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孤立波在一维复合颗粒链中传播特性的模拟研究

黄德财 陈伟中 杨安娜 孙敏 胡凤兰 赵敏

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孤立波在一维复合颗粒链中传播特性的模拟研究

黄德财, 陈伟中, 杨安娜, 孙敏, 胡凤兰, 赵敏

Simulation study on the propagation of solitary waves in a one-dimensional composite granular chain

Huang De-Cai, Chen Wei-Zhong, Yang An-Na, Sun Min, Hu Feng-Lan, Zhao Min
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  • 采用分子动力学方法模拟研究了孤立波在重轻颗粒相间排列的一维复合颗粒链中的传播特性. 结果发现,在轻重颗粒的质量比较大或较小时,散射作用较弱,颗粒的速度和孤立波的速度衰减较慢. 在轻重颗粒的质量比为中等时,散射作用较强,颗粒的速度和孤立波的速度衰减较快. 孤立波在通过重-轻颗粒界面时,存在有增速效应,可以提高孤立波的传播速度. 并且,轻重颗粒的质量比越小增速效应越强. 在散射作用和增速效应的共同作用下,改变轻重颗粒的质量比可以调控孤立波在重-轻颗粒链中的传播时间.
    The propagation of solitary wave in a one-dimensional composite granular chain with heavy and light particles by turns is investigated by using molecular dynamics simulation. Under the condition of larger or smaller mass ratio of light to heavy particles, scattering effect is weaker and both particle velocity and solitary wave velocity decay slowly. In the intermediate range of mass ratio, the scattering effect becomes stronger, resulting in a faster decay of particle velocity and solitary wave velocity. Moreover, effect of increasing velocity happens when teh solitary wave travels across the heavy-light interface, indicating that the solitary wave velocity is increased. Effect of increasing velocity is enhanced when the mass ratio of light to heavy particles decreases. Due to the combined action of scattering effect and the effect of increasing velocity, the traveling time of solitary waves can be modulated by altering the mass ratio of light to heavy particle.
    • 基金项目: 国家自然科学基金(批准号:10904070,10847146,11174145,11334005)和南京理工大学青年学者基金(批准号:200705)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10904070, 10847146, 11174145, 11334005), and the NUST Young Scholar Foundation (Grant No. 200705).
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  • [1]

    Nesterenko V F 1983 J. Appl. Mech. Tech. Phys. 5 733

    [2]
    [3]
    [4]

    Avalos E, Sun D K, Doney R L 2011 Phys. Rev. E 84 046610

    [5]
    [6]

    Hoogeboom C, Theocharis G, Kevrekidis P G 2010 Phys. Rev. E 82 061303

    [7]

    Chong C, Kevrekidis P G, Theocharis G, Daraio C 2013 Phys. Rev. E 87 042202

    [8]
    [9]
    [10]

    Nesterenko V F, Daraio C, Herbold E B, Jin S 2005 Phys. Rev Lett. 95 158702

    [11]
    [12]

    Boechler N, Theocharis G, Daraio C 2011 Nature Materials 10 665

    [13]
    [14]

    Nesterenko V F 2001 Dynamics of Heterogeneous Materials (New York: Springer-Verlag)

    [15]

    Coste C, Falcon E, Fauve S 1997 Phys. Rev. E 56 6104

    [16]
    [17]

    Herbold E B, Nesterenko V F 2013 Phys. Rev. Lett. 110 144101

    [18]
    [19]

    Takato Y, Sen S 2012 Eur. Phys. Lett. 100 24003

    [20]
    [21]
    [22]

    Daraio C, Nesterenko V F, Herbold E B, Jin S 2006 Phys. Rev. E 73 026610

    [23]
    [24]

    Szelengowicz I, Hasan M A, Starosvetsky Y, Vakakis A, Daraio C 2013 Phys. Rev. E 87 032204

    [25]
    [26]

    Daraio C, Nesterenko V F 2006 Phys. Rev. E 73 026612

    [27]
    [28]

    Daraio C, Nesterenko V F, Herbold E B, Jin S 2006 Phys. Rev. Lett. 96 058002

    [29]
    [30]

    Spadoni A, Daraio C 2010 PNAS 107 7230

    [31]
    [32]

    Molinari A, Daraio C 2009 Phys. Rev. E 80 056602

    [33]

    Nesterenko V F, Herbold E B 2007 Appl. Phys. Lett. 90 261902

    [34]
    [35]

    Wang P J, Xia J H, Li Y D, Liu C S 2007 Phys. Rev. E 76 041305

    [36]
    [37]

    Wang P J, Xia J H, Li Y D, Liu C S, Yan L 2011 Acta Phys. Sin. 60 014501 (in Chinese) [王平建, 夏继宏, 刘长松, 刘会, 闫龙 2011 物理学报 60 014501]

    [38]
    [39]
    [40]

    Vergara L 2005 Phys. Rev. Lett. 95 108002

    [41]

    Tichler A M, Gómez L R, Upadhyaya N, Campaman X, Nesterenko V F, Vitelli V 2013 Phys. Rev. Lett. 111 048001

    [42]
    [43]

    Harbola U, Rosas A, Epsosito M, Lindenberg K 2009 Phys. Rev. E 80 031303

    [44]
    [45]

    Harbola U, Rosas A, Romero A H, Epsosito M, Lindenberg K 2009 Phys. Rev. E 80 051302

    [46]
    [47]
    [48]

    Doney R L, Sen S 2005 Phys. Rev. E 72 041304

    [49]
    [50]

    Chen Q, Yang X Q, Zhao X Y, Wang Z H, and Zhao Y M 2013 Chin. Phys. B 22 014501

    [51]

    Kuwabara G, Kono K 1987 Jpn. J. Appl. Phys. Part. I 26 1230

    [52]
    [53]

    Schafer J, Dippel S, Wolf D E 1996 J. Phys. I France 6 5

    [54]
    [55]
    [56]

    Huang D C, Lu M, Sen S, Sun M, Feng Y D, Yang A N 2013 Eur. Phys. J. E 36 41

    [57]

    Huang D C, Lu M, Sun G, Feng Y D, Sun M, Wu H P, Deng K M 2012 Phys. Rev. E 85 031305

    [58]
    [59]
    [60]

    Huang D C, Feng Y D, Xie W M, Lu M, Wu H P, Hu F L, Deng K M 2012 Acta Phys. Sin. 61 124501 (in Chinese) [黄德财, 冯耀东, 解为梅, 陆明, 吴海平, 胡凤兰, 邓开明 2012 物理学报 61 124501]

计量
  • 文章访问数:  3436
  • PDF下载量:  474
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-02-17
  • 修回日期:  2014-03-04
  • 刊出日期:  2014-08-05

孤立波在一维复合颗粒链中传播特性的模拟研究

  • 1. 南京理工大学应用物理系, 南京 210094;
  • 2. 南京大学声学研究所, 近代声学教育部重点实验室, 南京 210093;
  • 3. 合肥师范学院物理与电子工程系, 合肥 230601
    基金项目: 国家自然科学基金(批准号:10904070,10847146,11174145,11334005)和南京理工大学青年学者基金(批准号:200705)资助的课题.

摘要: 采用分子动力学方法模拟研究了孤立波在重轻颗粒相间排列的一维复合颗粒链中的传播特性. 结果发现,在轻重颗粒的质量比较大或较小时,散射作用较弱,颗粒的速度和孤立波的速度衰减较慢. 在轻重颗粒的质量比为中等时,散射作用较强,颗粒的速度和孤立波的速度衰减较快. 孤立波在通过重-轻颗粒界面时,存在有增速效应,可以提高孤立波的传播速度. 并且,轻重颗粒的质量比越小增速效应越强. 在散射作用和增速效应的共同作用下,改变轻重颗粒的质量比可以调控孤立波在重-轻颗粒链中的传播时间.

English Abstract

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