Abstract
We present an extensive study the motion of particles in a rocking ratchet potential corrugated by quenched correlated disorder. The spatial disorder slows down the collective motion of particles. Anomalous transport in its both forms, subdiffusion and superdiffusion has been observed at long times. We provide a qualitative explanation for the origin of these anomalies. These behaviors are a direct consequence of the interplay between the ratchet potential roughness and the temperature of the system. In the same way as Khoury et al [1], we find a relation between the mean velocity of the particles and the different kinds of diffusion at long time.
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