Associated relaxation time and intensity correlation function of a bistable system driven by cross-correlation additive and multiplicative coloured noise sources
Department of Physics, Simao Teacher's College, Simao, 665000, China
Corresponding author: a firstname.lastname@example.org
Revised: 4 January 2007
Published online: 22 March 2007
The associated relaxation time and the intensity correlation function of a bistable system driven by an additive and a multiplicative coloured noise with coloured cross-correlation are investigated. Using the Novikov theorem and the projection operator method, the analytic expressions of the stationary probability distribution Pst(x), the relaxation time Tc, and the normalized correlation function C(s) of the system are obtained. The effects of the noise intensity, the cross-correlation strength λ and the cross-correlation time τ are discussed. By numerical computation, it is found that the cross-correlation strength |λ| and the quantum noise intensity D decrease the relaxation of the system from unstable points. The cross-correlation time τ delays relaxation of the system from unstable points. The cross-correlation strength λ and the cross-correlation time τ can alter the effects of the pump noise intensity Q. Thus, the relaxation time Tc is a stochastic resonant phenomenon, and distribution curves exhibit a single-maximum structure.
PACS: 05.40.-a – Fluctuation phenomena / 02.50.-r – Probability theory, stochastic processes / 05.10.Gg – Stochastic analysis methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007