Optimal operation of feedback flashing ratchets

International audienceFeedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate the switching on and off of a periodic potential. We discuss different strategies for this operation with the aim of maximizing the net flux of particles in the collective version of a flashing ratchet consisting of N overdamped Brownian particles. We show the optimal protocols for the one-particle ratchet and for the collective ratchet with an infinite number of particles. Finally we comment on the unsolved problem of the optimal strategy for any other number of particles