title: Current reversals in ratchets driven by trichotomous noise
abstract: The colored three-level Markovian noise-driven nonequilibrium dynamics of overdamped Brownian particles in a spatially periodic asymmetric potential (ratchet) is investigated. An explicit second-order linear ordinary differential equation for the stationary probability density distribution is obtained for the process. In the case of a piecewise linear potential with an additive three-level (trichotomous) noise the exact formula for the stationary current is presented. The dependence of the current reversals on the noise parameters is investigated in detail and illustrated by a phase diagram. Asymptotic formulas for the current for various limits of the noise parameters are found and compared with the results of other authors. Applications to the fluctuation-induced separation of particles are also discussed.
authors.affiliation: Department of Natural Sciences, Tallinn Pedagogical University, Narva maantee 25, 10120 Tallinn, Estonia.
authors.initials: R
authors.lastname: Mankin
authors.initials: A
authors.lastname: Ainsaar
authors.initials: E
authors.lastname: Reiter