Contact Changes near Jamming
arXiv:1404.3156 · doi:10.1103/PhysRevE.90.020202
Abstract
We probe the onset and effect of contact changes in soft harmonic particle packings which are sheared quasistatically. We find that the first contact changes are the creation or breaking of contacts on a single particle. We characterize the critical strain, statistics of breaking versus making a contact, and ratio of shear modulus before and after such events, and explain their finite size scaling relations. For large systems at finite pressure, the critical strain vanishes but the ratio of shear modulus before and after a contact change approaches one: linear response remains relevant in large systems. For finite systems close to jamming the critical strain also vanishes, but here linear response already breaks down after a single contact change.
5 pages, 4 figures
References in corpus (30)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Amorphous Systems in Athermal, Quasistatic Shear
- Random Packings of Frictionless Particles
- Critical Scaling of Shear Viscosity at the Jamming Transition
- Vibrational modes identify soft spots in a sheared disordered packing
- Vibrations and diverging length scales near the unjamming transition
- Geometric origin of excess low-frequency vibrational modes in amorphous solids
- On the Rigidity of Amorphous Solids
- Critical scaling in linear response of frictionless granular packings near jamming
- Finite-Size Scaling at the Jamming Transition
- A Model for the Elasticity of Compressed Emulsions
- Avalanches in Strained Amorphous Solids: Does Inertia Destroy Critical Behavior?
- Stability at Random Close Packing
- Model for the Scaling of Stresses and Fluctuations in Flows near Jamming
- Do Athermal Amorphous Solids Exist?
- Soft Sphere Packings at Finite Pressure but Unstable to Shear
- Jamming in finite systems: stability, anisotropy, fluctuations and scaling
- Relaxations and rheology near jamming
- Shocks near Jamming
- Jaming and Geometry of Two-Dimensional Foams
- Jammed frictionless discs: connecting local and global response
- Dynamic criticality at the jamming transition
- Strain versus stress in a model granular material: a Devil's staircase
- Plastic response of a 2D amorphous solid to quasi-static shear : I - Transverse particle diffusion and phenomenology of dissipative events
- Size of Plastic Events in Strained Amorphous Solids at Finite Temperatures
- Uniform Shock Waves in Disordered Granular Matter
- Shock Waves in Weakly Compressed Granular Media
- Critical scalings and jamming in thermal colloidal systems
- Contact nonlinearities and linear response in jammed particulate packings
- Comment on 'Repulsive Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic'
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- Softening and Yielding of Soft Glassy Materials
- Mapping the jamming transition of bidisperse mixtures
- Beyond linear elasticity: Jammed solids at finite shear strain and rate
- Critical Scaling of Bagnold Rheology at the Jamming Transition of Frictionless Two Dimensional Disks
- Two classes of events in sheared particulate matter
- Stress relaxation above and below the jamming transition
- Coarsening and mechanics in the bubble model for wet foams
- Nonlocal elasticity near jamming
- Marginally jammed states of hard disks in a one-dimensional channel
- Master equation for the probability distribution functions of forces in soft particle packings
- Discontinuous change of shear modulus for frictional jammed granular materials
- Correlation of plastic events with local structure in jammed packings across spatial dimensions
- Contact Changes of Sheared Systems: Scaling, Correlations, and Mechanisms
- Softening and residual loss modulus of jammed grains under oscillatory shear in an absorbing state
- Scaling Theory for the Frictionless Unjamming Transition
- Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations
- The response of jammed packings to thermal fluctuations
- Excitation of vibrational soft modes in disordered systems using active oscillation
- Structural and mechanical characteristics of sphere packings near the jamming transition: From fully amorphous to quasi-ordered structures
- Attraction-induced jamming in the flow of foam through a channel
- Unified study of viscoelasticity and sound damping in hard and soft amorphous solids
- Learning-based approach to plasticity in athermal sheared amorphous packings: Improving softness