染料激光色立方模型的第一通过时间分布

The First-Passage-Time Distribution of the Dye-Laser Colored Cubic Model Met Dongcheng

本文首先把Ｊｕｎｇ和Ｈａｎｇｇｉ提出的统一色噪声近似推广到多维情形，从而导出了这一近似下单模染料激光色立方模型的朗之万方程和福克－普朗克方程；得到了该模型第一通过时间分布的平均值，协方差和偏斜率的近似解析式并将其和数值模拟进行比较．

The unified-colored-noise approximation proposed by Jung and Hanggi is extended to the multi-dimensional case in this paper. Then, the Langevin equation and FokkerPlanck equation of colored cubic model for single mode dye-laser model are derived with this approximation method. The approximate formulas of the mean, variance, andskewness of the first-P8ssage-time distribution for the model are obtained and compared with the numerical simulations.