Critical scaling and heterogeneous superdiffusion across the Jamming transition

4 pages, 8 figuresThe dynamical properties of a dense horizontally vibrated bidisperse granular monolayer are experimentally investigated. We provide decisive experimental evidence that the appearance of macroscopic rigidity is a critical phenomenon, with increasingly collective and heterogeneous dynamics. Correlation time and length soar on both sides of the transition, as the volume fraction varies over a remarkably tiny range. We characterize the dynamics of individual grains, which becomes super-diffusive at the jamming transition, signalling long-ranged temporal correlations. Correspondingly, the system exhibits long-ranged four-point dynamical correlations in space that obey critical scaling at the critical density