Collective motion of macroscopic spheres floating on capillary ripples: Dynamic heterogeneity and dynamic criticality

Abstract

When a dense monolayer of macroscopic slightly polydisperse spheres floats on chaotic capillary Faraday waves, a coexistence of large scale convective motion and caging dynamics typical for jammed systems is observed. We subtract the convective mean flow using a coarse graining and reveal subdiffusion for the caging time scales followed by a diffusive regime at later times. To test the system in the light of dynamic criticality, we apply the methods of dynamic heterogeneity to obtain the power-law divergent time and length scales as the floater concentration approaches the jamming point. We find that these are independent of the application of the coarse graining procedure. The critical exponents are consistent with those found in dense suspensions of colloids indicating universal stochastic dynamics.

submitted, 6 pages, 3 figures

References in corpus (17)

• Theoretical perspective on the glass transition and amorphous materials
• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• The Jamming Transition in Granular Systems
• Perspective: The Glass Transition
• Nonequilibrium glass transitions in driven and active matter
• Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
• Dynamic heterogeneity in amorphous materials
• The glass transition of dense fluids of hard and compressible spheres
• Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
• Approach to jamming in an air-fluidized granular bed
• Dynamic criticality at the jamming transition
• Granular Character of Particle Rafts
• Topological persistence and dynamical heterogeneities near jamming
• Growing length and time scales in a suspension of athermal particles
• Jamming and growth of dynamical heterogeneities versus depth for granular heap flow
• Heterogeneous structure of granular aggregates with capillary interactions
• The Jamming point street-lamp in the world of granular media