  The emergence of particle irreversibility in periodically driven colloidal
suspensions has been interpreted as resulting either from a nonequilibrium
phase transition to an absorbing state or from the chaotic nature of particle
trajectories. Using a simple model of a driven suspension we show that a
nonequilibrium phase transition is accompanied by hyperuniform static density
fluctuations in the vicinity of the transition, where we also observe strong
dynamic heterogeneities reminiscent of dynamics in glassy materials. We find
that single particle dynamics becomes intermittent and strongly non-Fickian,
and that collective dynamics becomes spatially correlated over diverging
lengthscales. Our results suggest that the two theoretical scenarii can be
experimentally discriminated using particle-resolved measurements of standard
static and dynamic observables.
