.2022.101053
Stability of a tilted granular monolayer: How many spheres can we pick before the collapse?
Eduardo Rojas, Héctor Alarcón, Vicente Salinas, Gustavo Castillo and Pablo GutiérrezPhysical Review E 108 (6) (2023)
https://doi.org/10.1103/PhysRevE.108.064904
Eigenvalue analysis of stress-strain curve of two-dimensional amorphous solids of dispersed frictional grains with finite shear strain
Daisuke Ishima, Kuniyasu Saitoh, Michio Otsuki and Hisao HayakawaPhysical Review E 107 (3) (2023)
https://doi.org/10.1103/PhysRevE.107.034904
Local and global measures of the shear moduli of jammed disk packings
Shiyun Zhang, Weiwei Jin, Dong Wang, Ding Xu, Jerry Zhang, Mark D. Shattuck and Corey S. O'HernPhysical Review E 107 (5) (2023)
https://doi.org/10.1103/PhysRevE.107.054903
Range and strength of mechanical interactions of force dipoles in elastic fiber networks
Abhinav Kumar, David A. Quint and Kinjal DasbiswasSoft Matter 19 (30) 5805 (2023)
https://doi.org/10.1039/D3SM00381G
An exact expression of three-body system for the complex shear modulus of frictional granular materials
Michio Otsuki and Hisao HayakawaSoft Matter 19 (11) 2127 (2023)
https://doi.org/10.1039/D2SM01565J
Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime
Daisuke Ishima, Kuniyasu Saitoh, Michio Otsuki and Hisao HayakawaPhysical Review E 107 (5) (2023)
https://doi.org/10.1103/PhysRevE.107.054902
Shear hardening in frictionless amorphous solids near the jamming transition
Deng Pan, Fanlong Meng, Yuliang Jin and Cristina H AmonPNAS Nexus 2 (3) (2023)
https://doi.org/10.1093/pnasnexus/pgad047
1015 53 (2023)
https://doi.org/10.1007/978-3-031-24706-4_2
Anomalous linear elasticity of disordered networks
Edan Lerner and Eran BouchbinderSoft Matter 19 (6) 1076 (2023)
https://doi.org/10.1039/D2SM01253G
Scaling theory of critical strain-stiffening in disordered elastic networks
Edan Lerner and Eran BouchbinderExtreme Mechanics Letters 65 102104 (2023)
https://doi.org/10.1016/j.eml.2023.102104
A general structural order parameter for the amorphous solidification of a supercooled liquid
Gang Sun and Peter HarrowellThe Journal of Chemical Physics 157 (2) (2022)
https://doi.org/10.1063/5.0094386
Scaling to zero of compressive modulus in disordered isostatic cubic networks
Cristian F. Moukarzel and Gerardo G. NaumisPhysical Review E 106 (3) (2022)
https://doi.org/10.1103/PhysRevE.106.035001
Criticality and marginal stability of the shear jamming transition of frictionless soft spheres
Varghese Babu and Srikanth SastryPhysical Review E 105 (4) (2022)
https://doi.org/10.1103/PhysRevE.105.L042901
Universality of stress-anisotropic and stress-isotropic jamming of frictionless spheres in three dimensions: Uniaxial versus isotropic compression
Anton Peshkov and S. TeitelPhysical Review E 105 (2) (2022)
https://doi.org/10.1103/PhysRevE.105.024902
Emergent power-law interactions in near-crystalline membranes
Pappu Acharya, Debankur Das, Surajit Sengupta and Kabir RamolaPhysical Review E 106 (5) (2022)
https://doi.org/10.1103/PhysRevE.106.L052902
Emergent Physics on the Route from Crystals to Amorphous Solids
Zhehua Jiang and Ning XuChinese Journal of Chemistry 40 (9) 1091 (2022)
https://doi.org/10.1002/cjoc.202100816
Phonon transport properties of particulate physical gels
Hideyuki Mizuno, Makoto Hachiya and Atsushi IkedaThe Journal of Chemical Physics 156 (20) (2022)
https://doi.org/10.1063/5.0090233
Athermal fluctuations in three dimensional disordered crystals
Roshan MaharanaJournal of Statistical Mechanics: Theory and Experiment 2022 (10) 103201 (2022)
https://doi.org/10.1088/1742-5468/ac9466
Shear response of granular packings compressed above jamming onset
Philip Wang, Shiyun Zhang, Philip Tuckman, Nicholas T. Ouellette, Mark D. Shattuck and Corey S. O'HernPhysical Review E 103 (2) (2021)
https://doi.org/10.1103/PhysRevE.103.022902
Structural, mechanical, and vibrational properties of particulate physical gels
Hideyuki Mizuno, Makoto Hachiya and Atsushi IkedaThe Journal of Chemical Physics 155 (23) (2021)
https://doi.org/10.1063/5.0072863
Mean-Field Predictions of Scaling Prefactors Match Low-Dimensional Jammed Packings
James D. Sartor, Sean A. Ridout and Eric I. CorwinPhysical Review Letters 126 (4) (2021)
https://doi.org/10.1103/PhysRevLett.126.048001
Memory Formation in Jammed Hard Spheres
Patrick Charbonneau and Peter K. MorsePhysical Review Letters 126 (8) (2021)
https://doi.org/10.1103/PhysRevLett.126.088001
Landscape and training regimes in deep learning
Mario Geiger, Leonardo Petrini and Matthieu WyartPhysics Reports 924 1 (2021)
https://doi.org/10.1016/j.physrep.2021.04.001
Unified quantifier of mechanical disorder in solids
Geert Kapteijns, Eran Bouchbinder and Edan LernerPhysical Review E 104 (3) (2021)
https://doi.org/10.1103/PhysRevE.104.035001
Internally Stressed and Positionally Disordered Minimal Complexes Yield Glasslike Nonphononic Excitations
Avraham MorielPhysical Review Letters 126 (8) (2021)
https://doi.org/10.1103/PhysRevLett.126.088004
Complex Media and Percolation Theory
Phillip M. DuxburyComplex Media and Percolation Theory 343 (2021)
https://doi.org/10.1007/978-1-0716-1457-0_170
Stress Relaxation above and below the Jamming Transition
Kuniyasu Saitoh, Takahiro Hatano, Atsushi Ikeda and Brian P. TighePhysical Review Letters 124 (11) (2020)
https://doi.org/10.1103/PhysRevLett.124.118001
Finite size effects in critical fiber networks
Sadjad Arzash, Jordan L. Shivers and Fred C. MacKintoshSoft Matter 16 (29) 6784 (2020)
https://doi.org/10.1039/D0SM00764A
Simple argument for emergent anisotropic stress correlations in disordered solids
Edan LernerThe Journal of Chemical Physics 153 (21) (2020)
https://doi.org/10.1063/5.0034728
Anharmonic properties of vibrational excitations in amorphous solids
Hideyuki Mizuno, Masanari Shimada and Atsushi IkedaPhysical Review Research 2 (1) (2020)
https://doi.org/10.1103/PhysRevResearch.2.013215
Elasticity of jammed packings of sticky disks
Dion J. Koeze, Lingtjien Hong, Abhishek Kumar and Brian P. TighePhysical Review Research 2 (3) (2020)
https://doi.org/10.1103/PhysRevResearch.2.032047
Marginally jammed states of hard disks in a one-dimensional channel
Yuxiao Zhang, M. J. Godfrey and M. A. MoorePhysical Review E 102 (4) (2020)
https://doi.org/10.1103/PhysRevE.102.042614
Pinching a glass reveals key properties of its soft spots
Corrado Rainone, Eran Bouchbinder and Edan LernerProceedings of the National Academy of Sciences 117 (10) 5228 (2020)
https://doi.org/10.1073/pnas.1919958117
Critical energy landscape of linear soft spheres
Silvio Franz, Antonio Sclocchi and Pierfrancesco UrbaniSciPost Physics 9 (1) (2020)
https://doi.org/10.21468/SciPostPhys.9.1.012
Jamming with Tunable Roughness
Harukuni Ikeda, Carolina Brito, Matthieu Wyart and Francesco ZamponiPhysical Review Letters 124 (20) (2020)
https://doi.org/10.1103/PhysRevLett.124.208001
Two-Scale Scenario of Rigidity Percolation of Sticky Particles
Yuchuan Wang, Sheng Fang, Ning Xu and Youjin DengPhysical Review Letters 124 (25) (2020)
https://doi.org/10.1103/PhysRevLett.124.255501
Jamming and replica symmetry breaking of weakly disordered crystals
Harukuni IkedaPhysical Review Research 2 (3) (2020)
https://doi.org/10.1103/PhysRevResearch.2.033220
Jamming Below Upper Critical Dimension
Harukuni IkedaPhysical Review Letters 125 (3) (2020)
https://doi.org/10.1103/PhysRevLett.125.038001
Dynamic length scales in athermal, shear-driven jamming of frictionless disks in two dimensions
Peter Olsson and S. TeitelPhysical Review E 102 (4) (2020)
https://doi.org/10.1103/PhysRevE.102.042906
Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear
Michio Otsuki and Hisao HayakawaPhysical Review E 101 (3) (2020)
https://doi.org/10.1103/PhysRevE.101.032905
Mechanical and Vibrational Properties of Three-Dimensional Dimer Packings Near the Jamming Transition
Kumpei Shiraishi, Hideyuki Mizuno and Atsushi IkedaJournal of the Physical Society of Japan 89 (7) 074603 (2020)
https://doi.org/10.7566/JPSJ.89.074603
Can a Large Packing be Assembled from Smaller Ones?
Daniel Hexner, Pierfrancesco Urbani and Francesco ZamponiPhysical Review Letters 123 (6) (2019)
https://doi.org/10.1103/PhysRevLett.123.068003
Jamming transition as a paradigm to understand the loss landscape of deep neural networks
Mario Geiger, Stefano Spigler, Stéphane d'Ascoli, et al.Physical Review E 100 (1) (2019)
https://doi.org/10.1103/PhysRevE.100.012115
Characterizing nonaffinity upon decompression of soft-sphere packings
Stefan Kooij and Edan LernerPhysical Review E 100 (4) (2019)
https://doi.org/10.1103/PhysRevE.100.042609
Directed aging, memory, and nature’s greed
Nidhi Pashine, Daniel Hexner, Andrea J. Liu and Sidney R. NagelScience Advances 5 (12) (2019)
https://doi.org/10.1126/sciadv.aax4215
Forecasting failure locations in 2-dimensional disordered lattices
Estelle Berthier, Mason A. Porter and Karen E. DanielsProceedings of the National Academy of Sciences 116 (34) 16742 (2019)
https://doi.org/10.1073/pnas.1900272116
A jamming transition from under- to over-parametrization affects generalization in deep learning
S Spigler, M Geiger, S d’Ascoli, et al.Journal of Physics A: Mathematical and Theoretical 52 (47) 474001 (2019)
https://doi.org/10.1088/1751-8121/ab4c8b
Jamming and Glass Transitions
Ada AltieriSpringer Theses, Jamming and Glass Transitions 1 (2019)
https://doi.org/10.1007/978-3-030-23600-7_1
Biomechanical Feedback Strengthens Jammed Cellular Packings
Pawel Gniewek, Carl F. Schreck and Oskar HallatschekPhysical Review Letters 122 (20) (2019)
https://doi.org/10.1103/PhysRevLett.122.208102
Simulating morphologies of organic semiconductors by exploiting low-frequency vibrational modes
Alexander R. Smith, Ian R. Thompson and Alison B. WalkerThe Journal of Chemical Physics 150 (16) (2019)
https://doi.org/10.1063/1.5088895
Viewing Earth’s surface as a soft-matter landscape
Douglas J. Jerolmack and Karen E. DanielsNature Reviews Physics 1 (12) 716 (2019)
https://doi.org/10.1038/s42254-019-0111-x
The physics of jamming for granular materials: a review
Robert P Behringer and Bulbul ChakrabortyReports on Progress in Physics 82 (1) 012601 (2019)
https://doi.org/10.1088/1361-6633/aadc3c
Noise amplification in frictional systems: Oscillatory instabilities
Joyjit Chattoraj, Oleg Gendelman, Massimo Pica Ciamarra and Itamar ProcacciaPhysical Review E 100 (4) (2019)
https://doi.org/10.1103/PhysRevE.100.042901
Mesoscale Models
Jean-Noël RouxCISM International Centre for Mechanical Sciences, Mesoscale Models 587 141 (2019)
https://doi.org/10.1007/978-3-319-94186-8_4
Constraint satisfaction mechanisms for marginal stability and criticality in large ecosystems
Ada Altieri and Silvio FranzPhysical Review E 99 (1) (2019)
https://doi.org/10.1103/PhysRevE.99.010401
Jamming and Glass Transitions
Ada AltieriSpringer Theses, Jamming and Glass Transitions 45 (2019)
https://doi.org/10.1007/978-3-030-23600-7_3
Fast generation of ultrastable computer glasses by minimization of an augmented potential energy
Geert Kapteijns, Wencheng Ji, Carolina Brito, Matthieu Wyart and Edan LernerPhysical Review E 99 (1) (2019)
https://doi.org/10.1103/PhysRevE.99.012106
Jamming and irreversibility
Julia Boschan, Stefan Luding and Brian P. TigheGranular Matter 21 (3) (2019)
https://doi.org/10.1007/s10035-019-0911-9
Gardner physics in amorphous solids and beyond
Ludovic Berthier, Giulio Biroli, Patrick Charbonneau, Eric I. Corwin, Silvio Franz and Francesco ZamponiThe Journal of Chemical Physics 151 (1) (2019)
https://doi.org/10.1063/1.5097175
Phase Behaviors of Soft-core Particle Systems
Ning XuChinese Journal of Polymer Science 37 (11) 1065 (2019)
https://doi.org/10.1007/s10118-019-2304-2
Jamming and Glass Transitions
Ada AltieriSpringer Theses, Jamming and Glass Transitions 65 (2019)
https://doi.org/10.1007/978-3-030-23600-7_4
Comparing dynamics: deep neural networks versus glassy systems
Marco Baity-Jesi, Levent Sagun, Mario Geiger, et al.Journal of Statistical Mechanics: Theory and Experiment 2019 (12) 124013 (2019)
https://doi.org/10.1088/1742-5468/ab3281
Self-stresses control stiffness and stability in overconstrained disordered networks
Anwesha Bose, Mathijs F. J. Vermeulen, Cornelis Storm and Wouter G. EllenbroekPhysical Review E 99 (2) (2019)
https://doi.org/10.1103/PhysRevE.99.023001
Theory for Swap Acceleration near the Glass and Jamming Transitions for Continuously Polydisperse Particles
Carolina Brito, Edan Lerner and Matthieu WyartPhysical Review X 8 (3) (2018)
https://doi.org/10.1103/PhysRevX.8.031050
Elasticity and plasticity of disordered systems, a statistical physics perspective
Jean-Louis BarratPhysica A: Statistical Mechanics and its Applications 504 20 (2018)
https://doi.org/10.1016/j.physa.2017.11.146
Higher-order corrections to the effective potential close to the jamming transition in the perceptron model
Ada AltieriPhysical Review E 97 (1) (2018)
https://doi.org/10.1103/PhysRevE.97.012103
Two Diverging Length Scales in the Structure of Jammed Packings
Daniel Hexner, Andrea J. Liu and Sidney R. NagelPhysical Review Letters 121 (11) (2018)
https://doi.org/10.1103/PhysRevLett.121.115501
Network analysis of particles and grains
Lia Papadopoulos, Mason A Porter, Karen E Daniels and Danielle S BassettJournal of Complex Networks 6 (4) 485 (2018)
https://doi.org/10.1093/comnet/cny005
Mean-field model for the density of states of jammed soft spheres
Fernanda P. C. Benetti, Giorgio Parisi, Francesca Pietracaprina and Gabriele SicuroPhysical Review E 97 (6) (2018)
https://doi.org/10.1103/PhysRevE.97.062157
Disorder-free spin glass transitions and jamming in exactly solvable mean-field models
Hajime YoshinoSciPost Physics 4 (6) (2018)
https://doi.org/10.21468/SciPostPhys.4.6.040
Linking microscopic and macroscopic response in disordered solids
Daniel Hexner, Andrea J. Liu and Sidney R. NagelPhysical Review E 97 (6) (2018)
https://doi.org/10.1103/PhysRevE.97.063001
Entropy favors heterogeneous structures of networks near the rigidity threshold
Le YanNature Communications 9 (1) (2018)
https://doi.org/10.1038/s41467-018-03859-9
Sticky Matters: Jamming and Rigid Cluster Statistics with Attractive Particle Interactions
Dion J. Koeze and Brian P. TighePhysical Review Letters 121 (18) (2018)
https://doi.org/10.1103/PhysRevLett.121.188002
Spin-glass-like aging in colloidal and granular glasses
Beatriz Seoane and Francesco ZamponiSoft Matter 14 (25) 5222 (2018)
https://doi.org/10.1039/C8SM00859K
Crossover between Athermal Jamming and the Thermal Glass Transition of Suspensions
M. Dinkgreve, M. A. J. Michels, T. G. Mason and D. BonnPhysical Review Letters 121 (22) (2018)
https://doi.org/10.1103/PhysRevLett.121.228001
Sounds of Failure: Passive Acoustic Measurements of Excited Vibrational Modes
Theodore A. Brzinski and Karen E. DanielsPhysical Review Letters 120 (21) (2018)
https://doi.org/10.1103/PhysRevLett.120.218003
A characteristic energy scale in glasses
Edan Lerner and Eran BouchbinderThe Journal of Chemical Physics 148 (21) (2018)
https://doi.org/10.1063/1.5024776
Edwards statistical mechanics for jammed granular matter
Adrian Baule, Flaviano Morone, Hans J. Herrmann and Hernán A. MakseReviews of Modern Physics 90 (1) (2018)
https://doi.org/10.1103/RevModPhys.90.015006
Liu-Nagel phase diagrams in infinite dimension
Giulio Biroli and Pierfrancesco UrbaniSciPost Physics 4 (4) (2018)
https://doi.org/10.21468/SciPostPhys.4.4.020
Frustration-induced internal stresses are responsible for quasilocalized modes in structural glasses
Edan Lerner and Eran BouchbinderPhysical Review E 97 (3) (2018)
https://doi.org/10.1103/PhysRevE.97.032140
Role of local response in manipulating the elastic properties of disordered solids by bond removal
Daniel Hexner, Andrea J. Liu and Sidney R. NagelSoft Matter 14 (2) 312 (2018)
https://doi.org/10.1039/C7SM01727H
Performance Degradation of Flexible Si Nanomembrane Transistors With Al2O3 and SiO2 Dielectrics Under Mechanical Stress
Seung-Yoon Kim, Jae Hoon Bong, Dong Jun Kim, et al.IEEE Transactions on Electron Devices 65 (7) 3069 (2018)
https://doi.org/10.1109/TED.2018.2831705
Edge mode amplification in disordered elastic networks
Le Yan, Jean-Philippe Bouchaud and Matthieu WyartSoft Matter 13 (34) 5795 (2017)
https://doi.org/10.1039/C7SM00475C