Transport in a flashing ratchet in the presence of anomalous diffusion

Transport of a particle in a flashing ratchet coupled to a non-Ohmic environment with spectrum ∝ωμ-1 (0<μ<2) is considered. If the temperature is much less than the barrier height of the ratchet potential and the waiting time of the particle in the potential on is long enough, the current J is evaluated approximately by the step periodic number per cycle. The results show that the maximum of peak for J is a non-monotonous function of μ, the optimal μ appears in the region of superdiffusion. The current in the anomalous ratchet is much larger than in the normal one