Southwestern Institute of Physics, Chengdu 610041, China;Southwestern Institute of Physics, Chengdu 610041, China;Southwestern Institute of Physics, Chengdu 610041, China
Abstract:
This paper theoretically investigates three stochastic systems with cross-correlation Gaussian white noises. Both steady state properties of the stochastic nonlinear systems and the nonequilibrium transitions induced by the cross-correlated noises are studied. The stationary solutions of the Fokker-Planck equation for three specific examples are analysed. It is shown explicitly that the cross-correlation of white noises can induce nonequilibrium transitions.