Rocking feedback controlled ratchets

TL;DR

This paper explores how a periodic rocking force combined with feedback control enhances flux in ratchet systems, revealing novel dynamic regimes and achieving maximum flux without bias.

Contribution

It introduces the interplay of rocking forces with feedback control in ratchets, demonstrating flux enhancement and novel dynamical regimes.

Findings

Rocking force increases flux in single and collective ratchets.

Maximum flux achieved without bias due to combined control.

Rich dynamics with unexpected features emerge from the interplay.

Abstract

We investigate the different regimes that emerge when a periodic driving force, the rocking force, acts on a collective feedback flashing ratchet. The interplay of the rocking and the feedback control gives a rich dynamics with different regimes presenting several unexpected novel features. In particular, we show that for both the one-particle ratchet and the collective version of the ratchet an appropriate rocking increases the flux. This mechanism gives the maximum flux that has been achieved in a ratchet device without an a priori bias.