Boris A. Klumov, Yuliang Jin, Hernan A. Makse
The structural properties of dense random packings of identical hard spheres (HS) are investigated by using large scale simulations. The bond order parameter method is used to obtain detailed information on the local orientational order of the HS system at different packing fractions $\phi$, in the range between $\phi \approx 0.53$ and $\phi \approx 0.72$. The probability distribution functions of the spheres versus different $q_l w_l$ are used to construct new measures, characterizing the crystallization of the system. Our results show that behind the Bernal limit the crystalline clusters transform into the global three-dimensional crystalline structure, which, upon further densification, transforms into alternating planar layers formed by different lattice types.
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http://arxiv.org/abs/1305.1032
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