Contact nonlinearities and linear response in jammed particulate packings
arXiv:1402.6206 · doi:10.1103/PhysRevE.90.022201
Abstract
Packings of frictionless athermal particles that interact only when they overlap experience a jamming transition as a function of packing density. Such packings provide the foundation for the theory of jamming. This theory rests on the observation that, despite the multitude of disordered configurations, the mechanical response to linear order depends only on the distance to the transition. We investigate the validity and utility of such measurements that invoke the harmonic approximation and show that, despite particles coming in and out of contact, there is a well-defined linear regime in the thermodynamic limit.
11 pages, 3 figures; title has changed since initial version
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Cited by in corpus (11)
- Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition
- Softening and Yielding of Soft Glassy Materials
- Elastic Moduli and Vibrational Modes in Jammed Particulate Packings
- Beyond linear elasticity: Jammed solids at finite shear strain and rate
- Contact Changes near Jamming
- Cut-off nonlinearities in the low-temperature vibrations of glasses and crystals
- Contact Changes of Sheared Systems: Scaling, Correlations, and Mechanisms
- The response of jammed packings to thermal fluctuations
- Echoes from Anharmonic Normal Modes in Model Glasses
- Drastic slowdown of shear waves in unjammed granular suspensions
- Unearthing the anticrystal: criticality in the linear response of disordered solids