关键词: 开放台球, 混沌性质, 分形, 分形维数

Abstract:

Sinai quantum billiard is an ideal model to investigate dynamic properties of a microscopic system because it can be used to simulate chaotic properties and the numerical computation is relatively simple. This paper addresses the escape of particles and numerically calculates the collision numbers in escape process with Sinai quantum billiards as a theoretical model. Results indicate the significance of initial conditions for escape. We employ a simplified box-counting approach to calculate the fractal dimensions that are corresponding to different gate voltages and different aperture widths. We also analyze the influences of gate voltage and aperture width in Sinal quantum billiards on chaotic behaviors.

Key words: open billiard, chaotic properties, fractal;, fractal dimension