经典开口运动场模型的输运行为

The properties of transportation in the classical opened stadium model

对一个接有直导管的开口运动场模型的经典输运行为进行了研究,发现粒子在系统中的分布情况呈现出明显的分形特征,这种分形结构与闭合运动场系统的不稳定周期轨道密切关联,特别是一些短周期的不稳定周期轨道.对于闭合运动场系统,在量子情形下,不稳定周期轨道往往表现为“量子疤痕”结构.因此,对于运动场系统,不稳定周期轨道的分布特征决定了系统的动力学行为.

The author studies the properties of transportation of a 2-D opened stadium model with two straight leads. For the classical case, it is found that the distribution of particles has obviously fractal form, and the reflection rate and the transmission rate are related to the unstable periodic orbits, especially the short unstable periodic orbits. As well known, the unstable periodic orbits usually exhibit as scars for the quantum case. It is thought the distribution of unstable periodic orbits determines the dynamical properties of the billiard systems.