Please wait a minute...
Chin. Phys. B, 2014, Vol. 23(7): 076301    DOI: 10.1088/1674-1056/23/7/076301

Effect of size polydispersity on the structural and vibrational characteristics of two-dimensional granular assemblies

Zhang Guo-Hua (张国华)a, Sun Qi-Cheng (孙其诚)b, Shi Zhi-Ping (石志萍)a, Feng Xu (冯旭)a, Gu Qiang (顾强)a, Jin Feng (金峰)b
a Department of Physics, University of Science and Technology Beijing, Beijing 100083, China;
b State Key Laboratory for Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
Abstract  Two-dimensional disordered granular assemblies composed of 2048 polydispersed frictionless disks are simulated using the discrete element method. The height of the first peak of the pair correlation function, g1, the local and global bond orientational parameters ψ6l and ψ6g, and the fluctuations of these parameters decrease with increasing polydispersity s, implying the transition from a polycrystalline state to an amorphous state in the system. As s increases, the peak position of the boson peak ωBP shifts towards a lower frequency and the intensity of the boson peak D(ωBP)/ωBP increases, indicating that the position and the strength of the boson peak are controlled by the polydispersity of the system. Moreover, the inverse of the boson peak intensity ωBP/D(ωBP), the shear modulus G, and the basin curvature SIS all have a similar dependence on s, implying that the s dependence of the vibrational density of states at low frequencies likely originates from the s dependence of the basin curvature.
Keywords:  granular matter      vibrational characteristics      size polydispersity      structural characteristics  
Received:  12 November 2013      Revised:  12 March 2014      Accepted manuscript online: 
PACS:  63.50.-x (Vibrational states in disordered systems)  
  45.70.-n (Granular systems)  
  61.43.-j (Disordered solids)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11272048, 51239006, and 11034010), the European Commission Marie Curie Actions (Grant No. IRSES-294976), and the National Basic Research Program of China (Grant No. 2010CB731504).
Corresponding Authors:  Zhang Guo-Hua     E-mail:
About author:  63.50.-x; 45.70.-n; 61.43.-j

Cite this article: 

Zhang Guo-Hua (张国华), Sun Qi-Cheng (孙其诚), Shi Zhi-Ping (石志萍), Feng Xu (冯旭), Gu Qiang (顾强), Jin Feng (金峰) Effect of size polydispersity on the structural and vibrational characteristics of two-dimensional granular assemblies 2014 Chin. Phys. B 23 076301

[1] O'Hern C S, Silbert L E and Nagel S R 2003 Phys. Rev. E 68 011306
[2] Silbert L E, Liu A J and Nagel S R 2005 Phys. Rev. Lett. 95 098301
[3] Wyart M, Nagel S R and Witten T A 2005 Europhys. Lett. 72 486
[4] Silbert L E, Liu A J and Nagel S R 2009 Phys. Rev. E 79 021308
[5] Wyart M, Silbert L and Nagel S 2005 Phys. Rev. E 72 051306
[6] Stavrou E, Raptis C and Syassen K 2010 Phys. Rev. B 81 174202
[7] Srivastava D and Sarkar S K 2012 Phys. Rev. B 85 024206
[8] Gurevich V L, Parshin D A and Schober H R 2005 Phys. Rev. B 71 014209
[9] Chen K, Ellenbroek W G, Zhang Z, Chen D T, Yunker P J, Henkes S, Brito C, Dauchot O, van Saarloos W, Liu A J and Yodh A G 2010 Phys. Rev. Lett. 105 025501
[10] Shintani H and Tanaka H 2008 Nat. Mater. 7 870
[11] Laird B and Schober H 1991 Phys. Rev. Lett. 66 636
[12] Schober H R and Oligschleger C 1996 Phys. Rev. B 53 11469
[13] Rufflé B, Parshin D A, Courtens E and Vacher R 2008 Phys. Rev. Lett. 100 015501
[14] Tanguy A, Wittmer J P, Leonforte F and Barrat J L 2002 Phys. Rev. B 66 174205
[15] Chumakov A I, Monaco G, Monaco A, Crichton W A, Bosak A, Rüffer R, Meyer A, Kargl F, Comez L, Fioretto D, Giefers H, Roitsch S, Wortmann G, Manghnani M H, Hushur A, Williams Q, Balogh J, Parliński K, Jochym P and Piekarz P 2011 Phys. Rev. Lett. 106 225501
[16] Schirmacher W, Diezemann G and Ganter C 1998 Phys. Rev. Lett. 81 136
[17] Léonforte F, Tanguy A, Wittmer J P and Barrat J L 2006 Phys. Rev. Lett. 97 055501
[18] Rufflé B, Guimbretiére G, Courtens E, Vacher R and Monaco G 2006 Phys. Rev. Lett. 96 045502
[19] Abraham S E, Bhattacharrya S M and Bagchi B 2008 Phys. Rev. Lett. 100 167801
[20] Henkes S, Hecke M V and Saarloos W V 2010 Europhys. Lett. 90 14003
[21] Schreck C F, Bertrand T, O'Hern C S and Shattuck M D 2011 Phys. Rev. Lett. 107 078301
[22] Silbert L, Liu A and Nagel S 2006 Phys. Rev. E 73 041304
[23] Schreck C F, O'Hern C S and Silbert L E 2011 Phys. Rev. E 84 011305
[24] Steinhardt P J, Nelson D R and Ronchetti M 1983 Phys. Rev. B 28 784
[25] Sollich P and Wilding N B 2010 Phys. Rev. Lett. 104 118302
[26] Xu N, Vitelli V, Liu A J and Nagel S R 2010 Europhys. Lett. 90 56001
[27] Abraham S E and Bagchi B 2010 Phys. Rev. E 81 031506
[28] Rovigatti L, Kob W and Sciortino F 2011 The Journal of Chemical Physics 135 104502
[29] Derlet P M, Maaβ R and Löffler J F 2012 Euro. Phys. J. B 85 1
[30] Sastry S, Debenedetti P G and Stillinger F H 1998 Nature 393 554
[31] Giovambattista N, Stanley H E and Sciortino F 2003 Phys. Rev. Lett. 91 115504
[32] Mossa S, La Nave E, Stanley H E, Donati C, Sciortino F and Tartaglia P 2002 Phys. Rev. E 65 041205
[33] Flores-Ruiz H M and Naumis G G 2011 Phys. Rev. B 83 184204
[1] Resistance law of a rod penetrating a multilayer granular raft
Zonglin Li(李宗霖), Qiang Tian(田强), and Haiyan Hu(胡海岩). Chin. Phys. B, 2023, 32(3): 034501.
[2] Correlation mechanism between force chains and friction mechanism during powder compaction
Ning Zhang(张宁), Shuai Zhang(张帅), Jian-Jun Tan(谈健君), and Wei Zhang(张炜). Chin. Phys. B, 2022, 31(2): 024501.
[3] Stabilizing effect of plasma discharge on bubbling fluidized granular bed
Hu Mao-Bin (胡茂彬), Dang Sai-Chao (党赛超), Ma Qiang (马强), Xia Wei-Dong (夏维东). Chin. Phys. B, 2015, 24(7): 074502.
[4] Experimental study and analysis on the rising motion of grains in a vertically-vibrated pipe
Liu Yu (刘煜), Zhao Jun-Hong (赵俊红). Chin. Phys. B, 2015, 24(3): 034502.
[5] Properties of surface waves in granular media under gravity
Zheng He-Peng (郑鹤鹏). Chin. Phys. B, 2014, 23(5): 054503.
[6] Stress distribution and surface instability of an inclined granular layer
Zheng He-Peng (郑鹤鹏), Jiang Yi-Min (蒋亦民), Peng Zheng (彭政). Chin. Phys. B, 2013, 22(4): 040511.
[7] Directed segregation in compartmentalized bi-disperse granular gas
Sajjad Hussain Shah, Li Yin-Chang(李寅阊), Cui Fei-Fei(崔非非), Zhang Qi(张祺), and Hou Mei-Ying(厚美瑛) . Chin. Phys. B, 2012, 21(1): 014501.
[8] Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas
Sajjad Hussain Shah, Li Yin-Chang(李寅阊), and Hou Mei-Ying (厚美瑛). Chin. Phys. B, 2010, 19(10): 108203.
[9] Ultrafast multiplex CARS investigation of vibrational characteristics in chloroform and PMMA
Wang Ying-Hui(王英惠), Peng Ya-Jing(彭亚晶), He Xing(何兴), Song Yun-Fei(宋云飞), and Yang Yan-Qiang(杨延强). Chin. Phys. B, 2009, 18(4): 1463-1468.
No Suggested Reading articles found!