1. Smoluchowski's coagulation kinetics fails in turbulent flow when coalescing species are dilute and transported by the flow.
2. Intermittent Lagrangian motion in turbulent flow leads to correlated violent events that result in abrupt growth of large aggregates.
3. This phenomenon has significant implications for macroscopic processes such as planet formation or rain precipitation, which are critically sensitive to the early-stage emergence of large embryonic aggregates.