Ratchet motion induced by a correlated stochastic force

We apply a rigorous formalism we have just worked out (Cortés and Espinosa, Physica A 267 (1999) 414) about escape rates and the Hamilton–Jacobi equation, to study the ratchet motion of a Brownian particle and calculate the probability current in a periodic non-symmetric potential subject to correlated fluctuations. We are able to obtain the current behaviour as a function of the correlation time parameter and compare with other results in the literature.