Li J H, Xing D Y, Dong J M, Hu B
Department of Physics and National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210008, China.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Aug;60(2 Pt A):1324-8. doi: 10.1103/physreve.60.1324.
We consider the escape over a fluctuating barrier in the presence of a dichotomous noise and a Gaussian white noise. It is shown that the mean first passage time (MFPT) over the fluctuating barrier displays two resonant activations. One is the resonant activation of the MFPT as a function of the flipping rate of the fluctuating potential barrier; the other is the resonant activation of the MFPT as a function of the transition rate of the dichotomous noise. In addition, we find that the dichotomous noise can weaken the former resonant activation, but enhance the latter one. By further study, we find that, when the fluctuating potential barrier is driven by two or more dichotomous noises, there are three or more resonant activations.
我们考虑在存在二分噪声和高斯白噪声的情况下越过起伏势垒的逃逸问题。结果表明，越过起伏势垒的平均首次穿越时间（MFPT）呈现出两种共振激活现象。一种是MFPT作为起伏势垒翻转率的函数的共振激活；另一种是MFPT作为二分噪声跃迁率的函数的共振激活。此外，我们发现二分噪声会削弱前一种共振激活，但增强后一种。通过进一步研究，我们发现，当起伏势垒由两个或更多二分噪声驱动时，会有三个或更多的共振激活。
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