水分子振动体系动力学研究  

Dynamic Research of Water Molecules Vibration System

作　　者：刘松红[1] 庞成群[1] 冯俊杰[1] 任维义[2] 

机构地区：[1]六盘水师范学院物理与电子科学系,贵州六盘水553001 [2]西华师范大学理论物理研究所,四川南充637002

出　　处：《宁夏大学学报（自然科学版）》2012年第3期243-246,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51071131);六盘水师范学院科研基金资助项目(200911)

摘　　要：在动力学群得到的水分子Hamiltonian的基础上,求解正则运动方程,计算固定键角近似下水分子振动体系的庞加莱截面、采用wolf重构法计算振动体系的最大Lyapunov指数.计算结果显示:对于四维振动体系,庞加莱截面只能反映体系局域的行为;非线性耦合和能量的局域化导致振动体系的混沌,强非线性耦合也导致体系的准周期运动.Based on the Hamiitonian of water molecules derived from dynamic group, the bond angle of water molecules is fixed at the equilibrium bond angle. By solving the canonical motion equation, the Poincare section of water molecules vibration system is calculated, the maximum Lyapunov exponent is also computed by adopting the wolf reconstruction method. From the results, the Poincare section only reflects the local property of four-dimensional vibration system in the phase space; nonlinear coupling and energy localization lead the vibration system to chaos, the strong nonlinear coupling also creates quasi- periodic motion of the system.

关 键 词：动力学 庞加莱截面 LYAPUNOV指数 

分 类 号：O415.5[理学—理论物理]