The Jamming point street-lamp in the world of granular media

Abstract

The Jamming of soft spheres at zero temperature, the J-point, has been extensively studied both numerically and theoretically and can now be considered as a safe location in the space of models, where a street lamp has been lit up. However, a recent work by Ikeda et al, 2013 reveals that, in the Temperature/Packing fraction parameter space, experiments on colloids are actually rather far away from the scaling regime illuminated by this lamp. Is it that the J-point has little to say about real system? What about granular media? Such a-thermal, frictional, systems are a-priori even further away from the idealized case of thermal soft spheres. In the past ten years, we have systematically investigated horizontally shaken grains in the vicinity of the Jamming transition. We discuss the above issue in the light of very recent experimental results. First, we demonstrate that the contact network exhibits a remarkable dynamics, with strong heterogeneities, which are maximum at a packing fraction phi star, distinct and smaller than the packing fraction phi dagger, where the average number of contact per particle starts to increase. The two cross-overs converge at point J in the zero mechanical excitation limit. Second, a careful analysis of the dynamics on time scales ranging from a minute fraction of the vibration cycle to several thousands of cycles allows us to map the behaviors of this shaken granular system onto those observed for thermal soft spheres and demonstrate that some light of the J-point street-lamp indeed reaches the granular universe.

20 pages, 23 figures, submitted to Soft Matter

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• Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
• Memory of jamming - multiscale models for soft and granular matter
• The structural origin of the hard-sphere glass transition in granular packing
• Experimental evidences of the Gardner phase in a granular glass
• Theory of the Jamming Transition at Finite Temperature
• Shear modulus and Dilatancy Softening in Granular Packings above Jamming
• Local rheological measurements in the granular flow around an intruder
• Echoes of the glass transition in athermal soft spheres
• The glass transition in molecules, colloids and grains: universality and specificity
• Collective drifts in vibrated granular packings: the interplay of friction and structure
• Hard-Sphere Jamming through the Lens of Linear Optimization
• A local view on the role of friction and shape
• Collective motion of macroscopic spheres floating on capillary ripples: Dynamic heterogeneity and dynamic criticality
• Inferring the particle-wise dynamics of amorphous solids from the local structure at the jamming point
• Architected Lattices with Adaptive Energy Absorption