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研究了乘性色噪声和加性白噪声驱动的光学双稳系统中噪声对系统两个方向平均首通时间T+（xs1→xs2）和T-（xs2→xs1）的影响（平均首通时间是指从一稳态出发越过势垒到另一稳态所用时间的平均值）.通过Novikov定理和Fox近似方法得到相应的Fokker-Planck方程，利用最速下降法得到T+（xs1→xs2）和T-（xs2→xs1）的表达式.研究发现：乘性噪声强度Q和加性噪声强度D对T+（xs1→xs2）的影响相同，对T-（xs2→xs1）的影响不同；T+（xs1→xs2）随乘性色噪声自关联时间τ的增大而增大，但随噪声间的交叉关联强度λ的增大而减小；T-（xs2→xs1）随τ的增大而减小，随λ的增大而增大.The effects of multiplicative colored noise and additive white noise on the mean first-passage time （MFPT） T+（xs1→xs2） and T-（xs2→xs1） of an optical bistable system are investigated. The approximate Fokker-Planck equation is obtained based on the Novikov theorem and the Fox approach. The expression of MFPT is obtained in the steepest-descent approximation. Numerical results show that （1） the multiplicative noise intensity Q and additive noise intensity D play the same roles in T+（xs1→xs2） but different roles in T-（xs1→xs2）;（2）T+（xs1→xs2）increases with the increase of the self-correlation time τ but decreases with the increase of the correlation intensity λ；（3）T-（xs2→xs1）decreases with τ increasing， but increases with λ increasing.
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Keywords:
- mean first-passage time /
- optical bistable system /
- multiplicative colored noise /
- additive white noise
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中国物理学会期刊
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