亚稳态存活概率与时间的蒙特卡罗研究

he survival problem of a system in a metastable potential, namely, inverse Kramers problem, is considered. The Monte Carlo method is used to simulate the survival and the escape probablities of the particle in the metastable potential whose the initial position is outside the well. It is shown that the stable value of survival probability of the particle in the metastable potential is lower than the probability passing over the inverse harmonic oscillator potential. We correct the analytical result of barrier passing probability through considering reflection boundary and get a new expression of the survival probability. We also calculate the mean survival time of the particle in the metastable potential under various parameters and find the optimum condition to make the mean survival time become the longest.