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.
Description
The correlation between Voronoi volumes in disc packings
%0 Generic
%1 Zhao2011
%A Zhao, Song-Chuan
%A Sidle, Stacy
%A Swinney, Harry L.
%A Schröter, Matthias
%D 2011
%K Voronoi VoronoiVolumes discPacking
%T The correlation between Voronoi volumes in disc packings
%U http://arxiv.org/abs/1109.0935
%X 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.
@misc{Zhao2011,
abstract = {We measure the two-point correlation of free Voronoi volumes in binary disc
packings, where the packing fraction $\phi_{\rm avg}$ ranges from 0.8175 to
0.8380. We observe short-ranged correlations over the whole range of $\phi_{\rm
avg}$ and anti-correlations for $\phi_{\rm avg}>0.8277$. The spatial extent of
the anti-correlation increases with $\phi_{\rm avg}$ while the position of the
maximum of the anti-correlation and the extent of the positive correlation
shrink with $\phi_{\rm avg}$. We speculate that the onset of anti-correlation
corresponds to dilatancy onset in this system.
},
added-at = {2011-10-12T10:56:19.000+0200},
author = {Zhao, Song-Chuan and Sidle, Stacy and Swinney, {Harry L.} and Schr{\"o}ter, Matthias},
biburl = {https://www.bibsonomy.org/bibtex/25ea9d44251d969a898716e04d4e2d04f/snaegle},
description = {The correlation between Voronoi volumes in disc packings},
interhash = {5d1e936648a6e09322f886b8e717cdf3},
intrahash = {5ea9d44251d969a898716e04d4e2d04f},
keywords = {Voronoi VoronoiVolumes discPacking},
note = {cite arxiv:1109.0935},
timestamp = {2011-10-12T10:56:19.000+0200},
title = {The correlation between Voronoi volumes in disc packings},
url = {http://arxiv.org/abs/1109.0935},
year = 2011
}