Frozen states in shear-induced coagulation: When history matters

We discover a frozen state in decaying turbulent coagulation where the moment ratio M_C stabilizes at 4.5, defying the theoretical prediction of 2 for homogeneous systems. This persistent state emerges from historical memory effects that freeze spatial correlations, challenging the reduction of spatially extended systems to zero-dimensional models. Our findings fundamentally reshape the understanding of long-term coagulation dynamics with immediate implications for aerosol science and industrial processing.