Correlation between Voronoi volumes in disc packings

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2012-02-01

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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 conjecture that the onset of anti-correlation corresponds to dilatancy onset in this system.

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10.1209/0295-5075/97/34004

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Zhao, Song-Chuan, Stacy Sidle, Harry L Swinney and Matthias Schröter (2012). Correlation between Voronoi volumes in disc packings. EPL (Europhysics Letters), 97(3). pp. 34004–34004. 10.1209/0295-5075/97/34004 Retrieved from https://hdl.handle.net/10161/20165.

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Matthias Schroter

Visiting Associate Professor of DKU Studies at Duke University

I am interested in (in order of appearance): Greek philosophy, pattern formation, minimal music, granular matter, meditation, X-ray tomography, machine learning,  ....


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