Feedback between interacting transport channels

TL;DR

This paper introduces a model for autonomous feedback control in particle transport through multiple channels, demonstrating how interactions suppress fluctuations and lead to synchronization phenomena, with implications for understanding noise and information flow.

Contribution

The paper presents a novel mean-field model for feedback control in particle transport, linking interactions, fluctuation suppression, and synchronization with an external clock.

Findings

Interactions suppress particle number fluctuations.

Feedback signals exhibit scaling and influence noise spectral functions.

Collective control can be described as synchronization with an external clock.

Abstract

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.