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

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

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.

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

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

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