Te. Dialynas et al., RATCHET MOTION-INDUCED BY DETERMINISTIC AND CORRELATED STOCHASTIC FORCES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 3976-3985
We investigate analytically and through stochastic simulations the mot
ion of a particle in a periodic nonsymmetric ratchet potential driven
by time-correlated forces. We examine the extreme monochromatic determ
inistic case as well as the stochastic correlated noise case. Ratchet
motion is found in both cases. In the correlated noise case we derive
a single analytical expression for the induced current at large correl
ation times and compare it with numerical results. We also demonstrate
numerically the occurrence of color-induced current reversal of a rig
id dimer moving in a ratchet.