Origin of Non-cubic Scaling Law in Disordered Granular Packing
Abstract
Recent diffraction experiments on metallic glasses have unveiled an unexpected non-cubic scaling law between density and average interatomic distance, which lead to the speculations on the presence of fractal glass order. Using X-ray tomography we identify here a similar non-cubic scaling law in disordered granular packing of spherical particles. We find that the scaling law is directly related to the contact neighbors within 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 contact number around 6, and we argue that the exponent should not be universal.
Keywords
Cite
@article{arxiv.1705.06856,
title = {Origin of Non-cubic Scaling Law in Disordered Granular Packing},
author = {Chengjie Xia and Jindong Li and Bingquan Kou and Yixin Cao and Zhifeng Li and Xianghui Xiao and Yanan Fu and Tiqiao Xiao and Liang Hong and Jie Zhang and Walter Kob and Yujie Wang},
journal= {arXiv preprint arXiv:1705.06856},
year = {2017}
}
Comments
24 pages, 8 figures,to be published in Phys. Rev. Lett