Self-oscillating synchronematic colloids

Self-oscillators that sustain periodic dynamics under constant input are ubiquitous in natural and engineered systems, where their interactions enable spatiotemporal coordination among many individual units. New forms of organization can emerge when these self-oscillating units are free to move and rotate, coupling their spatial arrangement and alignment with their oscillation frequencies and phases. Here, we report experiments and simulations on populations of Quincke colloids that behave as self-oscillating units with position, orientation, frequency, and phase. Depending on initial conditions, these active oscillators spontaneously organize into distinct collective states characterized by temporal synchronization and directional alignment, which we term synchronematic order. In fluid-like clusters, this order is short-ranged and decays over a length scale set by the competition between hydrodynamic interactions and athermal noise. In crystalline clusters, these interactions drive global synchronization and circular alignment—synchronematic crystals—whose collective frequency increases with cluster size due to non-reciprocal coupling. To rationalize these behaviors, we perform Stokesian-Dynamics simulations that quantitatively reproduce the experimentally observed dynamics. Furthermore, we develop a reduced-order, swarmalator-like model that captures the essential hydrodynamic coupling between phase and orientation and predicts the emergence of synchronized and aligned states. Our results establish self-oscillating colloids as a model system for active oscillatory matter and reveal fundamental principles by which synchronization, alignment, and structure co-emerge, offering new pathways for designing adaptive, frequency-tunable materials.