The transport of a walker in rocking feedback-controlled ratchets areinvestigated. The walker consists of two coupled "feet" that allow theinterchange of the order of the particles while the walker moves. In theunderdamped case, the deterministic dynamics of the walker in a tiltedasymmetric ratchet with an external periodic force is considered. It is foundthat the delayed feedback ratchets with a switching-on-and-off dependence ofthe states of the system can lead to the absolute negative mobility (ANM). Insuch a novel phenomenon the particles move against the bias. Moreover, thewalker can acquire a series of resonant steps for different values of thecurrent. Remarkably, it is interesting to find that the resonant current of thewalker are induced by the phase locked motion that corresponds to thesynchronization of the motion with the change in the frequency of the externaldriving. These resonant steps can be well predicted in terms of time-spacesymmetry analysis, which is in good agreement with dynamics simulations. Thetransport performances can be optimized and furthermore controlled by suitablyadjusting the parameters of the delayed-feedback ratchets.
展开▼
