Feedback control in a collective flashing ratchet
F. J. Cao, L. Dinis, J.M.R. Parrondo
TL;DR
This paper investigates feedback control strategies in a collective flashing ratchet system, demonstrating that an optimal protocol for one particle enhances current in small ensembles but is less effective for large groups compared to random or periodic switching.
Contribution
It introduces and analyzes a feedback control protocol that maximizes current in a collective flashing ratchet, showing its effectiveness varies with ensemble size.
Findings
Optimal protocol improves current for small ensembles.
Performance diminishes for large ensembles with the protocol.
Random or periodic switching outperforms feedback control in large ensembles.
Abstract
An ensemble of Brownian particles in a feedback controlled flashing ratchet is studied. The ratchet potential is switched on and off depending on the position of the particles, with the aim of maximizing the current. We study in detail a protocol which maximizes the instant velocity of the center of mass of the ensemble at any time. This protocol is optimal for one particle and performs better than any periodic flashing for ensembles of moderate size, whereas is defeated by a random or periodic switching for large ensembles.
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