The currents generated by noise-induced activation processes in a periodic
potential are investigated analytically, by digital simulation and by perfo
rming analog experiments. The noise is taken to be quasimonochromatic and t
he potential to be a smoothed sawtooth. Two analytic approaches are studied
. The first involves a perturbative expansion in inverse powers of the freq
uency characterizing quasimonochromatic noise and the second is a direct nu
merical integration of the deterministic differential equations obtained in
the limit of weak noise. These results, together with the digital and anal
og experiments, show that the system does indeed give rise, in general, to
a net transport of particles. All techniques also show that a current rever
sal exists for a particular value of the noise parameters.