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Chin. Phys. B, 2014, Vol. 23(7): 076301    DOI: 10.1088/1674-1056/23/7/076301
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

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:  zhguohua@sas.ustb.edu.cn
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

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