# Calculation of the Voronoi boundary for lens-shaped particles and spherocylinders

@article{Portal2013CalculationOT, title={Calculation of the Voronoi boundary for lens-shaped particles and spherocylinders}, author={Louis Portal and Maximilien Danisch and Adrian Baule and Romain Mari and Hern{\'a}n A. Makse}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2013}, volume={2013}, pages={11009} }

We have recently developed a mean-field theory to estimate the packing fraction of non-spherical particles (Baule et al 2013 Nature Commun. 4 2194). The central quantity in this framework is the Voronoi excluded volume, which generalizes the standard hard-core excluded volume appearing in Onsager's theory. The Voronoi excluded volume is defined from an exclusion condition for the Voronoi boundary between two particles, which is usually not tractable analytically. Here, we show how the technical…

## 3 Citations

Fundamental challenges in packing problems: from spherical to non-spherical particles.

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This work has shown that this approach, first introduced by S. F. Edwards more than two decades ago, can be cast into a predictive framework to calculate the packing fractions of both spherical and non-spherical particles.

Statistical theory of correlations in random packings of hard particles.

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This work takes inspiration from liquid theories for the n-particle angular correlation function to develop a formalism of random packings of hard particles from the bottom up and predicts the density of two-dimensional random close packing and random loose packing.

Edwards Statistical Mechanics for Jammed Granular Matter

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- 2016

In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium statistical…

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