Shandong Science ›› 2011, Vol. 24 ›› Issue (6): 22-25.doi: 10.3976/j.issn.1002-4026.2011.06.007

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Fractal analysis of particles transport properties in an open Sinai billiard

 JIANG Guo-Hui, ZHANG Yan-Hui, CA Xiang-Ji, YANG Qin-Nan   

  1. College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
  • Received:2011-09-19 Published:2011-12-20 Online:2011-12-20

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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

CLC Number: 

  • O415.5

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