Resonant current in coupled inertial Brownian particles with delayed-feedback control
Tian-Fu Gao1, Zhi-Gang Zheng2(), Jin-Can Chen3()
1. College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China 2. College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China 3. Department of Physics, Xiamen University, Xiamen 361005, China
The transport of a walker in rocking feedback-controlled ratchets is investigated. The walker consists of two coupled “feet” that allow the interchange of the order of particles while the walker moves. In the underdamped case, the deterministic dynamics of the walker in a tilted asymmetric ratchet with an external periodic force is considered. It is found that delayed feedback ratchets with a switching-on and-off dependence of the states of the system can lead to absolute negative mobility. In such a novel phenomenon, the particles move against the bias. Moreover, the walker can acquire a series of resonant steps for different values of the current. It is interesting to find that the resonant currents of the walker are induced by the phase locked motion that corresponds to the synchronization of the motion with the change in the frequency of the external driving. These resonant steps can be well predicted in terms of time-space symmetry analysis, which is in good agreement with dynamics simulations. The transport performances can be optimized and controlled by suitably adjusting the parameters of the delayed-feedback ratchets.
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