山东科学2011，Vol.24Issue(6)：22-25,4.
开放Sinai台球中粒子输运性质的分形研究
Fractal analysis of particles transport properties in an open Sinai billiard
摘要
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 Sinai quantum billiards on chaotic behaviors.关键词
开放台球/混沌性质/分形/分形维数Key words
open billiard/chaotic properties/fractal/fractal dimension分类
数理科学引用本文复制引用
蒋国辉,张延惠,蔡祥吉,杨秦男..开放Sinai台球中粒子输运性质的分形研究[J].山东科学,2011,24(6):22-25,4.基金项目
国家自然科学基金（10774093,10374061）. （）
