Optimal operation of feedback flashing ratchets

Abstract

Feedback flashing ratchets are thermal rectifiers that use information on the state of the system to operate the switching on and off 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 on 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.

LaTeX, 5 pages, 2 figures. Presented at the 5th International Conference on Unsolved Problems on Noise (UPON'08). Selected to appear in Journal of Statistical Mechanics (JSTAT)

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