非高斯噪声激励下双稳系统的平均首次穿越时间

The Mean First Passage Time for A Bi-stable System Driven by Non-Gaussian Noise

研究了非高斯噪声激励下的双稳系统,应用路径积分和统一色噪声近似的方法得到系统的定态概率密度和平均首次穿越时间的表达式.发现了噪声强度、偏离参数及自相关时间均不能诱导非平衡相变发生;非高斯噪声强度D和加性噪声强度Q的增加有利于粒子的逃逸;自相关时间τ0的增加会阻碍粒子的逃逸;当非高斯噪声强度D较小时,非高斯噪声参数p值增大会阻碍粒子的逃逸,当D增加到一定值时,p值的增大就会利于粒子的逃逸.

In this paper, the bi-stable system driven by non-Gaussian noise is studied. The ex- pressions of the stationary probability distribution and the mean first-passage time are obtained through the approach and the unified colored noise approximation. The results show that the path-integral intensity of noise, the derivation parameter and the self correlation time cannot in- duce phase transition. The increase of the non-Gaussian noise intensity and additive noise in- tensity enhance the escape, while increase of the self correlation time reduces the escape. When the D value of non-Gaussian noise intensity is small, the p value increase of non-Gaussi- an noise parameter can hinder the particle＇s escape; when the D value of non-Gaussian noise intensity is added to a certain value, the increase of p value will be conducive to the particle＇s escape.