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The effects of particle density on the segregation of binary granular systems in a rotating drum are studied by the molecular dynamics simulation. The results show that the Brazil nut effect happens when the density of small granules is larger, whereas as the density of big granule increases, the segregation pattern is reversed and the reverse Brazil nut effect occurs. We also calculate the quantitative relationship between the segregation index and the density ratio. Finally, the mechanism of competition between percolation and condensation from Hong's theory is used to explain theoretically the reversion of segregation pattern.
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Keywords:
- granular matter /
- Brazil nut effect /
- segregation index
[1] Lu K Q, Liu J X, 2004 Chin. Phys. 33 629, 713 (in Chinese)[陆坤权, 刘寄星 2004 物理 33 629, 713]
[2] Bursik M, Patra A, Pitman E B, Nichita C, Macias J. L Saucedo R, Girina O 2005 Rep. Prog. Phys. 68 271
[3] Shi Q F, Sun G, Hou M, Lu K 2007 Phys. Rev. E 75 061302
[4] Schnauta T, Brito R, Kruelle C A, Rehberg I 2005 Phys. Rev. Lett. 95 028001
[5] Chen P F, Ottino J M, and Lueptow R M 2010 Phys. Rev. Lett. 104 188002
[6] Rosato A, Strandburg K L, Prinz F, Swendsen R H 1987 Phys. Rev. Lett. 58 138
[7] MobiusME, Lauderdale B E, Nagel S R, Jaeger HM2001 Nature 414 270
[8] Hong D C, Quinn P V, Luding S 2001 Phys. Rev. Lett. 86 3423
[9] Schroter M, Ulrich S, Kreft J, Swift J B, Swinney H L 2006 Phys. Rev. E 74 011307
[10] Wu Y H, Zheng N, Wen P P, Li L S, Shi Q F, Sun G 2011 Acta Phys. Sin. 60 024501 (in Chinese)[吴宇航, 郑宁, 文平平, 李粮生, 史庆藩, 孙刚 2011 60 024501]
[11] Meier S W, Barreiro D A M, Ottino J M, Lueptow R M 2008 Nature Phys. 4 244
[12] Inagaki S, Yoshikawa K 2001 Phys. Rev. Lett. 86 3423
[13] Seiden G, Ungarish M, Lipson S G 2007 Phys. Rev. E 76 026221
[14] Khan Z S, Morris S W 2005 Phys. Rev. Lett. 94 048002
[15] Hill K M, Gioia G, Amaravadi D 2004 Phys. Rev. Lett. 93 224301
[16] Hill K M, Zhang J 2008 Phys. Rev. E 77 061303
[17] Jain N, Ottino J M, Lueptow R M 2005 Granular Matter 7 69
[18] Jain N, Ottino J M, Lueptow R M 2008 Phys. Rev. E 71 051301
[19] Kuwabara G, Kono K 1987 Jpn. J. Appl. Phys. I 26 1230
[20] Schafer J, Dippel S, Wolf D E 1996 J. Phys. I 6 5
[21] Breu A P J, Ensner H M, Kruelle C A, Rehberg I 2003 Phys. Rev. Lett. 90 014302
[22] Li C Y, Lu B J, 1996 Fine Chemical Equipment (Beijing: Chemistry Press) (in Chinese)[李春燕, 陆辟疆 1996 精细化工装备 (北京: 化学化工出版社) 第194页]
[23] Huang D C, Lu M, Zhao S X 2011 Chinese J. Comput. Phys. 28 445 (in Chinese)[黄德财, 陆明, 赵省向 2011 计算物理 28 445]
[24] Lacey P M C 1954 J. Appl. Chem. 4 257
[25] Renzo A B, Maio F P, Girimonte R, Formisani B 2008 Powder Technol. 184 214
[26] Hogg R 2009 Kona Powder and Particle J. 27 3
[27] Zhao Y Z, Zhang X Q, Liu Y L, Zhen J Y 2009 Acta Phys Sin. 58 8386 (in Chinese)[赵永志, 张宪旗, 刘延雷, 郑津洋 2009 58 8386]
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[1] Lu K Q, Liu J X, 2004 Chin. Phys. 33 629, 713 (in Chinese)[陆坤权, 刘寄星 2004 物理 33 629, 713]
[2] Bursik M, Patra A, Pitman E B, Nichita C, Macias J. L Saucedo R, Girina O 2005 Rep. Prog. Phys. 68 271
[3] Shi Q F, Sun G, Hou M, Lu K 2007 Phys. Rev. E 75 061302
[4] Schnauta T, Brito R, Kruelle C A, Rehberg I 2005 Phys. Rev. Lett. 95 028001
[5] Chen P F, Ottino J M, and Lueptow R M 2010 Phys. Rev. Lett. 104 188002
[6] Rosato A, Strandburg K L, Prinz F, Swendsen R H 1987 Phys. Rev. Lett. 58 138
[7] MobiusME, Lauderdale B E, Nagel S R, Jaeger HM2001 Nature 414 270
[8] Hong D C, Quinn P V, Luding S 2001 Phys. Rev. Lett. 86 3423
[9] Schroter M, Ulrich S, Kreft J, Swift J B, Swinney H L 2006 Phys. Rev. E 74 011307
[10] Wu Y H, Zheng N, Wen P P, Li L S, Shi Q F, Sun G 2011 Acta Phys. Sin. 60 024501 (in Chinese)[吴宇航, 郑宁, 文平平, 李粮生, 史庆藩, 孙刚 2011 60 024501]
[11] Meier S W, Barreiro D A M, Ottino J M, Lueptow R M 2008 Nature Phys. 4 244
[12] Inagaki S, Yoshikawa K 2001 Phys. Rev. Lett. 86 3423
[13] Seiden G, Ungarish M, Lipson S G 2007 Phys. Rev. E 76 026221
[14] Khan Z S, Morris S W 2005 Phys. Rev. Lett. 94 048002
[15] Hill K M, Gioia G, Amaravadi D 2004 Phys. Rev. Lett. 93 224301
[16] Hill K M, Zhang J 2008 Phys. Rev. E 77 061303
[17] Jain N, Ottino J M, Lueptow R M 2005 Granular Matter 7 69
[18] Jain N, Ottino J M, Lueptow R M 2008 Phys. Rev. E 71 051301
[19] Kuwabara G, Kono K 1987 Jpn. J. Appl. Phys. I 26 1230
[20] Schafer J, Dippel S, Wolf D E 1996 J. Phys. I 6 5
[21] Breu A P J, Ensner H M, Kruelle C A, Rehberg I 2003 Phys. Rev. Lett. 90 014302
[22] Li C Y, Lu B J, 1996 Fine Chemical Equipment (Beijing: Chemistry Press) (in Chinese)[李春燕, 陆辟疆 1996 精细化工装备 (北京: 化学化工出版社) 第194页]
[23] Huang D C, Lu M, Zhao S X 2011 Chinese J. Comput. Phys. 28 445 (in Chinese)[黄德财, 陆明, 赵省向 2011 计算物理 28 445]
[24] Lacey P M C 1954 J. Appl. Chem. 4 257
[25] Renzo A B, Maio F P, Girimonte R, Formisani B 2008 Powder Technol. 184 214
[26] Hogg R 2009 Kona Powder and Particle J. 27 3
[27] Zhao Y Z, Zhang X Q, Liu Y L, Zhen J Y 2009 Acta Phys Sin. 58 8386 (in Chinese)[赵永志, 张宪旗, 刘延雷, 郑津洋 2009 58 8386]
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