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对于玻璃珠组成的颗粒介质样品, 本文测量了横波和纵波声速, 同时分析了剪切模量(G)与体积模量(B)的比值(G/B)随压强的变化规律. 结果表明, 在低压强下, 颗粒体系的纵波声速(cL )明显大于横波声速(cT ), 且体系的cL, cT 及G/B均随压强p变化呈幂律标度, 即cL p0.3817, cT p0.2809, G/B p-0.4539, 幂指数与文献[1]中预言的-1/2非常接近, 暗示在我们实验压强范围内的颗粒样品处于L玻璃状态. 此外, 本文还利用快速傅里叶变换法测量了玻璃珠样品中的声学衰减特性及二阶谐波随压强的变化, 发现: 纵波声衰减系数()、 接收端二倍频振幅(2 )与基频振幅(1 ) 平方的比值(2/12 ) 均随压强的增大而幂率减小, 分别为 p-0.1879和 2/12 p-0.866.
[1] Wang X, Zheng W, Wang L, Xu N 2015 Phys. Rev. Lett. 114 035502
[2] O'Hern C S, Silbert L E, Liu A J, Nagel S R 2003 Phys. Rev. E 68 011306
[3] Ikeda A, Berthier L 2015 Phys. Rev. E 92 012309
[4] Zhang Q, Li Y C, Liu R, Jiang Y M, Hou M Y 2012 Acta Phys. Sin. 61 301 (in Chinese) [张祺, 李寅阊, 刘锐, 蒋亦民, 厚美瑛 2012 物理学报 61 301]
[5] Zhang Q, Li Y, Hou M, Jiang Y, Liu M 2012 Phys. Rev. E 85 031306
[6] Merkel A, Tournat V, Gusev V 2014 Phys. Rev. E 90 023206
[7] Zheng H P 2014 Chin. Phys. B 23 054503
[8] Jia X, Caroli C, Velicky B 1999 Phys. Rev. Lett. 82 1863
[9] Lherminier S, Planet R, Simon G, Vanel L, Ramos O 2014 Phys. Rev. Lett. 113 098001
[10] Xu N 2011 Frontiers of Physics 6 109
[11] Somfai E, van Hecke M, Ellenbroek W G, Shundyak K, van Saarloos W 2007 Phys. Rev. E 75 020301
[12] Makse H A, Gland N, Johnson D L, Schwartz L 2004 Phys. Rev. E 70 061302
[13] Zaccone A, Terentjev E M 2014 J. Appl. Phys. 115 033510
[14] Zhang Z, Chen G, Zhang D 2014 Chin. Phys. B 23 054302
[15] Huang D C, Chen W Z, Yang A N, Sun M, Hu F L, Zhao M 2014 Acta Phys. Sin. 63 154502 (in Chinese) [黄德财, 陈伟中, 杨安娜, 孙敏, 胡凤兰, 赵敏 2014 物理学报 63 154502]
[16] Langlois V, Jia X 2015 Phys. Rev. E 91 022205
[17] Brunet T, Jia X, Mills P 2008 Phys. Rev. Lett. 101 138001
[18] Brunet T, Jia X, Johnson P A 2008 Geophys. Res. Lett. 35 L19308
[19] Deng J, Wang S X, Han D H 2009 J. Geophys. Eng. 6 269
[20] Miksic A, Alava M J 2013 Phys. Rev. E 88 032207
[21] Johnson K L 1985 Contact Mechanics (Cambridge: Cambridge University Press)
[22] Khidas Y, Jia X 2010 Phys. Rev. E 81 021303
[23] Somfai E, Roux J N, Snoeijer J, van Hecke M, van Saarloos W 2005 Phys. Rev. E 72 021301
[24] Tighe B 2011 Phys. Rev. Lett. 107 158303
[25] Basu A, Xu Y, Still T, Arratia P E, Zhang Z, Nordstrom K N, Rieser J M, Gollub J P, Durian D J, Yodh A G 2014 Soft Matter 10 3027
[26] Goodrich C P, Liu A J, Nagel S R 2014 Nat. Phys. 10 578
[27] Vitelli V 2010 Soft Matter 6 3007
[28] Hong J 2005 Phys. Rev. Lett. 94 108001
[29] Wang P J, Xia J H, Li Y D, Liu C S 2007 Phys. Rev. E 76 041305
[30] Wang P J, Li Y D, Xia J H, Liu C S 2008 Phys. Rev. E 77 060301
[31] Thomas Brunet X J, Paul J 2006 French Acoustical Society 2006 Meeting, Paris 475
[32] Wildenberg S V D, Hecke M V, Jia X 2013 Europhys. Lett. 101 14004
[33] Renaud G, Calle S, Defontaine M 2010 J. Acoust. Soc. Am. 128 3344
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[1] Wang X, Zheng W, Wang L, Xu N 2015 Phys. Rev. Lett. 114 035502
[2] O'Hern C S, Silbert L E, Liu A J, Nagel S R 2003 Phys. Rev. E 68 011306
[3] Ikeda A, Berthier L 2015 Phys. Rev. E 92 012309
[4] Zhang Q, Li Y C, Liu R, Jiang Y M, Hou M Y 2012 Acta Phys. Sin. 61 301 (in Chinese) [张祺, 李寅阊, 刘锐, 蒋亦民, 厚美瑛 2012 物理学报 61 301]
[5] Zhang Q, Li Y, Hou M, Jiang Y, Liu M 2012 Phys. Rev. E 85 031306
[6] Merkel A, Tournat V, Gusev V 2014 Phys. Rev. E 90 023206
[7] Zheng H P 2014 Chin. Phys. B 23 054503
[8] Jia X, Caroli C, Velicky B 1999 Phys. Rev. Lett. 82 1863
[9] Lherminier S, Planet R, Simon G, Vanel L, Ramos O 2014 Phys. Rev. Lett. 113 098001
[10] Xu N 2011 Frontiers of Physics 6 109
[11] Somfai E, van Hecke M, Ellenbroek W G, Shundyak K, van Saarloos W 2007 Phys. Rev. E 75 020301
[12] Makse H A, Gland N, Johnson D L, Schwartz L 2004 Phys. Rev. E 70 061302
[13] Zaccone A, Terentjev E M 2014 J. Appl. Phys. 115 033510
[14] Zhang Z, Chen G, Zhang D 2014 Chin. Phys. B 23 054302
[15] Huang D C, Chen W Z, Yang A N, Sun M, Hu F L, Zhao M 2014 Acta Phys. Sin. 63 154502 (in Chinese) [黄德财, 陈伟中, 杨安娜, 孙敏, 胡凤兰, 赵敏 2014 物理学报 63 154502]
[16] Langlois V, Jia X 2015 Phys. Rev. E 91 022205
[17] Brunet T, Jia X, Mills P 2008 Phys. Rev. Lett. 101 138001
[18] Brunet T, Jia X, Johnson P A 2008 Geophys. Res. Lett. 35 L19308
[19] Deng J, Wang S X, Han D H 2009 J. Geophys. Eng. 6 269
[20] Miksic A, Alava M J 2013 Phys. Rev. E 88 032207
[21] Johnson K L 1985 Contact Mechanics (Cambridge: Cambridge University Press)
[22] Khidas Y, Jia X 2010 Phys. Rev. E 81 021303
[23] Somfai E, Roux J N, Snoeijer J, van Hecke M, van Saarloos W 2005 Phys. Rev. E 72 021301
[24] Tighe B 2011 Phys. Rev. Lett. 107 158303
[25] Basu A, Xu Y, Still T, Arratia P E, Zhang Z, Nordstrom K N, Rieser J M, Gollub J P, Durian D J, Yodh A G 2014 Soft Matter 10 3027
[26] Goodrich C P, Liu A J, Nagel S R 2014 Nat. Phys. 10 578
[27] Vitelli V 2010 Soft Matter 6 3007
[28] Hong J 2005 Phys. Rev. Lett. 94 108001
[29] Wang P J, Xia J H, Li Y D, Liu C S 2007 Phys. Rev. E 76 041305
[30] Wang P J, Li Y D, Xia J H, Liu C S 2008 Phys. Rev. E 77 060301
[31] Thomas Brunet X J, Paul J 2006 French Acoustical Society 2006 Meeting, Paris 475
[32] Wildenberg S V D, Hecke M V, Jia X 2013 Europhys. Lett. 101 14004
[33] Renaud G, Calle S, Defontaine M 2010 J. Acoust. Soc. Am. 128 3344
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