Effect of Asymmetry of Dichotomous Noise on Transport of Particles

In this paper, an additive dichotomous noise model and a multiplicative dichotomous noise model are investigated for the effect of the asymmetry of the additive and multiplicative dichotomous noises on the transport of the particles, in the presence of spatial symmetry and asymmetry, respectively. It is shown that, in the presence of spatial asymmetry, the asymmetry of the dichotomous noise can weaken or enhance the transport of the particles; while in the absence of spatial asymmetry, the nonzero current induced by the noise's asymmetry is 'symmetric' around the zero current. In addition, a current reversal can be produced by controlling the noise's asymmetry parameter; and we find that, for some values of the noise's asymmetry parameter, the multiplicative dichotomous noise can more easily induce the transport of the particles than the additive dichotomous noise. (general)