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- W2377476780 abstract "The effects of the memory kernel on the relaxation time of a bistable system driven by the cross-correlated noises are investigated by means of the projection-operator method.The second-order approximate expression of the relaxation time of the system is derived.By numerical computations,it is found that:(1)The memory kernel does not influence the qualitative behavior of the relaxation time,which changes with the noise parameters varying.However,the value of relaxation time increases due to the memory kernel effect,i.e.,the memory kernel slows down the fluctuation decay of the dynamical variable;(2) When there is no cross-correlation between the multiplicative noise(D) and additive noise(α),the difference in the relaxation time(Δ) between the first-order approximation and the second-order approximation increases with R(R=D/α) increasing and decreases as D increases;(3) For the case of λ≠0(λ denotes the cross-correlation strength between the noise terms),when R is small,Δ increases with R increasing.The λ and τ play an opposite role on the Δ. However,the large λ and small τ can suppress the memory kernel effect for the case of large R;(4) There is a critical ratio R=1,the effect of the memory kernel on the relaxation time for the case of R·1 is more pronounced than that of R1." @default.
- W2377476780 created "2016-06-24" @default.
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- W2377476780 date "2008-01-01" @default.
- W2377476780 modified "2023-10-16" @default.
- W2377476780 title "Effects of memory kernel on relaxation time of a bistable system driven by cross-correlated noises" @default.
- W2377476780 hasPublicationYear "2008" @default.
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