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A systematic study about the cyclic segregation observed experimentally in a vertically vibrated quasi two-dimensional binary granular mixture is reported. The frequency-amplitude phase diagram was obtained, in which the region of cyclic segregation was found. We also measured the period of the cyclic segregation and showed the relationship between the period and total volume of granular mixture. Finally, the competition mechanism of percolation and condensation from Hong’s theory is used to explain the cyclic segregation and volume effect qualitatively.
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Keywords:
- granular matter /
- segregation /
- period
[1] Jiang Z H, Lu K Q, Hou M Y, Chen W, Chen X J 2003 Acta Phys. Sin. 52 2244 (in Chinese) [姜泽辉、 陆坤权、 厚美英、陈 唯、 陈湘君 2003 物理学报 52 2244]
[2] Lu K Q, Liu J X, Wu L 2004 Physics 33 629
[3] Yang X Q, Liu F, Jia Y, Deng M, Guo H P, Tang G 2010 Acta Phys. Sin. 59 1116 (in Chinese) [杨先清、 刘 甫、 贾 燕、 邓 敏、 郭海萍、 唐 刚 2010 物理学报 59 1116]
[4] Sun Q C, Jin F, Wang G Q, Zhang G H 2008 Acta Phys. Sin. 57 30 (in Chinese) [孙其诚、 金 峰、 王光谦、 张国华 2010 物理学报 57 30]
[5] Zhao L L, Liu C S, Yan J X, Xu Z P 2008 Acta Phys. Sin. 59 1870 (in Chinese) [赵啦啦、 刘初升、 闫俊霞、 徐志鹏 2010 物理学报 59 1870]
[6] Abdul Q, Shi Q F, Liang X W, Sun G 2010 Chin. Phys. B 19 034601
[7] Hermanm H J, Hovi J P, Luding S 1998 Physics of Dry Granular Media (Dordrecht, Boston, Londen: Kluwer Academic Publisher)
[8] Quinn P V, Hong D C, Luding S 2002 Phys. Rev. Lett. 89 189604
[9] Breu A P J, Ensner H M, Kruelle C A, Rehberg I 2003 Phys. Rev. Lett. 90 014302
[10] Knight J B, Jaeger H M, Nagel S R 1993 Phys. Rev. Lett. 70 3728
[11] Nahmad-Molinari Y, Canul-Chay G, Ruiz-Suarez J C 2003 Phys. Rev. E 68 041301
[12] Liff K, Muniandy K, Rhodes M,Gutteridge D, Metcalfe G 2001 Gran. Matt. 3 205
[13] Rosato A, Strandburg K J, Prinz F, Swendsen R H 1987 Phys. Rev. Lett. 58 1038
[14] Shinbrot T, Muzzio F J 1998 Phys. Rev. Lett. 81 4365
[15] Yan X, Shi Q, Hou M, Lu K, Chan C K 2003 Phys. Rev. Lett. 91 014302
[16] Hong D C, Quinn P V, Luding S 2001 Phys. Rev. Lett. 86 3423
[17] Quinn P V, Hong D C 2000 Phys. Rev. E 62 8295
[18] Burtally N, King P J, Swift M R, Leaper M 2003 Gran. Matt. 5 57
[19] Liang X W, Li L S, Hou Z G, Lü Z, Yang L, Sun G, Shi Q F 2008 Acta Phys. Sin. 57 2300 (in Chinese) [梁宣文、 李粮生、 侯兆国、 吕 震、 杨 雷、 孙 刚、 史庆藩 2010 物理学报 57 2300]
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[1] Jiang Z H, Lu K Q, Hou M Y, Chen W, Chen X J 2003 Acta Phys. Sin. 52 2244 (in Chinese) [姜泽辉、 陆坤权、 厚美英、陈 唯、 陈湘君 2003 物理学报 52 2244]
[2] Lu K Q, Liu J X, Wu L 2004 Physics 33 629
[3] Yang X Q, Liu F, Jia Y, Deng M, Guo H P, Tang G 2010 Acta Phys. Sin. 59 1116 (in Chinese) [杨先清、 刘 甫、 贾 燕、 邓 敏、 郭海萍、 唐 刚 2010 物理学报 59 1116]
[4] Sun Q C, Jin F, Wang G Q, Zhang G H 2008 Acta Phys. Sin. 57 30 (in Chinese) [孙其诚、 金 峰、 王光谦、 张国华 2010 物理学报 57 30]
[5] Zhao L L, Liu C S, Yan J X, Xu Z P 2008 Acta Phys. Sin. 59 1870 (in Chinese) [赵啦啦、 刘初升、 闫俊霞、 徐志鹏 2010 物理学报 59 1870]
[6] Abdul Q, Shi Q F, Liang X W, Sun G 2010 Chin. Phys. B 19 034601
[7] Hermanm H J, Hovi J P, Luding S 1998 Physics of Dry Granular Media (Dordrecht, Boston, Londen: Kluwer Academic Publisher)
[8] Quinn P V, Hong D C, Luding S 2002 Phys. Rev. Lett. 89 189604
[9] Breu A P J, Ensner H M, Kruelle C A, Rehberg I 2003 Phys. Rev. Lett. 90 014302
[10] Knight J B, Jaeger H M, Nagel S R 1993 Phys. Rev. Lett. 70 3728
[11] Nahmad-Molinari Y, Canul-Chay G, Ruiz-Suarez J C 2003 Phys. Rev. E 68 041301
[12] Liff K, Muniandy K, Rhodes M,Gutteridge D, Metcalfe G 2001 Gran. Matt. 3 205
[13] Rosato A, Strandburg K J, Prinz F, Swendsen R H 1987 Phys. Rev. Lett. 58 1038
[14] Shinbrot T, Muzzio F J 1998 Phys. Rev. Lett. 81 4365
[15] Yan X, Shi Q, Hou M, Lu K, Chan C K 2003 Phys. Rev. Lett. 91 014302
[16] Hong D C, Quinn P V, Luding S 2001 Phys. Rev. Lett. 86 3423
[17] Quinn P V, Hong D C 2000 Phys. Rev. E 62 8295
[18] Burtally N, King P J, Swift M R, Leaper M 2003 Gran. Matt. 5 57
[19] Liang X W, Li L S, Hou Z G, Lü Z, Yang L, Sun G, Shi Q F 2008 Acta Phys. Sin. 57 2300 (in Chinese) [梁宣文、 李粮生、 侯兆国、 吕 震、 杨 雷、 孙 刚、 史庆藩 2010 物理学报 57 2300]
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