Jamming in finite systems: stability, anisotropy, fluctuations and scaling
arXiv:1406.1529 · doi:10.1103/PhysRevE.90.022138
Abstract
Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in pressure. As with any phase transition, the rounding of such behavior in finite systems close to the transition plays an important role in understanding the nature of the transition itself. The situation for jamming is surprisingly rich: the assumption that jammed packings are isotropic is only strictly true in the large-size limit, and finite-size has a profound effect on the very meaning of jamming. Here, we provide a comprehensive numerical study of finite-size effects in sphere packings above the jamming transition, focusing on stability as well as the scaling of the contact number and the elastic response.
20 pages, 12 figures
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Cited by in corpus (9)
- Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
- Rigidity Loss in Disordered Systems: Three Scenarios
- Contact Changes near Jamming
- Nonlocal elasticity near jamming
- A unified quantifier of mechanical disorder in solids
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- Note: Relaxation time below jamming
- Phonons and elasticity in critically coordinated lattices
- Criticality and marginal stability of the shear jamming transition of frictionless soft spheres