系综运动的混沌特征与李阿普诺夫特征指数  

Chaos in the Time Evolution of Ensembles and Lyapunov Characteristic Exponents

作　　者：顾雁[1] 

机构地区：[1]兰州大学物理系,兰州730000

出　　处：《兰州大学学报（自然科学版）》1991年第S1期25-32,共8页Journal of Lanzhou University(Natural Sciences)

摘　　要：本文从系综运动的观点讨论了经典和量子混沌的基本特征,文中引进了系综分布不均匀度,并指出了该不均匀度随时间变化的指数增长率与Lyapunov特征指数的联系。We discuss the evidences of classical and quantum chaos in the time evolution ofnonequilibrium ensembles. A new statistical quantity which describes the phase-spacedistributional heterogeneity of ensembles is introduced. It is shown that the exponentialgrowth rate of this quantity can be related to the Lyapunov exponents of the chaotic mo-tions in the ensemble.

关 键 词：混沌 非平衡系综 Lyapnnov指数 

分 类 号：N55[自然科学总论]