A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture

doi:10.1088/1674-1056/19/5/056404

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 56404-056404.doi: 10.1088/1674-1056/19/5/056404

A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture

夏继宏, 尤玉伟, 汪盼盼, 王炜路, 刘长松

Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031, China

收稿日期:2009-07-17 修回日期:2009-09-29 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10674135), and by the Centre for Computational Science, Hefei Institutes of Physical Sciences, China.

A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture

Xia Ji-Hong(夏继宏), You Yu-Wei(尤玉伟), Wang Pan-Pan(汪盼盼), Wang Wei-Lu(王炜路), and Liu Chang-Song(刘长松)^†

Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031, China

Received:2009-07-17 Revised:2009-09-29 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10674135), and by the Centre for Computational Science, Hefei Institutes of Physical Sciences, China.

摘要/Abstract

摘要： This paper performs the two-dimensional, soft-sphere molecular dynamics simulations to study the granular segregation in a binary granular mixture with the same size but different density in the container with the sawtooth base under horizontal vibration. The segregation phase diagram is presented in the acceleration-frequency space. When the acceleration is high enough to result in relative motions of the particles, the system can be in various states (mixed state, vertical and horizontal segregation state), which depend on both acceleration and frequency. Due to the sawtooth base there is stratified flow effect besides density effect. The density effect raises the light particles. The stratified flow drives the particles in the upper levels to the right and the particles in the lower particles to the left, those fact results in the appearance of the left segregation state. The left segregation state can be changed to the right segregation by changing the shape of the sawtooth. As the vibration frequency increases, the stratified flow effect becomes weaker and weaker, so at high vibration frequencies the vertical segregation state appears instead of the left segregation state.

Abstract: This paper performs the two-dimensional, soft-sphere molecular dynamics simulations to study the granular segregation in a binary granular mixture with the same size but different density in the container with the sawtooth base under horizontal vibration. The segregation phase diagram is presented in the acceleration-frequency space. When the acceleration is high enough to result in relative motions of the particles, the system can be in various states (mixed state, vertical and horizontal segregation state), which depend on both acceleration and frequency. Due to the sawtooth base there is stratified flow effect besides density effect. The density effect raises the light particles. The stratified flow drives the particles in the upper levels to the right and the particles in the lower particles to the left, those fact results in the appearance of the left segregation state. The left segregation state can be changed to the right segregation by changing the shape of the sawtooth. As the vibration frequency increases, the stratified flow effect becomes weaker and weaker, so at high vibration frequencies the vertical segregation state appears instead of the left segregation state.

Key words: granular systems, segregation, molecular dynamics methods

中图分类号: (Phase equilibria)

64.75.-g

81.30.Dz (Phase diagrams of other materials) 81.05.Rm (Porous materials; granular materials) 81.40.Jj (Elasticity and anelasticity, stress-strain relations) 62.20.D- (Elasticity)

夏继宏, 尤玉伟, 汪盼盼, 王炜路, 刘长松. A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture[J]. 中国物理B, 2010, 19(5): 56404-056404.

Xia Ji-Hong(夏继宏), You Yu-Wei(尤玉伟), Wang Pan-Pan(汪盼盼), Wang Wei-Lu(王炜路), and Liu Chang-Song(刘长松). A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture[J]. Chin. Phys. B, 2010, 19(5): 56404-056404.

参考文献 26

[1]	Jaeger H M, Nagel S R and Behringer R P 1996 Phys. Today 49 32
[2]	Hou M, Tu H, Liu R, Li Y, Lu K, Lai P Y and Chan C K 2008 Phys. Rev. Lett. 100 068001
[3]	Chen K C, Li C C, Lin C H, Ju L M and Yeh C S 2008 J. Phys. Soc. Jpn. 77 084403
[4]	Douglas R, Goldenson N and Voth G A 2006 Phys. Rev. E 74 051307
[5]	He K J, Li Y Y, Xia W, Zhong W Z and Zhou Z Y 2009 Acta Phys. Sin. 58 21 (in Chinese)
[6]	Bizon C, Shattuck M D, Swift J B, McCormick W D and Swinney H L 1998 Phys. Rev. Lett. 80 57
[7]	Cl\'{ement E, Vanel L, Rajchenbach J and Duran J 1996 Phys. Rev. E 53 2972
[8]	Luding S, Cl\'{ement E, Rajchenbach J and Duran J 1996 Europhys. Lett. 36 247
[9]	Rosato A, Strandburg K J, Prinz F and Swendsen R H 1987 Phys. Rev. Lett. 58 1038
[10]	Ottino J M and Khakhar D V 2000 Annu. Rev. Fluid Mech. 32 55
[11]	Hong D C, Quinn P V and Luding S 2001 Phys. Rev. Lett. 86 3423
[12]	Fang X and Tang J 2007 Journal of Vibration and Control 13 711
[13]	Godoy S, Risso D, Soto R and Cordero P 2008 Phys. Rev. E 78 031301
[14]	Hu M B, Kong X Z, Wu Q S and Wu Y H 2005 Chin. Phys. 14 1844
[15]	Jiang M Q, Zhao Y Z and Zheng J Y 2009 Acta Phys. Sin. 58 1812 (in Chinese)
[16]	Chen W, Chen X J, Hou M Y, Jiang Z H and Lu K Q 2003 Acta Phys. Sin. 52 2244 (in Chinese)
[17]	Farkas Z, Tegzes P, Vukics A and Vicsek T 1999 Phys. Rev. E 60 7022
[18]	Der\'{enyi I, Tegzes P and Vicsek T 1998 Chaos 8 657
[19]	Farkas Z, Szalai F, Wolf D E and Vicsek T 2002 Phys. Rev. E 65 022301
[20]	Rapaport D C 2001 Phys. Rev. E 64 061304
[21]	Levanon M and Rapaport D C 2001 Phys. Rev. E 64 011304
[22]	Wambaugh J F, Reichhardt C and Olson C J 2002 Phys. Rev. E 65 031308
[23]	Gallas J A C, Herrmann H J and Sokolowski S 1992 J. Phys. II 2 1389
[24]	Cundall P A and Strack O D L 1979 Geotechnique 29 47
[25]	Kong X Z, Hu M B, Wu Q S and Wu Y H 2006 Phys. Lett. A 256 267
[26]	Shi Q, Sun G, Hou M and Lu K 2007 Phys. Rev. E 75 061302

A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture

A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 26

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yanjun Liu(刘彦君), Rui Wang(王瑞), Cai Zhao(赵偲), and Wen Zheng(郑文). Graph dynamical networks for forecasting collective behavior of active matter[J]. 中国物理B, 2022, 31(11): 116401-116401.
[2]	白晓军, 汪姚岑, 曹崇德. Metastable phase separation and rapid solidification of undercooled Co₄₀Fe₄₀Cu₂₀ alloy[J]. 中国物理B, 2018, 27(11): 116402-116402.
[3]	张付珍, 薛红涛, 汤富领, 李小康, 路文江, 冯煜东. Phase equilibrium of Cd_1-xZn_xS alloys studied by first-principles calculations and Monte Carlo simulations[J]. 中国物理B, 2016, 25(1): 13103-013103.
[4]	胡启昌, 陈业青, 吕佩文, 黄丰, 王娴. Subsolidus phase relation in the Bi₂O₃–Fe₂O₃–La₂O₃ system[J]. 中国物理B, 2014, 23(2): 26402-026402.
[5]	陈业青, 李蕾, 任其, 朱航天, 梁敬魁, 骆军, 李静波, 饶光辉. Phase relations in the ZnO-V₂O₅-K₂O system[J]. 中国物理B, 2011, 20(7): 76402-076402.
[6]	何红弟, 卢伟真, 董力耘. An improved cellular automaton model considering the effect of traffic lights and driving behaviour[J]. 中国物理B, 2011, 20(4): 40514-040514.
[7]	徐闰, 贡伟明, 阎志军, 王林军, 夏义本. Thermal stability of HfO₂/Si (001) films prepared by electron beam evaporation in ultrahigh vacuum using atomic oxygen[J]. 中国物理B, 2010, 19(12): 128204-128204.
[8]	欧阳顺利, 吴楠楠, 刘靖尧, 孙成林, 里佐威, 高淑琴. Investigation of hydrogen bonding in neat dimethyl sulfoxide and binary mixture (dimethyl sulfoxide + water) by concentration-dependent Raman study and ab initio calculation[J]. 中国物理B, 2010, 19(12): 123101-123101.
[9]	肖绪洋. Irregular phenomenon induced by Ag atomic segregation during the heating process of Ag–Pd cluster[J]. 中国物理B, 2010, 19(11): 113604-114203.
[10]	徐庆宇, 郑晓红, 龚佑品. Paramagnetism in Cu-doped ZnO[J]. 中国物理B, 2010, 19(7): 77501-077501.
[11]	张然, 彭增辉, 刘永刚, 郑致刚, 宣丽. Rotational viscosity of a liquid crystal mixture: a fully atomistic molecular dynamics study[J]. 中国物理B, 2009, 18(10): 4380-4384.
[12]	王聪, 王崇愚. Effect of alloying Re and Ru in the edge-dislocation core of the Ni/Ni₃Al interface[J]. 中国物理B, 2009, 18(9): 3928-3933.
[13]	孙亮, 张青川, 曹鹏涛. Influence of solute cloud and precipitates on spatiotemporal characteristics of Portevin-Le Chatelier effect in A2024 aluminum alloys[J]. 中国物理B, 2009, 18(8): 3500-3507.
[14]	戴晔, 邱建荣. The photosensitive effect of Ce on the precipitation of Ag nanoparticles induced by femtosecond laser in silicate glass[J]. 中国物理B, 2009, 18(7): 2858-2863.
[15]	王喜娜, 王勇, 邹进, 张天冲, 梅增霞, 郭阳, 薛其坤, 杜小龙, 张晓娜, 韩晓东, 张泽. Thermal stability of Mg₂Si epitaxial film formed on Si(111) substrate by solid phase reaction[J]. 中国物理B, 2009, 18(7): 3079-3083.