Fluctuational transport of a Brownian particle in ratchet-like gravitational potential field

We treat analytically the problem of fluctuational transport of a Brownian particle in ratchet-like gravitational field in the presence of white noise. Given analytics allow to calculate the mean particle velocity depending on the particle mass and the noise intensity. We show that noise-induced current undergoes the reversal both with the increase of the particle mass and with the increase of the noise intensity.