Current inversion induced by colored non-Gaussian noise

Abstract

We study a stochastic process driven by colored non-Gaussian noises. For the flashingratchet model we find that there is a current inversion in the variation of the current withthe half-cycle period which accounts for the potential on–off operation. The currentinversion almost disappears if one switches from non-Gaussian (NG) to Gaussian (G) noise.We also find that at low value of the asymmetry parameter of the potential the mobilitycontrolled current is more negative for NG noise as compared to G noise. Butat large magnitude of the parameter the diffusion controlled positive current ishigher for the former than for the latter. On increasing the noise correlation time(τ), keeping the noise strength fixed, the mean velocity of a particle first increases and thendecreases after passing through a maximum if the noise is non-Gaussian. For Gaussiannoise, the current monotonically decreases. The current increases with the noise parameterp,0<p<5/3, which is 1 for Gaussian noise.