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RIKEN介观器件腔中粒子输运过程的混沌性质及分形自相似结构研究

杨秦男 张延惠 蔡祥吉 蒋国辉 徐学友

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RIKEN介观器件腔中粒子输运过程的混沌性质及分形自相似结构研究

杨秦男, 张延惠, 蔡祥吉, 蒋国辉, 徐学友

Chaotic behaviors and fractal self-similar analysis of particles transport properties in RIKEN mesoscopic devices

Yang Qin-Nan, Zhang Yan-Hui, Cai Xiang-Ji, Jiang Guo-Hui, Xu Xue-You
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  • 研究了粒子在RIKEN介观器件中的输运性质, RIKEN器件的理论模型是二维Sinai台球的一种, 是研究粒子逃逸曲线混沌性质和分形规律的理想模型之一. 采用逃逸曲线定性比较和分形维数定量计算两种方法, 得到了开口宽度、腔长、拐角位置、圆弧半径等器件参数对逃逸曲线混沌区域分布的影响规律. 结果发现逃逸曲线中存在分形自相似结构, 揭示了粒子在RIKEN介观器件腔中输运过程存在的混沌性质, 并首次运用眼式结构分析和相似比比较等方法对分形自相似结构进行了验证.
    The theoretical model of RIKEN mesoscopic device in our study is one kind of the two-dimensional Sinai billiards, which is an ideal model to investigate the chaotic and fractal behaviors in particle escape curves. In the analysis of the escape curves, we use two methods:qualitative comparison and quantitative calculation of the fractal dimensions. Then we obtain the influence of the distribution of chaotic areas caused by the opening width, cavity length, corner positions, arc radius, etc. In the results, we find the fractal self-similar structure of the escape curves in which the similarity is very good, and they display the chaotic property of the transmission in the RIKEN device. Moreover, we use the eye-style structure analysis and the comparation between similar ratios to investagate the fractal self-similar structure.
    • 基金项目: 国家自然科学基金(批准号:10774093, 10374061)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10774093, 10374061).
    [1]

    Hu G 1994 Random Force and Nonlinear Systems (Shanghai:Shanghai Technology and Education Press) p114 (in Chinese) [胡岗 1994 随机力与非线性系统 (上海:上海科技教育出版社) 第114页]

    [2]

    Zhong Y X 2010 Discussion on Chaos and Fractals (Beijing:Peking University Press) p5 (in Chinese) [钟云霄 2010 混沌与分形浅谈 (北京:北京大学出版社) 第5页]

    [3]

    Hansen P, Mitchell K A, Delos J B 2006 Phys. Rev. E 73 066226

    [4]

    Ree S, Reichl L E 2002 Phys. Rev. E 65 055205

    [5]

    Micolich A P, Taylor R P, Newbury R, Fromhold T M, Tench C R 2000 Europhys. Lett. 49 417

    [6]

    Jiang G H, Zhang Y H, Cai X J, Yang Q N 2011 Shandong Science 24 22 (in Chinese) [蒋国辉, 张延惠, 蔡祥吉, 杨秦男 2011 山东科学 24 22]

    [7]

    Micolich A P 2000 Ph. D. Dissertation (Australia:The University of New South Wales)

    [8]

    Fromhold T M, Tench C R, Taylor R P, Micolich A P, Newbury R 1998 Physica B 249 334

    [9]

    Zhao H J, Du M L 2007 Acta Phys. Sin. 56 3827 (in Chinese) [赵海军, 杜孟利 2007 物理学报 56 3827]

    [10]

    Zhao H J, Du M L 2007 Phys. Rev. E 76 027201

    [11]

    Song X F, Du M L, Zhao H J 2012 Sci. Sin. Phys. Mech. Astron. 42 127 (in Chinese) [宋新芳, 杜孟利, 赵海军 2012 中国科学:物理学 力学 天文学 42 127]

    [12]

    Xu X Y, Zhang Y H, Huang F Z, Lin S L, Du M L 2005 Acta Phys. Sin. 54 4538 (in Chinese) [徐学友, 张延惠, 黄发忠, 林圣路, 杜孟利 2005 物理学报 54 4538]

    [13]

    Jiang G H, Zhang Y H, Bian H T, Xu X Y 2011 Chin. Phys. Lett. 28 120507

    [14]

    Mitchell K A, Handley J P, Tighe B, Knudson S K, Delos J B 2003 Chaos 13 880

    [15]

    Mitchell K A, Handley J P, Knudson S K, Delos J B 2003 Chaos 13 892

    [16]

    Huang R S 2000 Chaos and Its Application (Wuhan:Wuhan University Press) p179 (in Chinese) [黄润生 2000 混沌及其应用 (武汉:武汉大学出版社) 第179页]

    [17]

    Taylor R P, Micolich A P, Jonas D 1999 Nature 399 422

  • [1]

    Hu G 1994 Random Force and Nonlinear Systems (Shanghai:Shanghai Technology and Education Press) p114 (in Chinese) [胡岗 1994 随机力与非线性系统 (上海:上海科技教育出版社) 第114页]

    [2]

    Zhong Y X 2010 Discussion on Chaos and Fractals (Beijing:Peking University Press) p5 (in Chinese) [钟云霄 2010 混沌与分形浅谈 (北京:北京大学出版社) 第5页]

    [3]

    Hansen P, Mitchell K A, Delos J B 2006 Phys. Rev. E 73 066226

    [4]

    Ree S, Reichl L E 2002 Phys. Rev. E 65 055205

    [5]

    Micolich A P, Taylor R P, Newbury R, Fromhold T M, Tench C R 2000 Europhys. Lett. 49 417

    [6]

    Jiang G H, Zhang Y H, Cai X J, Yang Q N 2011 Shandong Science 24 22 (in Chinese) [蒋国辉, 张延惠, 蔡祥吉, 杨秦男 2011 山东科学 24 22]

    [7]

    Micolich A P 2000 Ph. D. Dissertation (Australia:The University of New South Wales)

    [8]

    Fromhold T M, Tench C R, Taylor R P, Micolich A P, Newbury R 1998 Physica B 249 334

    [9]

    Zhao H J, Du M L 2007 Acta Phys. Sin. 56 3827 (in Chinese) [赵海军, 杜孟利 2007 物理学报 56 3827]

    [10]

    Zhao H J, Du M L 2007 Phys. Rev. E 76 027201

    [11]

    Song X F, Du M L, Zhao H J 2012 Sci. Sin. Phys. Mech. Astron. 42 127 (in Chinese) [宋新芳, 杜孟利, 赵海军 2012 中国科学:物理学 力学 天文学 42 127]

    [12]

    Xu X Y, Zhang Y H, Huang F Z, Lin S L, Du M L 2005 Acta Phys. Sin. 54 4538 (in Chinese) [徐学友, 张延惠, 黄发忠, 林圣路, 杜孟利 2005 物理学报 54 4538]

    [13]

    Jiang G H, Zhang Y H, Bian H T, Xu X Y 2011 Chin. Phys. Lett. 28 120507

    [14]

    Mitchell K A, Handley J P, Tighe B, Knudson S K, Delos J B 2003 Chaos 13 880

    [15]

    Mitchell K A, Handley J P, Knudson S K, Delos J B 2003 Chaos 13 892

    [16]

    Huang R S 2000 Chaos and Its Application (Wuhan:Wuhan University Press) p179 (in Chinese) [黄润生 2000 混沌及其应用 (武汉:武汉大学出版社) 第179页]

    [17]

    Taylor R P, Micolich A P, Jonas D 1999 Nature 399 422

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  • PDF下载量:  548
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-10-10
  • 修回日期:  2012-12-21
  • 刊出日期:  2013-04-05

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