有限系统的统计动力学性质

摘要

本文研究了由一个单自由度的相关系统和多自由度的无关系统通过弱耦合相互作用构成的有限哈密顿系统的能量输运过程，并分析了系统的动力学过程。相关系统的耗散过程经历了解相、统计弛豫和平衡态这三个阶段。相关系统由频率单一的简谐运动逐渐变为和周围环境相同的混沌运动。%The article studies features of statistical dynamics in a finite Hamilton system composed of a relevant single degree of freedom coupled to an irrelevant multi-degree of freedom system through a weak interaction. A dissipation of the relevant motion is realized through three distinct stages: phase demodulation, statistical relaxation, and equilibrium regimes. The research shows that the motion relevant system finally comes to a chaos-like state with the coupling as a damping effect.