title: Nonequilibrium transitions induced by the cross-correlation of white noises.
abstract: We study the role that the cross-correlation of noises plays in the statistical behavior of systems driven by two multiplicative Gaussian white noises. The temporal evolution of the system is described by a Langevin equation, for which we adopt a general interpretation that includes the Ito as well as the Stratonovich interpretation. We derive the stochastically equivalent Fokker-Planck equation by means of the two-stage averaging of a state-dependent function. Analyzing the stationary solution of the Fokker-Planck equation for specific examples, we show explicitly that the cross-correlation of white noises can induce nonequilibrium transitions.
authors.affiliation: Department of Mechanics and Mathematics, Sumy State University, 2, Rimskiy-Korsakov Street, 40007 Sumy, Ukraine. denisov@ssu.sumy.ua
authors.forename: S I
authors.initials: SI
authors.lastname: Denisov
authors.forename: A N
authors.initials: AN
authors.lastname: Vitrenko
authors.forename: Werner
authors.initials: W
authors.lastname: Horsthemke