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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.
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Keywords:
- granular chain /
- solitary wave /
- molecular dynamics method
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[41] Tichler A M, Gómez L R, Upadhyaya N, Campaman X, Nesterenko V F, Vitelli V 2013 Phys. Rev. Lett. 111 048001
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[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]
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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]
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