Rocking ratchets with stochastic potentials

An analysis has been made for the motion of an overdamped Brownian particle in a periodic potential subjected to a position-dependent stochastic perturbation and a sinusoidal external force. In the presence of the stochastic potentials, it is noticed that with the increasing intensity of the stochastic potentials, the maximum of the current in general decreases, while it is shifted to the higher temperature, and moreover, the correlation length also strongly influences the magnitude of the current.