Current reversal in a continuously periodic system driven by an additive noise and a multiplicative noise

We study the noise-induce transport and current reversal of Brownian particles in a continuously periodic potential driven by cross correlation between a multiplicative white noise and an additive white noise. We find that directed motion of the Brownian particles can be induced by the correlation between the additive noise and the multiplicative noise. The current reversal and the direction of the current is controlled by the values of the intensity (λ) of the correlated noises and a dimensionless parameter R   (R=α/DR=α/D, D is the intensity of multiplicative noise and α is the intensity of additive noise).