Flux Induced by Multiplicative Dichotomous Noise∗

Abstract The transport of particles induced by multiplicative dichotomous noise for a system is investigated. The stationary probability current is derived. It is shown that, for the system studied by us, the spatial asymmetry is the ingredient for the nonzero stationary current. PACS numbers: 05.40.Ca Key words: transport, dichotomous noise, flux, probability current The nonequilibrium phenomena caused by noise in nonlinear systems have recently attracted a great deal of attention in a variety of contexts.[1] Generally, these phenomena involve a response of the system that is not only produced or enhanced by the presence of the noise, but that is optimized for certain values of the parame-ters of the noise. One example of these phenomena is the phenomenon of stochastic resonance,[2−4] wherein the re-sponse of a nonlinear system to a signal is enhanced by the presence of noise and maximized for certain value