Origin of Noncubic Scaling Law in Disordered Granular Packing

Recent diffraction experiments on metallic glasses have unveiled an unexpected noncubic scaling law between density and average interatomic distance, which led to the speculation of the presence of fractal glass order. Using x-ray tomography we identify here a similar noncubic scaling law in disorde...

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Bibliographic Details
Published in:Physical review letters 2017-06, Vol.118 (23), p.238002-238002, Article 238002
Main Authors: Xia, Chengjie, Li, Jindong, Kou, Binquan, Cao, Yixin, Li, Zhifeng, Xiao, Xianghui, Fu, Yanan, Xiao, Tiqiao, Hong, Liang, Zhang, Jie, Kob, Walter, Wang, Yujie
Format: Article
Language:English
Subjects:
Condensed Matter
Disordered Systems and Neural Networks
Physics
Statistical Mechanics
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Summary:Recent diffraction experiments on metallic glasses have unveiled an unexpected noncubic scaling law between density and average interatomic distance, which led to the speculation of the presence of fractal glass order. Using x-ray tomography we identify here a similar noncubic scaling law in disordered granular packing of spherical particles. We find that the scaling law is directly related to the contact neighbors within the first nearest neighbor shell, and, therefore, is closely connected to the phenomenon of jamming. The seemingly universal scaling exponent around 2.5 arises due to the isostatic condition with a contact number around 6, and we argue that the exponent should not be universal.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.118.238002