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经典开口运动场模型的输运行为
引用本文:盛宇波,游丽君,陈贺胜.经典开口运动场模型的输运行为[J].扬州大学学报(自然科学版),2006,9(2):16-20.
作者姓名:盛宇波  游丽君  陈贺胜
作者单位:扬州大学,物理科学与技术学院,江苏,扬州,225002
基金项目:江苏省教育厅自然科学基金资助项目(R0209089)
摘    要: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.

关 键 词:输运  分形  运动场系统
文章编号:1007-824X(2006)02-0016-05
收稿时间:2005-11-22
修稿时间:2005-11-22

The properties of transportation in the classical opened stadium model
SHENG Yu-bo,YOU Li-jun,CHEN He-sheng.The properties of transportation in the classical opened stadium model[J].Journal of Yangzhou University(Natural Science Edition),2006,9(2):16-20.
Authors:SHENG Yu-bo  YOU Li-jun  CHEN He-sheng
Abstract: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.
Keywords:ransport  fractal  system of stadium
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