颗粒尺寸分散度对颗粒体系力学和几何结构特性的影响

冯旭; 张国华; 孙其诚

doi:10.7498/aps.62.184501

摘要

利用颗粒离散元方法, 研究了由2048个光滑颗粒组成的体系在各向同性压缩条件下, 颗粒尺寸分散度s对颗粒体系力学和几何结构特性的影响. 结果表明: 配位数、剪切模量、静态结构因子以及取向序关联函数等都随分散度的变化而变化, 而力的累积分布不受分散度的影响. 其中, 单分散体系(亦即s=0)的静态结构因子在低波数区域(亦即低k)遵从幂律标度S(k)∝0.2k-4/3, 各分散度下取向序关联函数峰值符合e指数变化规律g6(r)∝ae-r/ξ6, 其中序关联长度ξ6随分散度s增大而减小.

关键词:

Abstract

In this paper, the multi-disperse systems composed of 2048 frictionless particles with different size polydispersities are simulated by using the distinct element method, and effects of size polydispersity on mechanical and geometrical properties of these systems are studied under isotropic confining. The result shows that changing polydispersity can qualitatively affect the coordination number, shear modulus, static structure factor and orientational order correlation function, but it does not influence the cumulative force distribution. At small wave number k, static structure factor of mono-disperse systems shows the power scaling law S(k)∝0.2k-4/3. Moreover, the peak of orientational order correlation function exhibits an exponent scaling law g6 (r)∝ae-r/ξ6, and the scaling exponent ξ6 decreases with polydispersity increasing.

Keywords:

作者及机构信息

1.
北京科技大学物理系, 北京 100083;

2.
清华大学, 水沙科学与水利水电工程国家重点实验室, 北京 100084

基金项目: 国家自然科学基金(批准号:11272048,11034010,51239006)和中央高校基本科研业务费专项资金(批准号:FRF-BR-11-015A)资助的课题.

Authors and contacts

1.
Department of Physics, University of Science and Technology Beijing, Beijing 100083, China;

2.
State Key Laboratory for Hydroscience and Engineering, Tsinghua University, Beijing 100084, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11272048, 11034010, 51239006), and the Fundamental Research Funds for the Central Universities, China (Grant No. FRF-BR-11-015A).

参考文献

[1]	Silbert L E, Silbert M 2009 Phys. Rev. E 80 041304
[2]	Xu N, Ching E S C 2010 Soft Matter 6 2944
[3]	Han Y, Ha N Y, Alsayed A M, Yodh A G 2008 Phys. Rev. E 77 041406
[4]	Artoni R, Santomaso A C, Gabrieli F, Tono D, Cola S 2013 Phys. Rev. E 87 032205
[5]	Peng Y, Wang Z, Alsayed A M, Yodh A G, Han Y 2010 Phys. Rev. Lett. 104 205703
[6]	Meyer H, Schulmann N, Zabel J E, Wittmer J P 2011 Comput. Phys. Commun. 182 1949
[7]	Wen P P, Zheng N, Li L S, Li H, Sun G, Shi Q F 2012 Phys. Rev. E 85 031301
[8]	Yang J K, Schreck C, Noh H, Liew S F, Guy M I, O’Hern C S, Cao H 2010 Phys. Rev. A 82 053838
[9]	Xu W S, Sun Z Y, An L J 2012 J. Chem. Phys. 137 104509
[10]	Berthier L, Chaudhuri P, Coulais C, Dauchot O, Sollich P 2011 Phys. Rev. Lett. 106 120601
[11]	Paulus M, Gutt C, Tolan M 2008 Phys. Rev. B 78 235419
[12]	Donev A, Stillinger F H, Torquato S 2005 Phys. Rev. Lett. 95 090604
[13]	Torquato S, Stillinger F H 2003 Phys. Rev. E 68 041113
[14]	Warr S, Hansen J P 1996 Europhys. Lett. 36 589
[15]	Maier B, Rädler J O 1999 Phys. Rev. Lett. 82 1911
[16]	Schreck C F, O’Hern C S, Silbert L E 2011 Phys. Rev. E 84 011305
[17]	Agarwal U, Escobedo F A 2012 Soft Matter 8 5916
[18]	Prestipino S, Saija F, Giaquinta P V 2011 Phys. Rev. Lett. 106 235701
[19]	Bakker A F, Bruin C, Hilhorst H J 1984 Phys. Rev. Lett. 52 449
[20]	Charbonneau P, Corwin E I, Parisi G, Zamponi F 2012 Phys. Rev. Lett. 109 205501

施引文献

[1]	Silbert L E, Silbert M 2009 Phys. Rev. E 80 041304
[2]	Xu N, Ching E S C 2010 Soft Matter 6 2944
[3]	Han Y, Ha N Y, Alsayed A M, Yodh A G 2008 Phys. Rev. E 77 041406
[4]	Artoni R, Santomaso A C, Gabrieli F, Tono D, Cola S 2013 Phys. Rev. E 87 032205
[5]	Peng Y, Wang Z, Alsayed A M, Yodh A G, Han Y 2010 Phys. Rev. Lett. 104 205703
[6]	Meyer H, Schulmann N, Zabel J E, Wittmer J P 2011 Comput. Phys. Commun. 182 1949
[7]	Wen P P, Zheng N, Li L S, Li H, Sun G, Shi Q F 2012 Phys. Rev. E 85 031301
[8]	Yang J K, Schreck C, Noh H, Liew S F, Guy M I, O’Hern C S, Cao H 2010 Phys. Rev. A 82 053838
[9]	Xu W S, Sun Z Y, An L J 2012 J. Chem. Phys. 137 104509
[10]	Berthier L, Chaudhuri P, Coulais C, Dauchot O, Sollich P 2011 Phys. Rev. Lett. 106 120601
[11]	Paulus M, Gutt C, Tolan M 2008 Phys. Rev. B 78 235419
[12]	Donev A, Stillinger F H, Torquato S 2005 Phys. Rev. Lett. 95 090604
[13]	Torquato S, Stillinger F H 2003 Phys. Rev. E 68 041113
[14]	Warr S, Hansen J P 1996 Europhys. Lett. 36 589
[15]	Maier B, Rädler J O 1999 Phys. Rev. Lett. 82 1911
[16]	Schreck C F, O’Hern C S, Silbert L E 2011 Phys. Rev. E 84 011305
[17]	Agarwal U, Escobedo F A 2012 Soft Matter 8 5916
[18]	Prestipino S, Saija F, Giaquinta P V 2011 Phys. Rev. Lett. 106 235701
[19]	Bakker A F, Bruin C, Hilhorst H J 1984 Phys. Rev. Lett. 52 449
[20]	Charbonneau P, Corwin E I, Parisi G, Zamponi F 2012 Phys. Rev. Lett. 109 205501

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