Misc,

The correlation between Voronoi volumes in disc packings

, , , and .
(2011)cite arxiv:1109.0935.

Abstract

We measure the two-point correlation of free Voronoi volumes in binary disc packings, where the packing fraction $\phi_avg$ ranges from 0.8175 to 0.8380. We observe short-ranged correlations over the whole range of $\phi_\rm avg$ and anti-correlations for $\phi_avg>0.8277$. The spatial extent of the anti-correlation increases with $\phi_avg$ while the position of the maximum of the anti-correlation and the extent of the positive correlation shrink with $\phi_avg$. We speculate that the onset of anti-correlation corresponds to dilatancy onset in this system.

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