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

doi:10.1088/1674-1056/23/7/076301

中国物理B ›› 2014, Vol. 23 ›› Issue (7): 76301-076301.doi: 10.1088/1674-1056/23/7/076301

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

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

张国华^a, 孙其诚^b, 石志萍^a, 冯旭^a, 顾强^a, 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

收稿日期:2013-11-12 修回日期:2014-03-12 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
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).

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

Received:2013-11-12 Revised:2014-03-12 Online:2014-07-15 Published:2014-07-15
Contact: Zhang Guo-Hua E-mail:zhguohua@sas.ustb.edu.cn
About author:63.50.-x; 45.70.-n; 61.43.-j
Supported by:
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).

摘要/Abstract

摘要： 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 ψ₆^l and ψ₆^g, 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 ω_BP shifts towards a lower frequency and the intensity of the boson peak D(ω_BP)/ω_BP 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 ω_BP/D(ω_BP), the shear modulus G, and the basin curvature S_IS 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.

关键词: granular matter, vibrational characteristics, size polydispersity, structural characteristics

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 ψ₆^l and ψ₆^g, 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 ω_BP shifts towards a lower frequency and the intensity of the boson peak D(ω_BP)/ω_BP 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 ω_BP/D(ω_BP), the shear modulus G, and the basin curvature S_IS 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.

Key words: granular matter, vibrational characteristics, size polydispersity, structural characteristics

中图分类号: (Vibrational states in disordered systems)

63.50.-x

45.70.-n (Granular systems) 61.43.-j (Disordered solids)

张国华, 孙其诚, 石志萍, 冯旭, 顾强, 金峰. Effect of size polydispersity on the structural and vibrational characteristics of two-dimensional granular assemblies[J]. 中国物理B, 2014, 23(7): 76301-076301.

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[J]. Chin. Phys. B, 2014, 23(7): 76301-076301.

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

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

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