耗散效应对Moshinsky原子统计关联的影响（英文）

Dissipation effects on statistical correlation in Moshinsky atom

研究了耗散效应对一维Moshinsky原子统计关联的影响.利用Yu和Sun的方法,得到了关于香浓熵、关联函数和位置及动量中的交互信息等信息理论的一般解析表达式,且给出了这些函数随时间和粒子间作用强度变化的图像.与通常耗散系统中存在2种效应相反,研究结果显示,在本系统中只有阻尼起到重要效应,而布朗运动效应消失.

We investigate the dissipation effects on the statistical correlation for one-dimension(1D) Moshinsky atom. Using the method developed by Yu and Sun, the general analytical expressions extracted from the information theory such as Shannon entropies, correlation coefficient and mutual information in position and momentum are obtained, and their behaviors as functions of time and the strength of the interparticle interaction are demonstrated. Contrary to the usual case in which there exist two effects in dissipative systems, it shows that only the damping plays the important role while the effects of Brownian motion are little significant.