暴涨指数的随机理论  

On Stochastic Theory of the Number of Inflationary Efolds

作　　者：张建华[1] 

机构地区：[1]山东省菏泽学院物理系,山东菏泽274015

出　　处：《菏泽学院学报》2005年第5期12-18,共7页Journal of Heze University

摘　　要：回顾了现代宇宙学的历史和现状,从Friedmann方程出发,将标量场的量子涨落作为Gaussian白噪声,建立了反映宇宙暴涨过程的Langevin方程,得到尺度因子的均值、自相关系数和方差;特别是详细计算了暴涨指数,发现用这种方法得到的暴涨指数与经典结果差异甚微.First,the history and current situation of modern cosmology are looked back in this paper.Then,from friedmann equation,considering the quantum fluctuations of scalar field as Gaussian white noise,Langevin equation is established,and the mean or variance is obtained.Particularly,the expected number of inflationary efolds is studied carefully.It is found that the number of efolds obtained from stochastic theory has little impact on the classical results.

关 键 词：暴涨 Gaussian白噪声 LANGEVIN方程 暴涨指数 

分 类 号：P159.3[天文地球—天文学] O211.6[理学—概率论与数理统计]