Ratchet motion induced by deterministic and correlated stochastic forces

Abstract

We investigate analytically and through stochastic simulations the motion of a particle in a periodic nonsymmetric ratchet potential driven by time-correlated forces. We examine the extreme monochromatic deterministic 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 correlation times and compare it with numerical results. We also demonstrate numerically the occurrence of color-induced current reversal of a rigid dimer moving in a ratchet.