Feedback between interacting transport channels

A model for autonomous feedback control of particle transport through a large number of channels is introduced. Interactions among the particles can lead to a strong suppression of fluctuations in the particle number statistics. Within a mean-field type limit, the collective control mechanism becomes equivalent to a synchronization with an external clock. The diffusive spreading of the feedback signal across the channels shows scaling, can be quantified via the flow of information, and shows up, e.g., in the spectral function of the particle noise.