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For a vertically vibrating column filled with binary mixtures consisting of big copper beads and small glass beads, the phenomenon of periodic segregation (PS) is observed experimentally, in which distinct segregation patterns of Brazil nut effect (BNE), reversed Brazil nut (RBN) and sandwich (SW) are emerged successively under a certain vibration condition. The periodic time increases with increasing vibration frequency or decreasing acceleration, and the SW pattern holds 90% duration of a cycle. Since the three segregation patterns emerging sequentially in a cycle are all well defined, the energy dissipation power for each segregation pattern is measured under the same vibration condition. It is found that the dissipation power is the largest in RBN pattern and the smallest in BNE pattern during a cycle. Moreover, in the periodic segregation region the same patterns (BNE, RBN or SW) emerging at different vibration accelerations have almost the same dissipation power within the experimental error. Based on the viewpoint of competition between condensation and percolation from Hong, the periodic segregation phenomenon can be explained qualitatively by combining with our measurements of energy dissipation power.
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Keywords:
- granular matter /
- energy dissipation /
- segregation
[1] Aranson I S, Tsimring L S 2006 Rev. Mod. Phys. 78 641
[2] LiY, Liu R, Hou M 2012 Phys. Rev. Lett. 109 198001
[3] Kudrolli A 2004 Rep. Prog. Phys. 67 209
[4] Shi Q, Yan X, Hou M, Niu X, Lu K 2003 Chin. Sci. Bull. 48 627
[5] Hong D C, Quinn P V, Luding S 2001 Phys. Rev. Lett. 86 3423
[6] Rohit A I 2008 Ph.D. Dissertation (New York: City University of New York)
[7] Shi Q, Sun G, Hou M, Lu Q 2007 Phys. Rev. E 75 061302
[8] Peng Z, Jiang Y, Liu R, Hou M 2013 Acta Phys. Sin. 62 024502 (in Chinese) [彭政, 蒋亦民, 刘锐, 厚美瑛 2013 62 024502]
[9] Liang X W, Li L S, Hou Z G, Lv Z, Yang L, Sun G, Shi Q F 2008 Acta Phys. Sin. 57 2300 (in Chinese) [粱宣文, 李粮生, 候兆国, 吕震, 杨雷, 孙刚, 史庆藩 2008 57 2300]
[10] Burtally N, King P J, Swift M R, Leaper M 2003 Granular Matter 5 57
[11] Du S, Shi Q, Sun G, Li L, Zheng N 2011 Phys. Rev. E 84 041307
[12] Sack A, Heckel M, Kollmer J E, Zimber F, Pöschel T 2013 Phys. Rev. Lett. 111 018001
[13] Yang M Y 2003 PhD Dissertation (Pennsylvania: The Pennsylvania State University)
[14] Canul-Chay G A, Belmont P A, Nahmad-Molinari Y, Ruiz-Suarez J C 2002 Phys. Rev. Lett. 89 189601
[15] Liu C P, Wang L, Zhang F W 2014 Acta Phys. Sin. 63 044502 (in Chinese) [刘传平, 王立, 张富翁 2014 63 044502]
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[1] Aranson I S, Tsimring L S 2006 Rev. Mod. Phys. 78 641
[2] LiY, Liu R, Hou M 2012 Phys. Rev. Lett. 109 198001
[3] Kudrolli A 2004 Rep. Prog. Phys. 67 209
[4] Shi Q, Yan X, Hou M, Niu X, Lu K 2003 Chin. Sci. Bull. 48 627
[5] Hong D C, Quinn P V, Luding S 2001 Phys. Rev. Lett. 86 3423
[6] Rohit A I 2008 Ph.D. Dissertation (New York: City University of New York)
[7] Shi Q, Sun G, Hou M, Lu Q 2007 Phys. Rev. E 75 061302
[8] Peng Z, Jiang Y, Liu R, Hou M 2013 Acta Phys. Sin. 62 024502 (in Chinese) [彭政, 蒋亦民, 刘锐, 厚美瑛 2013 62 024502]
[9] Liang X W, Li L S, Hou Z G, Lv Z, Yang L, Sun G, Shi Q F 2008 Acta Phys. Sin. 57 2300 (in Chinese) [粱宣文, 李粮生, 候兆国, 吕震, 杨雷, 孙刚, 史庆藩 2008 57 2300]
[10] Burtally N, King P J, Swift M R, Leaper M 2003 Granular Matter 5 57
[11] Du S, Shi Q, Sun G, Li L, Zheng N 2011 Phys. Rev. E 84 041307
[12] Sack A, Heckel M, Kollmer J E, Zimber F, Pöschel T 2013 Phys. Rev. Lett. 111 018001
[13] Yang M Y 2003 PhD Dissertation (Pennsylvania: The Pennsylvania State University)
[14] Canul-Chay G A, Belmont P A, Nahmad-Molinari Y, Ruiz-Suarez J C 2002 Phys. Rev. Lett. 89 189601
[15] Liu C P, Wang L, Zhang F W 2014 Acta Phys. Sin. 63 044502 (in Chinese) [刘传平, 王立, 张富翁 2014 63 044502]
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